$v_3\{\Psi_1\}$ vs. centrality for $\pi^+$, $\pi^-$, and protons using the event plane method in $\sqrt{s_{\textrm{NN}}}=3$ GeV Au+Au collisions at STAR.

$v_3\{\Psi_1\}$ vs. centrality for $K^+$, and $K^-$ using the event plane method in $\sqrt{s_{\textrm{NN}}}=3$ GeV Au+Au collisions at STAR.

$v_3\{\Psi_1\}$ vs. centrality for $K^+$, and $K^-$ using the event plane method in $\sqrt{s_{\textrm{NN}}}=3$ GeV Au+Au collisions at STAR.

$v_3\{\Psi_1\}$ vs. rapidity for protons in three large centrality bins from a symmetric acceptance across midrapidity in $\sqrt{s_{\textrm{NN}}}=3$ GeV Au+Au collisions at STAR. Protons exhibit an increasingly negative slope as the centrality increases.

$v_3\{\Psi_1\}$ vs. rapidity for protons in three large centrality bins from a symmetric acceptance across midrapidity in $\sqrt{s_{\textrm{NN}}}=3$ GeV Au+Au collisions at STAR. Protons exhibit an increasingly negative slope as the centrality increases.

$v_3\{\Psi_1\}$ vs. rapidity for protons in three large centrality bins from only the backward region in $\sqrt{s_{\textrm{NN}}}=3$ GeV Au+Au collisions at STAR. Note that the $p_{\mathrm{T}}$ acceptance extends to a lower limit than in Fig. 6.

$v_3\{\Psi_1\}$ vs. rapidity for protons in three large centrality bins from only the backward region in $\sqrt{s_{\textrm{NN}}}=3$ GeV Au+Au collisions at STAR. Note that the $p_{\mathrm{T}}$ acceptance extends to a lower limit than in Fig. 6.

$v_3\{\Psi_1\}$ vs. $p_{\mathrm{T}}$ for protons in three large centrality bins in $\sqrt{s_{\textrm{NN}}}=3$ GeV Au+Au collisions at STAR. $v_3\{\Psi_1\}$ becomes increasingly negative as $p_{\mathrm{T}}$ and centrality increase.

$v_3\{\Psi_1\}$ vs. $p_{\mathrm{T}}$ for protons in three large centrality bins in $\sqrt{s_{\textrm{NN}}}=3$ GeV Au+Au collisions at STAR. $v_3\{\Psi_1\}$ becomes increasingly negative as $p_{\mathrm{T}}$ and centrality increase.

Net-proton cumulant ratios C4/C2, C5/C1, C6/C2 (0-40$\%$ and 50-60$\%$ centrality) and C3/C1 (0-40$\%$ centrality) in Au+Au collisions from $\sqrt{s_{NN}}$ = 3 - 200 GeV. At $\sqrt{s_{NN}}$ = 3 GeV, measurement is done for protons instead of net-protons, and with halfrapdity coverage (-0.5 $<$ y $<$ 0) while for rest of energies the rapidity coverage is (-0.5 $<$ y $<$ -0.5).

Net-proton cumulant ratios C4/C2, C5/C1, C6/C2 (0-40$\%$ and 50-60$\%$ centrality) and C3/C1 (0-40$\%$ centrality) from UrQMD model in Au+Au collisions from $\sqrt{s_{NN}}$ = 3 -200 GeV. At $\sqrt{s_{NN}}$ = 3 GeV, UrQMD calculation is done for protons instead of net-protons, and with halfrapdity coverage (-0.5 $<$ y $<$ 0) while for rest of energies the rapidity coverage is (-0.5 $<$ y $<$ -0.5).

Fifth-to-first (KS5/KS1) and sixth-to-second (KS6/KS2) order K-statistic ratios of net-proton distributions in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV for 0-40$\%$ and 50-60$\%$ centrality.

Net-proton cumulant ratio C6/C2 and corresponding K-statistic ratio (0-40$\%$) in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV as a function of sample size. Uncertainties are only statistical.

Cumulant ratios C4/C2, C5/C1, C6/C2 and C3/C1 of net-proton distributions measured with half rapdity coverage (-0.5 $<$ y $<$ 0) in 0-40$\%$ central Au+Au collisions for collider energies from $\sqrt{s_{NN}}$ = 7.7 - 54.4 GeV.

Cumulant ratios C5/C1 of net-proton distributions measured in 40-50$\%$, 60-70$\%$, and 70-80$\%$ Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. This is supplemental data and was not part of the original paper.

The Au+Au 200 GeV measurements of the two-, four- and six-particle elliptic flow and the elliptic flow fluctuations.

The Au+Au 54.4 GeV measurements of the two-, four- and six-particle elliptic flow and the elliptic flow fluctuations.

The Au+Au 39 GeV measurements of the two-, four- and six-particle elliptic flow and the elliptic flow fluctuations.

The Au+Au 27 GeV measurements of the two-, four- and six-particle elliptic flow and the elliptic flow fluctuations.

The Au+Au 19.6 GeV measurements of the two- and four-particle elliptic flow and the elliptic flow fluctuations.

The Au+Au 11.5 GeV measurements of the two- and four-particle elliptic flow and the elliptic flow fluctuations.

The U+U 193 GeV measurements of the two-, four- and six-particle elliptic flow and the elliptic flow fluctuations.

The Cu+Au 200 GeV measurements of the two-, four- and six-particle elliptic flow and the elliptic flow fluctuations.

'$\overline{\Lambda}$ $D_{LL}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'$\Lambda$ $D_{LL}$ as a function of $p_{T}$ at $-1.2 < \eta_{\Lambda(\overline{\Lambda})} < 0$'

'$\overline{\Lambda}$ $D_{LL}$ as a function of $p_{T}$ at $-1.2 < \eta_{\Lambda(\overline{\Lambda})} < 0$'

'$\Lambda$ $D_{LL}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'$\overline{\Lambda}$ $D_{LL}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'Two-year-combined $\Lambda$ $D_{LL}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'Two-year-combined $\overline{\Lambda}$ $D_{LL}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'Two-year-combined $\Lambda+\overline{\Lambda}$ $D_{LL}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'Two-year-combined $\Lambda$ $D_{LL}$ as a function of $p_{T}$ at $-1.2 < \eta_{\Lambda(\overline{\Lambda})} < 0$'

'Two-year-combined $\overline{\Lambda}$ $D_{LL}$ as a function of $p_{T}$ at $-1.2 < \eta_{\Lambda(\overline{\Lambda})} < 0$'

'$\Lambda$ $D_{LL}$ as a function of z at $0 < \eta_{jet} < 1.0$'

'$\overline{\Lambda}$ $D_{LL}$ as a function of z at $0 < \eta_{jet} < 1.0$'

'$\Lambda$ $D_{LL}$ as a function of z at $-1.0 < \eta_{jet} < 0$'

'$\overline{\Lambda}$ $D_{LL}$ as a function of z at $-1.0 < \eta_{jet} < 0$'

'particle jet pt as a function of $\Lambda$ z'

'particle jet pt as a function of $\overline{\Lambda}$ z'

'$\Lambda$ $D_{TT}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'$\overline{\Lambda}$ $D_{TT}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'$\Lambda$ $D_{TT}$ as a function of $p_{T}$ at $-1.2 < \eta_{\Lambda(\overline{\Lambda})} < 0$'

'$\overline{\Lambda}$ $D_{TT}$ as a function of $p_{T}$ at $-1.2 < \eta_{\Lambda(\overline{\Lambda})} < 0$'

'$\Lambda$ $D_{TT}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'$\overline{\Lambda}$ $D_{TT}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'Two-year-combined $\Lambda$ $D_{TT}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'Two-year-combined $\overline{\Lambda}$ $D_{TT}$ as a function of $p_{T}$ at $0 < \eta_{\Lambda(\overline{\Lambda})} < 1.2$'

'Two-year-combined $\Lambda$ $D_{TT}$ as a function of $p_{T}$ at $-1.2 < \eta_{\Lambda(\overline{\Lambda})} < 0$'

'Two-year-combined $\overline{\Lambda}$ $D_{TT}$ as a function of $p_{T}$ at $-1.2 < \eta_{\Lambda(\overline{\Lambda})} < 0$'

'$\Lambda$ $D_{TT}$ as a function of z at $0 < \eta_{jet} < 1.0$'

'$\overline{\Lambda}$ $D_{TT}$ as a function of z at $0 < \eta_{jet} < 1.0$'

'$\Lambda$ $D_{TT}$ as a function of z at $-1.0 < \eta_{jet} < 0$'

'$\overline{\Lambda}$ $D_{TT}$ as a function of z at $-1.0 < \eta_{jet} < 0$'

'particle jet pt as a function of $\Lambda$ z'

'particle jet pt as a function of $\overline{\Lambda}$ z'

$P_z$ sine coefficients of $\Lambda+\bar{\Lambda}$ as a function of transverse momentum in isobar collisions at 200 GeV.

$P_z$ sine coefficients of $\Lambda+\bar{\Lambda}$ as a function of the number of participants in isobar collisions at 200 GeV. The number of participants for isobar collisions were taken from Table III of Phys.Rev.C105, 014901 (2022) and averaged. Same data as the centrality dependence in Fig. 3.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 200 GeV.

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 19.6 GeV.

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 39 GeV.

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 200 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 11.5 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 14.5 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 19.6 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 39 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 54.4 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 62.4 GeV.

$\Delta F_{q}(M)$ ($q=$ 3-6) as a function of $\Delta F_{2}(M)$ in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 200 GeV.

The scaling index, $\beta_{q}$ ($q=$ 3-6), as a function of $q-1$ in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7-200 GeV.

The scaling exponent ($\nu$), as a function of average number of participant nucleons ($\langle N_{part}\rangle$), in Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 19.6-200 GeV. The data with the largest number of $\langle N_{part}\rangle$ correspond to the most central collisions (0-5\%), and the rest of the points are for 5-10\%, 10-20\%, 20-30\% and 30-40\% centrality, respectively. The numbers of $\langle N_{part}\rangle$ at $\sqrt{s_\mathrm{_{NN}}}$ = 19.6 are: 338,289,225,158,108. The numbers of $\langle N_{part}\rangle$ at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV are: 343,299,234,166,114. The numbers of $\langle N_{part}\rangle$ at $\sqrt{s_\mathrm{_{NN}}}$ = 39 GeV are: 342,294,230,162,111. The numbers of $\langle N_{part}\rangle$ at $\sqrt{s_\mathrm{_{NN}}}$ = 54.4 GeV are: 346,292,228,161,111. The numbers of $\langle N_{part}\rangle$ at $\sqrt{s_\mathrm{_{NN}}}$ = 62.4 GeV are 347,294,230,164,114. The numbers of $\langle N_{part}\rangle$ at $\sqrt{s_\mathrm{_{NN}}}$ = 200 GeV are:351,299,234,168,117.

Collision energy dependence of the scaling exponent in the 0-10% and 10-40% centrality collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7-200 GeV

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 11.5 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 14.5 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 19.6 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 39 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 54.4 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 62.4 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 200 GeV.

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 11.5 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 14.5 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 19.6 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 39 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 54.4 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 62.4 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in the most central Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 200 GeV

Efficiency corrected and uncorrected $\Delta F_{2}(M)$ as a function of $M^{2}$ in the most central (0-5%) Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV

Efficiency corrected and uncorrected $\Delta F_{3}(M)$ as a function of $M^{2}$ in the most central (0-5%) Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV

Efficiency corrected and uncorrected $\Delta F_{4}(M)$ as a function of $M^{2}$ in the most central (0-5%) Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV

Efficiency corrected and uncorrected $\Delta F_{5}(M)$ as a function of $M^{2}$ in the most central (0-5%) Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV

Efficiency corrected and uncorrected $\Delta F_{6}(M)$ as a function of $M^{2}$ in the most central (0-5%) Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 27 GeV

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the most central (0-5\%) Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the 5-10\% centrality Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the 10-20\% centrality Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the 20-30\% centrality Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

The scaled factorial moments, $F_{q}(M)$($q=$ 2-6), of identified charged hadrons ($h^{\pm}$) multiplicity in the 30-40\% centrality Au$+$Au collisions at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV.

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in 0-5% centrality classes at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in 5-10% centrality classes at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in 10-20% centrality classes at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in 20-30% centrality classes at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV

$\Delta F_{q}(M)$ ($q=$ 2-6) as a function of $M^{2}$ in 30-40% centrality classes at $\sqrt{s_\mathrm{_{NN}}}$ = 7.7 GeV

HFE (electrons from semileptonic decays of heavy-flavor hadrons) invariant yields in different centrality intervals of Au+Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV. The vertical bars and the boxes represent statistical and systematic uncertainties, respectively. The horizontal bars indicate the bin width.

HFE (electrons from semileptonic decays of heavy-flavor hadrons) $R_{\rm AA}$ (red circles) as a function of $p_{\rm T}$ in different centrality intervals of Au+Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV, compared with STAR (yellow stars) and PHENIX (green squares) published results, and Duke ((modified Langevin transport model, blue line) and PHSD (parton-hadron-string dynamics model, orange line) model calculations. Vertical bars and boxes around data points represent combined statistical and systematic uncertainties from both Au+Au and $p$+$p$ measurements, respectively. Boxes at unity show the global uncertainties, which for this analysis include the 8% global uncertainty on $p$+$p$ reference and the $N_{\rm coll}$ uncertainties. The left box is for PHENIX and the right one for STAR.

HFE (electrons from semileptonic decays of heavy-flavor hadrons) $R_{\rm AA}$ (red circles) as a function of $N_{\rm part}$ in Au+Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV, compared with PHENIX measurements (green squares), and Duke (blue line) and PHSD (orange line) model calculations. Vertical bars and boxes around data points represent statistical and systematic uncertainties from Au+Au measurements, respectively. The gray band represents the $N_{\rm coll}$ uncertainties. The boxes at unity show the global uncertainties including the total uncertainties of the $p$+$p$ reference.

Integrated $D^0$ cross section per nucleon-nucleon collision at mid-rapidity for $p_T >0$ (a) and $p_T >4$ GeV/c (b) as a function of centrality $N_{part}$. The statistical and systematic uncertainties are shown as error bars and brackets on the data points. The green boxes on the data points depict the overall normalization uncertainties in p+p and Au+Au data respectively.

$D^0$ $R_{AA}$ in Au+Au collisions at $\sqrt{s_{NN}} =200$ GeV for $0-10\%$ (a), $10-40\%$ (b) and $40-80\%$ (c) centrality bins, respectively. The first two and last two data points are presented as empty circles, indicating that the p+p reference is extrapolated into these $p_T$ ranges. The statistical and systematic uncertainties are shown as error bars and brackets on the data points. The light and dark green boxes on the right depict the normalization uncertainties in determining the $N_{bin}$ in Au+Au collisions and the total inelastic cross section in p+p collisions, respectively.

$D^0$ and $\bar{D}^0$ invariant yields at mid-rapidity $(|y|<1)$ vs transverse momentum for different centrality classes. Error bars indicate statistical uncertainties and brackets depict systematic uncertainties. Global systematic uncertainties in B.R. and $N_{bin}$ are not plotted. Solid lines depict Levy function fits.

$\bar{D}^0/D^0$ invariant yield ratio at mid-rapidity $(|y|<1)$ vs transverse momentum for different centrality classes. Error bars indicate statistical uncertainties and brackets depict systematic uncertainties. Dashed lines depict constant function fits to the $\bar{D}^0/D^0$ ratios.

$D_0$ $R_{CP}$ with the $60-80\%$ spectrum as the reference for different centrality classes compared to the LBT model calculations shown by dashed lines [48, 49].

$D^0$ $R_{CP}$ with the $40-60\%$ spectrum as the reference for different centrality classes compared to model calculations from LBT (black dotted lines) and the Duke (blue dashedlines) groups [48-50].

BW fit parameters for $D^0$

$D^0$ invariant yield at mid-rapidity $(|y|<1)$ vs transverse kinetic energy ($m_T -m_0$) for different centrality classes. Error bars indicate statistical uncertainties and brackets depict systematic uncertainties. Global systematic uncertainties in B.R. are not plotted. Solid and dashed black lines depict exponential function fits and the dot-dashed line depicts a power-law function fit to the spectrum in the $60-80\%$ centrality bin.

mT fit parameters Teff $D^0$

mT fit parameters Teff Jpsi

mT fit parameters Teff K

mT fit parameters Teff Lambda

mT fit parameters Teff Omega

mT fit parameters Teff p

mT fit parameters Teff phi

mT fit parameters Teff pi

mT fit parameters Teff Xi

Nbin and Npart for different centralities in AuAu collisions

Vertex resolution uncertainties for different centralities in Au+Au collisions (for $R_{CP}$ plot)

Mass dependence of the mid-rapidity $v_1$ slope, $dv_1/dy$, for $\Lambda$, $^{3}_{\Lambda}$H and $^{4}_{\Lambda}$H from the $\sqrt{s_{NN}}$ = 3 GeV 5-40% mid-central Au+Au collisions. The statistical and systematic uncertainties are presented by vertical lines and square brackets, respectively. The slopes of $p$, $d$, $t$, $^3$He and $^4$He from the same collisions are shown as black circles. The blue and dashed green lines are the results of a linear fit to the measured light nuclei and hypernuclei $v_1$ slopes, respectively. For comparison, calculations of transport models plus coalescence afterburner are shown as gold and red bars from JAM model, and blue bars from UrQMD model.

Mass dependence of the mid-rapidity $v_1$ slope, $dv_1/dy$, for $\Lambda$, $^{3}_{\Lambda}$H and $^{4}_{\Lambda}$H from the $\sqrt{s_{NN}}$ = 3 GeV 5-40% mid-central Au+Au collisions. The statistical and systematic uncertainties are presented by vertical lines and square brackets, respectively. The slopes of $p$, $d$, $t$, $^3$He and $^4$He from the same collisions are shown as black circles. The blue and dashed green lines are the results of a linear fit to the measured light nuclei and hypernuclei $v_1$ slopes, respectively. For comparison, calculations of transport models plus coalescence afterburner are shown as gold and red bars from JAM model, and blue bars from UrQMD model.

Mass dependence of the mid-rapidity $v_1$ slope, $dv_1/dy$, for $\Lambda$, $^{3}_{\Lambda}$H and $^{4}_{\Lambda}$H from the $\sqrt{s_{NN}}$ = 3 GeV 5-40% mid-central Au+Au collisions. The statistical and systematic uncertainties are presented by vertical lines and square brackets, respectively. The slopes of $p$, $d$, $t$, $^3$He and $^4$He from the same collisions are shown as black circles. The blue and dashed green lines are the results of a linear fit to the measured light nuclei and hypernuclei $v_1$ slopes, respectively. For comparison, calculations of transport models plus coalescence afterburner are shown as gold and red bars from JAM model, and blue bars from UrQMD model.

Mass dependence of the mid-rapidity $v_1$ slope, $dv_1/dy$, for $\Lambda$, $^{3}_{\Lambda}$H and $^{4}_{\Lambda}$H from the $\sqrt{s_{NN}}$ = 3 GeV 5-40% mid-central Au+Au collisions. The statistical and systematic uncertainties are presented by vertical lines and square brackets, respectively. The slopes of $p$, $d$, $t$, $^3$He and $^4$He from the same collisions are shown as black circles. The blue and dashed green lines are the results of a linear fit to the measured light nuclei and hypernuclei $v_1$ slopes, respectively. For comparison, calculations of transport models plus coalescence afterburner are shown as gold and red bars from JAM model, and blue bars from UrQMD model.

Mass dependence of the mid-rapidity $v_1$ slope, $dv_1/dy$, for $\Lambda$, $^{3}_{\Lambda}$H and $^{4}_{\Lambda}$H from the $\sqrt{s_{NN}}$ = 3 GeV 5-40% mid-central Au+Au collisions. The statistical and systematic uncertainties are presented by vertical lines and square brackets, respectively. The slopes of $p$, $d$, $t$, $^3$He and $^4$He from the same collisions are shown as black circles. The blue and dashed green lines are the results of a linear fit to the measured light nuclei and hypernuclei $v_1$ slopes, respectively. For comparison, calculations of transport models plus coalescence afterburner are shown as gold and red bars from JAM model, and blue bars from UrQMD model.

Inclusive Y(2S) $R_{AA}$ as a function of centrality in Au+Au collisions at 200 GeV. The bin corresponding to $N_{part}$ = 162 is for 0-60% centrality. Global uncertainty of 20.5% not shown.

Upper limit of inclusive Y(3S) $R_{AA}$ with 95% confidence level in 0-60% Au+Au collisions at 200 GeV

Upper limit of inclusive Y(3S) $R_{AA}$ with 95% confidence level in 0-60% Au+Au collisions at 200 GeV

Inclusive Y(1S) $R_{AA}$ as a function of $p_{T}$ in Au+Au collisions at 200 GeV. Global uncertainty of 6.8% not shown.

Inclusive Y(1S) $R_{AA}$ as a function of $p_{T}$ in 0-60% Au+Au collisions at 200 GeV. Global uncertainty of 6.8% not shown.

Inclusive Y(2S) R_{AA} as a function of p_{T} in Au+Au collisions at 200 GeV. Global uncertainty of 6.8% not shown.

Inclusive Y(2S) $R_{AA}$ as a function of $p_{T}$ in 0-60% Au+Au collisions at 200 GeV. Global uncertainty of 6.8% not shown.

Inclusive Y(1S) yield as a function of centrality in Au+Au collisions at 200 GeV. The bin corresponding to $N_{part}$ = 162 is for 0-60% centrality.

Inclusive Y(2S) yield as a function of centrality in Au+Au collisions at 200 GeV. The bin corresponding to $N_{part}$ = 162 is for 0-60% centrality.

Upper limit of inclusive Y(3S) yield with 95% confidence level in 0-60% Au+Au collisions at 200 GeV

Inclusive Y(1S) yield as a function of $p_{T}$ in 0-60% Au+Au collisions at 200 GeV.

Inclusive Y(2S) yield as a function of p_{T} in 0-60% Au+Au collisions at 200 GeV.

Y(2S)/Y(1S) ratio as a function of centrality in Au+Au collisions at 200 GeV. The bin corresponding to $N_{part}$ = 162 is for 0-60% centrality.

Upper limit of Y(3S)/Y(1S) ratio with 95% confidence level in 0-60% Au+Au collisions at 200 GeV

Y(2S)/Y(1S) ratio as a function of $p_{T}$ in 0-60% Au+Au collisions at 200 GeV.

Invariant yields of tritons at 19.6 GeV, all centralities. The first uncertainty is statistical uncertainty, the second is systematic uncertainty.

Invariant yields of tritons at 27 GeV, all centralities. The first uncertainty is statistical uncertainty, the second is systematic uncertainty.

Invariant yields of tritons at 39 GeV, all centralities. The first uncertainty is statistical uncertainty, the second is systematic uncertainty.

Invariant yields of tritons at 54.4 GeV, all centralities. The first uncertainty is statistical uncertainty, the second is systematic uncertainty.

Invariant yields of tritons at 62.4 GeV, all centralities. The first uncertainty is statistical uncertainty, the second is systematic uncertainty.

Invariant yields of tritons at 200 GeV, all centralities. The first uncertainty is statistical uncertainty, the second is systematic uncertainty.

Triton integral dN/dy in Au+Au collisions at SQRT(s_NN) = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4, 200 GeV, all centrality

Invariant yields of inclusive proton at 54.4 GeV with DCA < 3 cm, all centralities

Inclusive proton integral dN/dy in Au+Au collisions at SQRT(s_NN) = 54.4 GeV, with DCA < 3 cm.

Invariant yields of deuteron at 54.4 GeV, all centralities

Deuteron integral dN/dy in Au+Au collisions at SQRT(s_NN) = 54.4 GeV, all centrality

Particle yield ratios at 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4, and 200 GeV, 0%-10% centrality

Charged-particle multiplicity (dN_{ch}/d\eta) of light nuclei yield ratio, all centralities

Collision energy, centrality, and p_{T} dependence of light nuclei yield, 0%-10% and 40%-80% centrality

Invariant p_{T} spectra of primordial protons in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV at 0-60% centrality

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 7.7 GeV at 60-80% centrality

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 11.5 GeV, all centrality

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 14.5 GeV

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 19.6 GeV

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 27 GeV

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 39 GeV

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 54.4 GeV

Invariant p_{T} spectra of primordial protons in Au+Au collisions at SQRT(s_NN) = 62.4 GeV

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 7.7 GeV at 0-60% centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 7.7 GeV at 60-80% centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 11.5 GeV at 0-40% centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 11.5 GeV at 40-80% centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 14.5 GeV, all centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 19.6 GeV, all centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 27 GeV, all centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 39 GeV, all centrality

Invariant p_{T} spectra of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 62.4 GeV, all centrality

Integral yields dN/dy of primordial protons in Au+Au collisions at SQRT(s_NN) = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 200, all centrality

Integral yields dN/dy of primordial antiprotons in Au+Au collisions at SQRT(s_NN) = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 200, all centrality

Integral yields dN/dy of primordial protons and antiprotons in Au+Au collisions at SQRT(s_NN) = 62.4, all centrality

Proton feed-down fraction in Au+Au collisions at SQRT(s_NN) = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 200, all centrality

Antiproton weak decay feed-down fraction in Au+Au collisions at SQRT(s_NN) = 7.7, 11.5, 14.5, 19.6, 27, 39, all centrality

Protons and antiprotons weak decay feed-down fraction in Au+Au collisions at SQRT(s_NN) = 62.4, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 11.5 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 27 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 39 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 54.4 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 62.4 GeV, all centrality

Fraction of the measured and extrapolated yield for primordial proton in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 11.5 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 27 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 39 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 54.4 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 62.4 GeV, all centrality

Fraction of the measured and extrapolated yield for deuteron in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 11.5 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 27 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 39 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 54.4 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 62.4 GeV, all centrality

Fraction of the measured and extrapolated yield for triton in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV, all centrality

This dataset corresponds to Figure 2, the v2 ratio value estimated between epd (\Psi_1) and tpc (\Psi_2) in the paper

This dataset corresponds to Figure 2, the v2 ratio value estimated between epd (\Psi_1) and epd (\Psi_2) in the paper

This dataset corresponds to Figure 3, the \Delta\gamma_{112}multiply N_{part} value estimated by tpc (\Psi_2) in the paper

This dataset corresponds to Figure 3, the \Delta\gamma_{112}multiply N_{part} value estimated by epd (\Psi_2) in the paper

This dataset corresponds to Figure 3, the \Delta\gamma_{1111}multiply N_{part} value estimated by epd (\Psi_1) in the paper

This dataset corresponds to Figure 3, the ratio between \Delta\gamma_{1111} (by epd \Psi_1) and \Delta\gamma(112) (by tpc \Psi_2) in the paper

This dataset corresponds to Figure 3, the ratio between \Delta\gamma_{1111} (by epd \Psi_1) and \Delta\gamma(112) (by epd \Psi_2) in the paper

This dataset corresponds to Figure 4, the \Delta\gamma_{112}multiply N_{part} and scaled by v_2 estimated by tpc (\Psi_2) in the paper

This dataset corresponds to Figure 4, the \Delta\gamma_{112}multiply N_{part} and scaled by v_2 estimated by epd (\Psi_2) in the paper

This dataset corresponds to Figure 4, the \Delta\gamma_{1111}multiply N_{part} and scaled by v_2 estimated by epd (\Psi_1) in the paper

This dataset corresponds to Figure 4, the ratio between \Delta\gamma_{1111} scaled by v_{211} (by epd \Psi_1) and \Delta\gamma(112) scaled by v_2 (by tpc \Psi_2) in the paper

This dataset corresponds to Figure 4, the ratio between \Delta\gamma_{1111} scaled by v_{211} (by epd \Psi_1) and \Delta\gamma(112) scaled by v_2 (by epd \Psi_2) in the paper

Comparison of the inclusive, mode-coupled and linear higher-order flow harmonics $v_4$ for Au+Au collisions at 54.4 GeV.

Comparison of the inclusive, mode-coupled and linear higher-order flow harmonics $v_5$ for Au+Au collisions at 54.4 GeV.

Comparison of the inclusive, mode-coupled and linear higher-order flow harmonics $v_4$ for Au+Au collisions at 39.0 GeV.

Comparison of the inclusive, mode-coupled and linear higher-order flow harmonics $v_4$ for Au+Au collisions at 27.0 GeV.

Comparison of the $\chi_{4,22}$ and $\rho_{4,22}$ for Au+Au collisions at 54.4 GeV.

Comparison of the $\chi_{3,23}$ and $\rho_{5,23}$ for Au+Au collisions at 54.4 GeV.

Comparison of the $\chi_{4,22}$ and $\rho_{4,22}$ for Au+Au collisions at 39.0 GeV.

Comparison of the $\chi_{4,22}$ and $\rho_{4,22}$ for Au+Au collisions at 27.0 GeV.

Comparison of the $NSC(2,3)$ and $NSC(2,4)$ for Au+Au collisions at 54.4 GeV.

Comparison of the $NSC(2,3)$ and $NSC(2,4)$ for Au+Au collisions at 27.0 GeV.

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV (Multiplicity class 60-80%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV (Multiplicity class 0-10%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV (Multiplicity class 10-20%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV (Multiplicity class 20-30%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV (Multiplicity class 30-40%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV (Multiplicity class 40-60%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV (Multiplicity class 60-80%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV (Multiplicity class 0-10%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV (Multiplicity class 10-20%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV (Multiplicity class 20-30%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV (Multiplicity class 30-40%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV (Multiplicity class 40-60%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV (Multiplicity class 60-80%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV (Multiplicity class 0-10%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV (Multiplicity class 10-20%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV (Multiplicity class 20-30%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV (Multiplicity class 30-40%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV (Multiplicity class 40-60%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV (Multiplicity class 60-80%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV (Multiplicity class 0-10%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV (Multiplicity class 10-20%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV (Multiplicity class 20-30%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV (Multiplicity class 30-40%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV (Multiplicity class 40-60%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV (Multiplicity class 60-80%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV (Multiplicity class 0-10%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV (Multiplicity class 10-20%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV (Multiplicity class 20-30%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV (Multiplicity class 30-40%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV (Multiplicity class 40-60%).

$p_{\mathrm T}$-differential yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV (Multiplicity class 60-80%).

$p_{\mathrm T}$- integrated yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$p_{\mathrm T}$- integrated yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$p_{\mathrm T}$- integrated yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$p_{\mathrm T}$- integrated yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$p_{\mathrm T}$- integrated yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$p_{\mathrm T}$- integrated yield of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

<$p_{\mathrm T}$> of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

<$p_{\mathrm T}$> of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

<$p_{\mathrm T}$> of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

<$p_{\mathrm T}$> of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

<$p_{\mathrm T}$> of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

<$p_{\mathrm T}$> of $\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. $<(dN_{ch}/dy)^{1/3}>$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. $<(dN_{ch}/dy)^{1/3}>$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~11.5 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. $<(dN_{ch}/dy)^{1/3}>$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. $<(dN_{ch}/dy)^{1/3}>$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. $<(dN_{ch}/dy)^{1/3}>$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{\mathrm{K^{*0}} + \bar{\mathrm{K^{*0}}}}{K^{+} + K^{-}}$ vs. $<(dN_{ch}/dy)^{1/3}>$ in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV. Total systematic error is the quadrature sum of the correlated and uncorrelated systematic errors

$\frac{2\phi}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV

$\frac{2\phi}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV

$\frac{2\phi}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV

$\frac{2\phi}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV

$\frac{2\phi}{K^{+} + K^{-}}$ vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$7.7 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$11.5 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$14.5 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$19.6 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$27 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$39 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$62.4 GeV

lower limit of hadronic phase lifetime vs. < Npart > in AuAu collisions at $\sqrt{s_{\mathrm{NN}}}~=~$200 GeV

Reference multiplicity distributions obtained from Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV data (black markers), Glauber model (red histogram), and unfolding approach to separate single and pileup contributions. Vertical lines represent statistical uncertainties. Single, pileup, and single+pileup collisions are shown in solid blue markers, dashed green, and dashed pink lines, respectively. The 0–5% central events and 5–60% mid-central to peripheral events are indicated by black arrows. The ratio of the single+pileup to the measured multiplicity distribution is shown in the lower panel.

Reference multiplicity distributions obtained from Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV data (black markers), Glauber model (red histogram), and unfolding approach to separate single and pileup contributions. Vertical lines represent statistical uncertainties. Single, pileup, and single+pileup collisions are shown in solid blue markers, dashed green, and dashed pink lines, respectively. The 0–5% central events and 5–60% mid-central to peripheral events are indicated by black arrows. The ratio of the single+pileup to the measured multiplicity distribution is shown in the lower panel.

Proton cumulants as a function of reference multiplicity (black circles) from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Centrality-binned results with and without centrality bin width corrections are represented by red circles and blue squares, respectively. Vertical dashed lines indicate the centrality classes, from right to left: 0–5%, 5–10%, 10–20%. Data points in this figure are only corrected for detector efficiency but not for the pileup effect, which will be discussed in a later section.

Proton cumulants as a function of reference multiplicity (black circles) from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Centrality-binned results with and without centrality bin width corrections are represented by red circles and blue squares, respectively. Vertical dashed lines indicate the centrality classes, from right to left: 0–5%, 5–10%, 10–20%. Data points in this figure are only corrected for detector efficiency but not for the pileup effect, which will be discussed in a later section.

Proton cumulants as a function of reference multiplicity (black circles) from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Centrality-binned results with and without centrality bin width corrections are represented by red circles and blue squares, respectively. Vertical dashed lines indicate the centrality classes, from right to left: 0–5%, 5–10%, 10–20%. Data points in this figure are only corrected for detector efficiency but not for the pileup effect, which will be discussed in a later section.

Proton cumulants as a function of reference multiplicity from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Pileup corrected and uncorrected cumulants as a function of reference multiplicity are represented by black circles and blue open squares, respectively. Red circles and blue-filled squares represent the results of centrality binned data.

Proton cumulants as a function of reference multiplicity from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Pileup corrected and uncorrected cumulants as a function of reference multiplicity are represented by black circles and blue open squares, respectively. Red circles and blue-filled squares represent the results of centrality binned data.

Ratios of proton cumulants as a function of reference multiplicity from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Pileup corrected and uncorrected cumulants are represented by black circles and blue open squares, respectively. Red circles and blue-filled squares represent the results of centrality binned data.

Ratios of proton cumulants as a function of reference multiplicity from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Pileup corrected and uncorrected cumulants are represented by black circles and blue open squares, respectively. Red circles and blue-filled squares represent the results of centrality binned data.

UrQMD results of the proton cumulant ratios up to sixth order in Au+Au collisions at $\sqrt{s_{\rm NN}}$= 3 GeV. The black circles are without VF correction while blue squares and red triangles are results with VFC which used $N_{\rm part}$ distributions from UrQMD and Glauber models, respectively. The blue crosses are calculations using UrQMD events with b $\leq$ 3 fm. The above results are applied CBWC except for the one (blue crosses) using b $\leq$3 fm events.

UrQMD results of the proton cumulant ratios up to sixth order in Au+Au collisions at $\sqrt{s_{\rm NN}}$= 3 GeV. The black circles are without VF correction while blue squares and red triangles are results with VFC which used $N_{\rm part}$ distributions from UrQMD and Glauber models, respectively. The blue crosses are calculations using UrQMD events with b $\leq$ 3 fm. The above results are applied CBWC except for the one (blue crosses) using b $\leq$3 fm events.

Proton cumulants up to sixth order in $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Data without volume fluctuation correction is shown as grey open squares while data with volume fluctuation correction using $N_{\rm part}$ distributions from Glauber and UrQMD models are shown as black circles and black open triangles, respectively. The corresponding centrality binned cumulants are shown in blue squares, red circles, and orange triangles, respectively. Similarly to Fig. 6, the vertical dashed lines indicate the centrality classes.

Proton cumulants up to sixth order in $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Data without volume fluctuation correction is shown as grey open squares while data with volume fluctuation correction using $N_{\rm part}$ distributions from Glauber and UrQMD models are shown as black circles and black open triangles, respectively. The corresponding centrality binned cumulants are shown in blue squares, red circles, and orange triangles, respectively. Similarly to Fig. 6, the vertical dashed lines indicate the centrality classes.

Proton cumulant ratios up to sixth order in $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Data without volume fluctuation correction are shown as grey open squares while data with volume fluctuation correction using $N_{\rm part}$ distributions from Glauber and UrQMD models are shown as black circles and black open triangles, respectively. The corresponding centrality binned cumulants are shown in blue squares, red circles, and orange triangles, respectively. Similarly to Fig. 6, the vertical dashed lines indicate the centrality classes.

Proton cumulant ratios up to sixth order in $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Data without volume fluctuation correction are shown as grey open squares while data with volume fluctuation correction using $N_{\rm part}$ distributions from Glauber and UrQMD models are shown as black circles and black open triangles, respectively. The corresponding centrality binned cumulants are shown in blue squares, red circles, and orange triangles, respectively. Similarly to Fig. 6, the vertical dashed lines indicate the centrality classes.

UrQMD results of proton cumulant ratios up to sixth order in Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. The vertical dashed lines indicate the centrality classes.

Experimental results on centrality dependence of cumulants (left panels) and cumulant ratios (right panels) up to sixth order of the proton multiplicity distributions in Au+Au collisions at $N_{\rm part}$ = 3 GeV. The open squares are data without VF correction while red circles and blue triangles are results with VF correction with $N_{\rm part}$ distributions from Glauber and UrQMD models, respectively.

Experimental results on centrality dependence of cumulants (left panels) and cumulant ratios (right panels) up to sixth order of the proton multiplicity distributions in Au+Au collisions at $N_{\rm part}$ = 3 GeV. The open squares are data without VF correction while red circles and blue triangles are results with VF correction with $N_{\rm part}$ distributions from Glauber and UrQMD models, respectively.

Same as Fig. 14 but for correlation function (left panels) and their normalized ratios (right panels).

Same as Fig. 14 but for correlation function (left panels) and their normalized ratios (right panels).

Cumulants and cumulant ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. The transverse momentum window is $p_{\rm T}$ from $0.4<p_{\rm T}<2.0$ GeV/$c$ and the rapidity window is $−0.5<y<0$. Statistical and systematic uncertainties are represented by black and gray bars, respectively. UrQMD predictions are depicted by gold bands.

Cumulants and cumulant ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. The transverse momentum window is $p_{\rm T}$ from $0.4<p_{\rm T}<2.0$ GeV/$c$ and the rapidity window is $−0.5<y<0$. Statistical and systematic uncertainties are represented by black and gray bars, respectively. UrQMD predictions are depicted by gold bands.

Same as Fig. 16 but for correlation functions and correlation function ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV.

Same as Fig. 16 but for correlation functions and correlation function ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV.

The transverse-momentum and rapidity dependence of cumulant ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. In the left column, the $p_{\rm T}$ analysis window is $0.4<p_{\rm T}<2.0$ GeV/$c$ while the rapidity window is varied in the range $y_{\rm min}<y<0$. In the right column, the rapidit$y$ analysis window is $−0.5<y<0$ while the $p_{\rm T}$ is varied in the range $0.4<p_{\rm T}<p_{\rm T}^{\rm max}$ GeV/$c$. The most central (0–5%) and peripheral (50–60%) events are depicted by black squares and blue triangles, respectively. Statistical and systematic uncertainties are represented by black and gray bars, respectively. UrQMD simulations for the top 0–5% and 50–60% are shown by gold and blue bands, respectively.

The transverse-momentum and rapidity dependence of cumulant ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. In the left column, the $p_{\rm T}$ analysis window is $0.4<p_{\rm T}<2.0$ GeV/$c$ while the rapidity window is varied in the range $y_{\rm min}<y<0$. In the right column, the rapidit$y$ analysis window is $−0.5<y<0$ while the $p_{\rm T}$ is varied in the range $0.4<p_{\rm T}<p_{\rm T}^{\rm max}$ GeV/$c$. The most central (0–5%) and peripheral (50–60%) events are depicted by black squares and blue triangles, respectively. Statistical and systematic uncertainties are represented by black and gray bars, respectively. UrQMD simulations for the top 0–5% and 50–60% are shown by gold and blue bands, respectively.

The transverse-momentum and rapidity dependence of cumulant ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. In the left column, the $p_{\rm T}$ analysis window is $0.4<p_{\rm T}<2.0$ GeV/$c$ while the rapidity window is varied in the range $y_{\rm min}<y<0$. In the right column, the rapidit$y$ analysis window is $−0.5<y<0$ while the $p_{\rm T}$ is varied in the range $0.4<p_{\rm T}<p_{\rm T}^{\rm max}$ GeV/$c$. The most central (0–5%) and peripheral (50–60%) events are depicted by black squares and blue triangles, respectively. Statistical and systematic uncertainties are represented by black and gray bars, respectively. UrQMD simulations for the top 0–5% and 50–60% are shown by gold and blue bands, respectively.

The transverse-momentum and rapidity dependence of cumulant ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. In the left column, the $p_{\rm T}$ analysis window is $0.4<p_{\rm T}<2.0$ GeV/$c$ while the rapidity window is varied in the range $y_{\rm min}<y<0$. In the right column, the rapidit$y$ analysis window is $−0.5<y<0$ while the $p_{\rm T}$ is varied in the range $0.4<p_{\rm T}<p_{\rm T}^{\rm max}$ GeV/$c$. The most central (0–5%) and peripheral (50–60%) events are depicted by black squares and blue triangles, respectively. Statistical and systematic uncertainties are represented by black and gray bars, respectively. UrQMD simulations for the top 0–5% and 50–60% are shown by gold and blue bands, respectively.

As in Fig. 18 but for transverse-momentum and rapidity dependence of correlation function ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV.

As in Fig. 18 but for transverse-momentum and rapidity dependence of correlation function ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV.

As in Fig. 18 but for transverse-momentum and rapidity dependence of correlation function ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV.

As in Fig. 18 but for transverse-momentum and rapidity dependence of correlation function ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV.

Collision energy dependence of the cumulant ratios: $C_2/C_1=\sigma/M$, $C_3/C_2=S\sigma$, and $C_4/C_2=\kappa\sigma^2$, for protons (open squares) and net protons (red circles) from top 0–5% (top panels) and 50–60% (bottom panels) Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for protons from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions is shown as a filled square. UrQMD results with $|y|<0.5$ for protons are shown as gold bands while those for net protons are shown as green dashed lines or green bands. At 3GeV, the model results for protons (−0.5) are shown as blue crosses. UrQMD results of proton and net-proton $C_4/C_2$, see right panels, are almost totally overlapped. The open cross is the result of the model with a fixed impact parameter $b < 3$ fm. The hydrodynamic calculations, for 5% central Au+Au collisions, for protons from $|y|<0.5$ are shown as dashed red linea and the result of the 3 GeV protons from $−0.5<y<0$ is shown as an open red star.

Collision energy dependence of the cumulant ratios: $C_2/C_1=\sigma/M$, $C_3/C_2=S\sigma$, and $C_4/C_2=\kappa\sigma^2$, for protons (open squares) and net protons (red circles) from top 0–5% (top panels) and 50–60% (bottom panels) Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for protons from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions is shown as a filled square. UrQMD results with $|y|<0.5$ for protons are shown as gold bands while those for net protons are shown as green dashed lines or green bands. At 3GeV, the model results for protons (−0.5) are shown as blue crosses. UrQMD results of proton and net-proton $C_4/C_2$, see right panels, are almost totally overlapped. The open cross is the result of the model with a fixed impact parameter $b < 3$ fm. The hydrodynamic calculations, for 5% central Au+Au collisions, for protons from $|y|<0.5$ are shown as dashed red linea and the result of the 3 GeV protons from $−0.5<y<0$ is shown as an open red star.

Collision energy dependence of the cumulant ratios: $C_2/C_1=\sigma/M$, $C_3/C_2=S\sigma$, and $C_4/C_2=\kappa\sigma^2$, for protons (open squares) and net protons (red circles) from top 0–5% (top panels) and 50–60% (bottom panels) Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for protons from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions is shown as a filled square. UrQMD results with $|y|<0.5$ for protons are shown as gold bands while those for net protons are shown as green dashed lines or green bands. At 3GeV, the model results for protons (−0.5) are shown as blue crosses. UrQMD results of proton and net-proton $C_4/C_2$, see right panels, are almost totally overlapped. The open cross is the result of the model with a fixed impact parameter $b < 3$ fm. The hydrodynamic calculations, for 5% central Au+Au collisions, for protons from $|y|<0.5$ are shown as dashed red linea and the result of the 3 GeV protons from $−0.5<y<0$ is shown as an open red star.

Collision energy dependence of the cumulant ratios: $C_2/C_1=\sigma/M$, $C_3/C_2=S\sigma$, and $C_4/C_2=\kappa\sigma^2$, for protons (open squares) and net protons (red circles) from top 0–5% (top panels) and 50–60% (bottom panels) Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for protons from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions is shown as a filled square. UrQMD results with $|y|<0.5$ for protons are shown as gold bands while those for net protons are shown as green dashed lines or green bands. At 3GeV, the model results for protons (−0.5) are shown as blue crosses. UrQMD results of proton and net-proton $C_4/C_2$, see right panels, are almost totally overlapped. The open cross is the result of the model with a fixed impact parameter $b < 3$ fm. The hydrodynamic calculations, for 5% central Au+Au collisions, for protons from $|y|<0.5$ are shown as dashed red linea and the result of the 3 GeV protons from $−0.5<y<0$ is shown as an open red star.

Collision energy dependence of the cumulant ratios: $C_2/C_1=\sigma/M$, $C_3/C_2=S\sigma$, and $C_4/C_2=\kappa\sigma^2$, for protons (open squares) and net protons (red circles) from top 0–5% (top panels) and 50–60% (bottom panels) Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for protons from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions is shown as a filled square. UrQMD results with $|y|<0.5$ for protons are shown as gold bands while those for net protons are shown as green dashed lines or green bands. At 3GeV, the model results for protons (−0.5) are shown as blue crosses. UrQMD results of proton and net-proton $C_4/C_2$, see right panels, are almost totally overlapped. The open cross is the result of the model with a fixed impact parameter $b < 3$ fm. The hydrodynamic calculations, for 5% central Au+Au collisions, for protons from $|y|<0.5$ are shown as dashed red linea and the result of the 3 GeV protons from $−0.5<y<0$ is shown as an open red star.

Collision energy dependence of the cumulant ratios: $C_2/C_1=\sigma/M$, $C_3/C_2=S\sigma$, and $C_4/C_2=\kappa\sigma^2$, for protons (open squares) and net protons (red circles) from top 0–5% (top panels) and 50–60% (bottom panels) Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for protons from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions is shown as a filled square. UrQMD results with $|y|<0.5$ for protons are shown as gold bands while those for net protons are shown as green dashed lines or green bands. At 3GeV, the model results for protons (−0.5) are shown as blue crosses. UrQMD results of proton and net-proton $C_4/C_2$, see right panels, are almost totally overlapped. The open cross is the result of the model with a fixed impact parameter $b < 3$ fm. The hydrodynamic calculations, for 5% central Au+Au collisions, for protons from $|y|<0.5$ are shown as dashed red linea and the result of the 3 GeV protons from $−0.5<y<0$ is shown as an open red star.

$v_{2}(p_{T})$ for $K_{S}^{0}$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $K_{S}^{0}$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $K_{S}^{0}$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $K_{S}^{0}$ (Centrality:40-80%)

$v_{3}(p_{T})$ for $K_{S}^{0}$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\Lambda$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\Lambda$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\Lambda$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\Lambda$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\Lambda$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\Lambda$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\Lambda$ (Centrality:40-80%)

$v_{3}(p_{T})$ for $\Lambda$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\bar{\Lambda}$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\bar{\Lambda}$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\bar{\Lambda}$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\bar{\Lambda}$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\bar{\Lambda}$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\bar{\Lambda}$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\bar{\Lambda}$ (Centrality:40-80%)

$v_{3}(p_{T})$ for $\bar{\Lambda}$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\phi$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\phi$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\phi$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\phi$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\phi$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\phi$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\phi$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\Xi^{-}$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\Xi^{-}$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\Xi^{-}$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\Xi^{-}$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\Xi^{-}$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\Xi^{-}$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\Xi^{-}$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\Omega^{-}$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\Omega^{-}$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\Omega^{-}$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\Omega^{-}$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\Omega^{-}$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\Omega^{-}$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\Omega^{-}$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:0-80%)

$v_{2}$ of $\phi$ to $\bar{p}$ ratio

Difference of $v_{2}$ between particle and anti-particle

Difference of $v_{3}$ between particle and anti-particle

Inclusive jet asymmetries, $A_{UT}^{\sin(\phi_{S})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$).

Inclusive jet asymmetries, $A_{UT}^{\sin(\phi_{S})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S})}$ (vertical) and jet-$p_{T}$ (horizontal). the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Inclusive jet asymmetries, $A_{UT}^{\sin(\phi_{S})}$, as a function of particle jet-$p_{T}$ for jets that contain a charged pion with $z > 0.3$. The blue circles are for jets containing a high-$z$ $\pi^{+}$, while red squares are for jets containing a high-$z$ $\pi^{-}$.

Inclusive jet asymmetries, $A_{UT}^{\sin(\phi_{S})}$, as a function of particle jet-$p_{T}$ for jets that contain a charged pion with $z > 0.3$. The blue circles are for jets containing a high-$z$ $\pi^{+}$, while red squares are for jets containing a high-$z$ $\pi^{-}$.

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The bottom panel shows jets that scatter backward with respect to the polarized beam ($x_{F} < 0$).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The bottom panel shows jets that scatter backward with respect to the polarized beam ($x_{F} < 0$).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins-like asymmetries, $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-2\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$ separately for the 2012 and 2015 data. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$ separately for the 2012 and 2015 data. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$ separately for the 2012 and 2015 data. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$ separately for the 2012 and 2015 data. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$ separately for the 2012 and 2015 data. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$ separately for the 2012 and 2015 data. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$ separately for the 2012 and 2015 data. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$ separately for the 2012 and 2015 data. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and jet-$p_{T}$ (horizontal). The top panel shows the results for jets that scatter forward relative to the polarized beam ($x_{F} > 0$), while the bottom panel shows jets that scatter backward to the polarized beam ($x_{F} < 0$).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet $x_{T}~(= 2 p_T/\sqrt{s}$). The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet $x_{T}~(= 2 p_T/\sqrt{s}$). The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet $x_{T}~(= 2 p_T/\sqrt{s}$). The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet $x_{T}~(= 2 p_T/\sqrt{s}$). The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins. The solid points show the results from this analysis of $\sqrt{s} = 200$ GeV $pp$ collisions, while the open points show previous STAR results for $\sqrt{s} = 500$ GeV $pp$ collisions from data recorded during 2011.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of particle jet-$p_{T}$, hadron-$z$, and hadron-$j_{T}$ for charged kaons (upper panels) and protons (lower panels) inside jets. In both cases, the $p_T$ dependence is shown integrated over the full ranges of $z$ and $j_T$, while the $z$ and $j_T$ dependences are shown integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represent the systematic uncertainties.

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's longitudinal momentum fraction, $z$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$z$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different jet-$p_{T}$ bins. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

Collins asymmetries, $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$, as a function of the charged pion's momentum transverse to the jet axis, $j_{T}$, in different hadron longitudinal momentum fraction $z$ bins, integrated over detector jet-$p_T > 9.9$ GeV/$c$. The bars show the statistical uncertainties, while the size of the boxes represents the systematic uncertainties on $A_{UT}^{\sin(\phi_{S}-\phi_{H})}$ (vertical) and hadron-$j_{T}$ (horizontal).

The uncorrected SoftDrop groomed jet mass distribution for $R = 0.4$ anti-$k_{\rm{T}}$ jets with $20 < p_{\rm{T,jet}} < 25$ GeV$/c$. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The fully corrected jet mass distribution for $R = 0.4$ anti-$k_{\rm{T}}$ jets with $20 < p_{\rm{T,jet}} < 25$ GeV$/c$. Data are reported beyond the x-axis upper limit of the figure, for future reference.

The fully corrected jet mass distribution for $R = 0.4$ anti-$k_{\rm{T}}$ jets with $20 < p_{\rm{T,jet}} < 25$ GeV$/c$. Data are reported beyond the x-axis upper limit of the figure, for future reference. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The fully corrected jet mass distribution for $R = 0.4$ anti-$k_{\rm{T}}$ jets with $25 < p_{\rm{T,jet}} < 30$ GeV$/c$. Data are reported beyond the x-axis upper limit of the figure, for future reference.

The fully corrected jet mass distribution for $R = 0.4$ anti-$k_{\rm{T}}$ jets with $25 < p_{\rm{T,jet}} < 30$ GeV$/c$. Data are reported beyond the x-axis upper limit of the figure, for future reference. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The fully corrected jet mass distribution for $R = 0.4$ anti-$k_{\rm{T}}$ jets with $30 < p_{\rm{T,jet}} < 40$ GeV$/c$. Data are reported beyond the x-axis upper limit of the figure, for future reference.

The fully corrected jet mass distribution for $R = 0.4$ anti-$k_{\rm{T}}$ jets with $30 < p_{\rm{T,jet}} < 40$ GeV$/c$. Data are reported beyond the x-axis upper limit of the figure, for future reference. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The fully corrected SoftDrop groomed jet mass distribution for $R = 0.4$ anti-$k_{\rm{T}}$ jets with $20 < p_{\rm{T,jet}} < 25$ GeV$/c$. Data are reported beyond the x-axis upper limit of the figure, for future reference.

The fully corrected SoftDrop groomed jet mass distribution for $R = 0.4$ anti-$k_{\rm{T}}$ jets with $20 < p_{\rm{T,jet}} < 25$ GeV$/c$. Data are reported beyond the x-axis upper limit of the figure, for future reference. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The fully corrected SoftDrop groomed jet mass distribution for $R = 0.4$ anti-$k_{\rm{T}}$ jets with $25 < p_{\rm{T,jet}} < 30$ GeV$/c$. Data are reported beyond the x-axis upper limit of the figure, for future reference.

The fully corrected SoftDrop groomed jet mass distribution for $R = 0.4$ anti-$k_{\rm{T}}$ jets with $25 < p_{\rm{T,jet}} < 30$ GeV$/c$. Data are reported beyond the x-axis upper limit of the figure, for future reference. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The fully corrected SoftDrop groomed jet mass distribution for $R = 0.4$ anti-$k_{\rm{T}}$ jets with $30 < p_{\rm{T,jet}} < 40$ GeV$/c$. Data are reported beyond the x-axis upper limit of the figure, for future reference.

The fully corrected SoftDrop groomed jet mass distribution for $R = 0.4$ anti-$k_{\rm{T}}$ jets with $30 < p_{\rm{T,jet}} < 40$ GeV$/c$. Data are reported beyond the x-axis upper limit of the figure, for future reference. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The fully corrected jet mass distribution for $R = 0.2$ anti-$k_{\rm{T}}$ jets with $30 < p_{\rm{T,jet}} < 40$ GeV$/c$.

The fully corrected jet mass distribution for $R = 0.2$ anti-$k_{\rm{T}}$ jets with $30 < p_{\rm{T,jet}} < 40$ GeV$/c$. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The fully corrected jet mass distribution for $R = 0.4$ anti-$k_{\rm{T}}$ jets with $30 < p_{\rm{T,jet}} < 40$ GeV$/c$.

The fully corrected jet mass distribution for $R = 0.4$ anti-$k_{\rm{T}}$ jets with $30 < p_{\rm{T,jet}} < 40$ GeV$/c$. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The fully corrected jet mass distribution for $R = 0.6$ anti-$k_{\rm{T}}$ jets with $30 < p_{\rm{T,jet}} < 40$ GeV$/c$.

The fully corrected jet mass distribution for $R = 0.6$ anti-$k_{\rm{T}}$ jets with $30 < p_{\rm{T,jet}} < 40$ GeV$/c$. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The fully corrected SoftDrop groomed jet mass distribution for $R = 0.2$ anti-$k_{\rm{T}}$ jets with $30 < p_{\rm{T,jet}} < 40$ GeV$/c$.

The fully corrected SoftDrop groomed jet mass distribution for $R = 0.2$ anti-$k_{\rm{T}}$ jets with $30 < p_{\rm{T,jet}} < 40$ GeV$/c$. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The fully corrected SoftDrop groomed jet mass distribution for $R = 0.4$ anti-$k_{\rm{T}}$ jets with $30 < p_{\rm{T,jet}} < 40$ GeV$/c$.

The fully corrected SoftDrop groomed jet mass distribution for $R = 0.4$ anti-$k_{\rm{T}}$ jets with $30 < p_{\rm{T,jet}} < 40$ GeV$/c$. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The fully corrected SoftDrop groomed jet mass distribution for $R = 0.6$ anti-$k_{\rm{T}}$ jets with $30 < p_{\rm{T,jet}} < 40$ GeV$/c$.

The fully corrected SoftDrop groomed jet mass distribution for $R = 0.6$ anti-$k_{\rm{T}}$ jets with $30 < p_{\rm{T,jet}} < 40$ GeV$/c$. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The mean of the fully corrected jet mass distribution for $R=0.2$ anti-$k_{\rm{T}}$ jets as a function of $p_{\rm{T,jet}}$.

The mean of the fully corrected jet mass distribution for $R=0.2$ anti-$k_{\rm{T}}$ jets as a function of $p_{\rm{T,jet}}$. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The mean of the fully corrected jet mass distribution for $R=0.4$ anti-$k_{\rm{T}}$ jets as a function of $p_{\rm{T,jet}}$.

The mean of the fully corrected jet mass distribution for $R=0.4$ anti-$k_{\rm{T}}$ jets as a function of $p_{\rm{T,jet}}$. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The mean of the fully corrected jet mass distribution for $R=0.6$ anti-$k_{\rm{T}}$ jets as a function of $p_{\rm{T,jet}}$.

The mean of the fully corrected jet mass distribution for $R=0.6$ anti-$k_{\rm{T}}$ jets as a function of $p_{\rm{T,jet}}$. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The mean of the fully corrected SoftDrop groomed jet mass distribution for $R=0.2$ anti-$k_{\rm{T}}$ jets as a function of $p_{\rm{T,jet}}$.

The mean of the fully corrected SoftDrop groomed jet mass distribution for $R=0.2$ anti-$k_{\rm{T}}$ jets as a function of $p_{\rm{T,jet}}$. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The mean of the fully corrected SoftDrop groomed jet mass distribution for $R=0.4$ anti-$k_{\rm{T}}$ jets as a function of $p_{\rm{T,jet}}$.

The mean of the fully corrected SoftDrop groomed jet mass distribution for $R=0.4$ anti-$k_{\rm{T}}$ jets as a function of $p_{\rm{T,jet}}$. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The mean of the fully corrected SoftDrop groomed jet mass distribution for $R=0.6$ anti-$k_{\rm{T}}$ jets as a function of $p_{\rm{T,jet}}$.

The mean of the fully corrected SoftDrop groomed jet mass distribution for $R=0.6$ anti-$k_{\rm{T}}$ jets as a function of $p_{\rm{T,jet}}$. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The fully corrected jet mass distribution for $R = 0.6$ anti-$k_{\rm{T}}$ jets with $20 < p_{\rm{T,jet}} < 25$ GeV$/c$. Data are reported beyond the x-axis upper limit of the figure, for future reference.

The fully corrected jet mass distribution for $R = 0.6$ anti-$k_{\rm{T}}$ jets with $20 < p_{\rm{T,jet}} < 25$ GeV$/c$. Data are reported beyond the x-axis upper limit of the figure, for future reference. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

The fully corrected SoftDrop groomed jet mass distribution for $R = 0.6$ anti-$k_{\rm{T}}$ jets with $20 < p_{\rm{T,jet}} < 25$ GeV$/c$. Data are reported beyond the x-axis upper limit of the figure, for future reference.

The fully corrected SoftDrop groomed jet mass distribution for $R = 0.6$ anti-$k_{\rm{T}}$ jets with $20 < p_{\rm{T,jet}} < 25$ GeV$/c$. Data are reported beyond the x-axis upper limit of the figure, for future reference. Updated to correct a small bug that had shifted the jet mass to slightly smaller values.

Two-dimensional correlations of charged-hadrons, all-CI, projected onto (y_t1, y_t2), in centrality bin 55-64%.

Two-dimensional correlations of charged-hadrons, all-CI, projected onto (y_t1, y_t2), in centrality bin 46-55%.

Two-dimensional correlations of charged-hadrons, all-CI, projected onto (y_t1, y_t2), in centrality bin 38-46%.

Two-dimensional correlations of charged-hadrons, all-CI, projected onto (y_t1, y_t2), in centrality bin 28-38%.

Two-dimensional correlations of charged-hadrons, all-CI, projected onto (y_t1, y_t2), in centrality bin 18-28%.

Two-dimensional correlations of charged-hadrons, all-CI, projected onto (y_t1, y_t2), in centrality bin 9-18%.

Two-dimensional correlations of charged-hadrons, all-CI, projected onto (y_t1, y_t2), in centrality bin 5-9%.

Two-dimensional correlations of charged-hadrons, all-CI, projected onto (y_t1, y_t2), in centrality bin 0-5%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 84-93%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 74-84%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 64-74%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 55-64%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 46-55%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 38-46%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 28-38%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 18-28%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 9-18%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 5-9%.

Two-dimensional correlations of charged-hadrons, all-CD, projected onto (y_t1, y_t2), in centrality bin 0-5%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 84-93%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 74-84%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 64-74%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 55-64%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 46-55%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 38-46%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 28-38%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 18-28%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 9-18%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 5-9%.

Two-dimensional correlations of charged-hadrons, all-LS, projected onto (y_t1, y_t2), in centrality bin 0-5%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 84-93%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 74-84%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 64-74%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 55-64%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 46-55%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 38-46%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 28-38%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 18-28%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 9-18%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 5-9%.

Two-dimensional correlations of charged-hadrons, all-US, projected onto (y_t1, y_t2), in centrality bin 0-5%.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 84-93%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 74-84%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 64-74%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 55-64%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 46-55%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 38-46%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 28-38%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 18-28%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 9-18%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 5-9%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-LS, projected onto (y_t1, y_t2), in centrality bin 0-5%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 84-93%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 74-84%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 64-74%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 55-64%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 46-55%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 38-46%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 28-38%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 18-28%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 9-18%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 5-9%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-US, projected onto (y_t1, y_t2), in centrality bin 0-5%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 84-93%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 74-84%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 64-74%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 55-64%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 46-55%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 38-46%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 28-38%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 18-28%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 9-18%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 5-9%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-LS, projected onto (y_t1, y_t2), in centrality bin 0-5%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 84-93%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 74-84%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 64-74%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 55-64%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 46-55%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 38-46%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 28-38%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 18-28%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 9-18%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 5-9%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-US, projected onto (y_t1, y_t2), in centrality bin 0-5%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 84-93%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 74-84%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 64-74%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 55-64%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 46-55%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 38-46%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 28-38%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 18-28%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 9-18%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 5-9%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CI, projected onto (y_t1, y_t2), in centrality bin 0-5%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 84-93%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 74-84%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 64-74%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 55-64%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 46-55%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 38-46%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 28-38%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 18-28%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 9-18%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 5-9%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CI, projected onto (y_t1, y_t2), in centrality bin 0-5%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 84-93%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 74-84%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 64-74%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 55-64%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 46-55%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 38-46%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 28-38%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 18-28%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 9-18%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 5-9%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, NS-CD, projected onto (y_t1, y_t2), in centrality bin 0-5%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 84-93%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 74-84%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 64-74%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 55-64%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 46-55%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 38-46%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 28-38%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 18-28%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 9-18%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 5-9%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Two-dimensional correlations of charged-hadrons, AS-CD, projected onto (y_t1, y_t2), in centrality bin 0-5%. Only centrality bins 74-84%, 46 - 55%, 18-28%, and 0-5% shown in paper.

Fit results for the amplitudes of the measured and predicted correlation peak near (yT 1, yT 2) ≈ (3,3) as a function of centrality

Fit results for the yTSigma_0 of the measured and predicted correlation peak near (yT 1, yT 2) ≈ (3,3) as a function of centrality

Fit results for the amplitudes of the measured and predicted correlation peak near (yT 1, yT 2) ≈ (3,1) as a function of centrality

Fit results for the yT_1 of the measured and predicted correlation peak near (yT 1, yT 2) ≈ (3,1) as a function of centrality

Fit results for the yT_2 of the measured and predicted correlation peak near (yT 1, yT 2) ≈ (3,1) as a function of centrality

The transverse momentum dependence of elliptic, triangular and quadrangular flow of particles, antiparticles and their difference for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic, triangular and quadrangular flow of particles, antiparticles and their difference for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic, triangular and quadrangular flow of particles, antiparticles and their difference for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of triangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic, triangular and quadrangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of elliptic, triangular and quadrangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of quadrangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of quadrangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of quadrangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of quadrangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of quadrangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of quadrangular flow of particles, antiparticles for 0-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} \pi^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{2} \pi^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{2} \pi^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{2} \pi^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{2} \pi^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} \pi^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} k^{+}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} k^{+}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} p^{+}$, for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} p^{+}$, for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} \pi^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{3} \pi^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{3} \pi^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{3} \pi^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{3} \pi^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} \pi^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} k^{+}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} k^{+}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} p^{+}$, for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} p^{+}$, for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} \pi^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{4} \pi^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{4} \pi^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{4} \pi^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{4} \pi^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} \pi^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} K^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{4} K^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{4} K^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{4} K^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{4} K^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} K^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} p^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{4} p^{+}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{4} p^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{4} p^{+}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{4} p^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} p^{+}$, for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} \pi^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} \pi^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} k^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} k^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} p^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{2} p^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} \pi^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} \pi^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3}ki^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3}ki^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} p^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{3} p^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} \pi^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} \pi^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} p^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} p^{-}$ for 0-10, 10-40 and 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} k^{-}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{4} k^{-}$ for 0-10 central Au+Au collisions.

The transverse momentum dependence of $v_{4} k^{-}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{4} k^{-}$ for 10-40 central Au+Au collisions.

The transverse momentum dependence of $v_{4} k^{-}$ for 40-80 central Au+Au collisions.

The transverse momentum dependence of $v_{4} k^{-}$ for 40-80 central Au+Au collisions.

The centrality dependence of $v_{2} (\pi, K, p) $ for Au+Au collisions.

The centrality dependence of $v_{2} (\pi, K, p) $ for Au+Au collisions.

The centrality dependence of $v_{3} (\pi, K, p) $ for Au+Au collisions.

The centrality dependence of $v_{3} (\pi, K, p) $ for Au+Au collisions.

Two-dimensional $\rho^0$ momentum distribution from U+U collisions.

The $P_T^2 \approx |t|$ distribution of $\rho^0$ collected from Au+Au collisions.

The $P_T^2 \approx |t|$ distribution of $\rho^0$ collected from U+U collisions.

The $P_T^2 \approx |t|$ distribution of $\rho^0$ with $|\phi| < \pi/24$ collected from Au+Au collisions.

The $P_T^2 \approx |t|$ distribution of $\rho^0$ with $|\phi - \pi/2| < \pi/24$ collected from Au+Au collisions.

The $\phi$ distribution for $\pi^+\pi^-$ pairs with a pair transverse momentum less than 60 MeV and and an invariant mass between 650 and 900 MeV

The $\phi$ distribution for $\pi^+\pi^-$ pairs with a pair transverse momentum less than 60 MeV and and an invariant mass between 650 and 900 MeV

The $2 \langle \cos{2 \phi} \rangle$ distribution vs. pair transverse momentum for $\pi^+\pi^-$ pairs with an invariant mass between 650 and 900 MeV.

The $2 \langle \cos{2\phi} \rangle$ distribution vs. pair transverse momentum for $\pi^+\pi^-$ pairs with an invariant mass between 650 and 900 MeV.

The $2 \langle \cos{2\phi} \rangle$ distribution vs. pair transverse momentum for $\pi^+\pi^-$ pairs with an invariant mass between 650 and 900 MeV from Au+Au collisions.

The distribution of extracted radii R vs. $\phi$ from Au+Au and U+U.

$v_{2}$ as a function of $p_{T}(GeV/c)$ for various systems for $<Nch>=21\pm3$

$v_{3}$ as a function of $p_{T}(GeV/c)$ for various systems for $<Nch>=21\pm3$

$v_{2}/\epsilon_{2}$ as a function of $p_{T}(GeV/c)$ for various systems for $<Nch>=21\pm3$

$v_{1}^{fluc}$ as a function of $p_{T}(GeV/c)$ for various systems for $<Nch>=70$

$v_{2}$ as a function of $p_{T}(GeV/c)$ for various systems for $<Nch>=70$

$v_{3}$ as a function of $p_{T}(GeV/c)$ for various systems for $<Nch>=70$

$v_{2}/\epsilon_{2}$ as a function of $p_{T}(GeV/c)$ for various systems for $<Nch>=70$

$v_{1}^{fluc}$ as a function of $p_{T}(GeV/c)$ for various systems for $<Nch>=140$

$v_{2}$ as a function of $p_{T}(GeV/c)$ for various systems for $<Nch>=140$

$v_{3}$ as a function of $p_{T}(GeV/c)$ for various systems for $<Nch>=140$

$v_{2}/\epsilon_{2}$ as a function of $p_{T}(GeV/c)$ for various systems for $<Nch>=140$

$<Nch>$ dependence of $|v_{1}^{fluc}|$, $v_{2}$, $v_{3}$ and $K$ for Au+Au collisions at $\sqrt{s_{NN}}=$ 200 GeV

$<Nch>$ dependence of $|v_{1}^{fluc}|$, $v_{2}$, $v_{3}$ and $K$ for U+U collisions at $\sqrt{s_{NN}}=$ 193 GeV

$<Nch>$ dependence of $|v_{1}^{fluc}|$, $v_{2}$, $v_{3}$ and $K$ for Cu+Au collisions at $\sqrt{s_{NN}}=$ 200 GeV

$<Nch>$ dependence of $|v_{1}^{fluc}|$, $v_{2}$, $v_{3}$ and $K$ for Cu+Cu collisions at $\sqrt{s_{NN}}=$ 200 GeV

$<Nch>$ dependence of $|v_{1}^{fluc}|$, $v_{2}$, $v_{3}$ and $K$ for d+Au and p+Au collisions at $\sqrt{s_{NN}}=$ 200 GeV

$<Nch>$ dependence of elliptic flow scaled with eccentricity ($v_{2}/\epsilon_{2}$) for Au+Au collisions at $\sqrt{s_{NN}}=$ 200 GeV

$<Nch>$ dependence of elliptic flow scaled with eccentricity ($v_{2}/\epsilon_{2}$) for U+U collisions at $\sqrt{s_{NN}}=$ 193 GeV

$<Nch>$ dependence of elliptic flow scaled with eccentricity ($v_{2}/\epsilon_{2}$) for Cu+Au collisions at $\sqrt{s_{NN}}=$ 200 GeV

$<Nch>$ dependence of elliptic flow scaled with eccentricity ($v_{2}/\epsilon_{2}$) for Cu+Cu collisions at $\sqrt{s_{NN}}=$ 200 GeV

$<Nch>$ dependence of elliptic flow scaled with eccentricity ($v_{2}/\epsilon_{2}$) for d+Au and p+Au collisions at $\sqrt{s_{NN}}=$ 200 GeV

Ratios of the slopes extracted for each system relative to the slope extracted from a fit to the combined data sets

Data/simulation comparisons of the relative jet yields as functions of jet transverse momentum for the endcap

Data/simulation comparisons of the jet yields vs jet neutral energy fraction (NEF), shown separately for jets in different pseudorapidity ranges. The points represent the data (solid circle for barrel, open square and open cross for endcap jets at two different pseudorapidity ranges), and the histogram is the simulation.

Data/simulation comparisons of dijet yields as a function of invariant mass (left) for all the accepted events.

Data/simulation comparisons of dijet yields as a function of the pseudorapidity gap between the jets.

Data/simulation comparisons of dijet yields as a function of azimuthal opening angle between the jets.

Data/simulation comparisons of the underlying event $\delta M$ vs underlying event corrected dijet invariant mass.

The dijet $p_{T}$ imbalance distribution.

The jet invariant mass distribution.

The distributions of the parton $x_1$ and $x_2$, which has been weighted by the partonic $\hat{a}_{LL}$, from PYTHIA detector level simulations at $\sqrt{s}$ = 200 GeV for different jet pseudorapidity ranges.

The distributions of the parton $x_1$ and $x_2$, which has been weighted by the partonic $\hat{a}_{LL}$, from PYTHIA detector level simulations at $\sqrt{s}$ = 200 GeV for different jet pseudorapidity ranges.

The distributions of the parton $x_1$ and $x_2$, which has been weighted by the partonic $\hat{a}_{LL}$, from PYTHIA detector level simulations at $\sqrt{s}$ = 200 GeV for different jet pseudorapidity ranges.

$A_{LL}$ as a function of parton-level invariant mass for dijets with the East barrel-endcap.

$A_{LL}$ as a function of parton-level invariant mass for dijets with the West barrel-endcap.

$A_{LL}$ as a function of parton-level invariant mass for dijets with the endcap-endcap.

B.R. times dN/dy of $^{3}_{\Lambda}$H vs y in 3 GeV 10-50% Au+Au collisions

B.R. times dN/dy of $^{4}_{\Lambda}$H vs y in 3 GeV 10-50% Au+Au collisions

B.R. times dN/dy at |y|<0.5 of $^{3}_{\Lambda}$H vs B.R in 3 GeV 0-10% Au+Au collisions

B.R. times dN/dy at |y|<0.5 of $^{4}_{\Lambda}$H vs B.R in 3 GeV 0-10% Au+Au collisions

$^{3}_{\Lambda}$H $p_T$ spectra times B.R., -0.25<y<0, Au+Au 3 GeV, 0-10%

$^{3}_{\Lambda}$H $p_T$ spectra times B.R., -0.5<y<-0.25, Au+Au 3 GeV, 0-10%

$^{3}_{\Lambda}$H $p_T$ spectra times B.R., -0.25<y<0, Au+Au 3 GeV, 10-50%

$^{3}_{\Lambda}$H $p_T$ spectra times B.R., -0.5<y<-0.25, Au+Au 3 GeV, 10-50%

$^{4}_{\Lambda}$H $p_T$ spectra times B.R., -0.25<y<0, Au+Au 3 GeV, 0-10%

$^{4}_{\Lambda}$H $p_T$ spectra times B.R., -0.5<y<-0.25, Au+Au 3 GeV, 0-10%

$^{4}_{\Lambda}$H $p_T$ spectra times B.R., -0.75<y<-0.5, Au+Au 3 GeV, 0-10%

$^{4}_{\Lambda}$H $p_T$ spectra times B.R., -0.25<y<0, Au+Au 3 GeV, 10-50%

$^{4}_{\Lambda}$H $p_T$ spectra times B.R., -0.5<y<-0.25, Au+Au 3 GeV, 10-50%

$^{4}_{\Lambda}$H $p_T$ spectra times B.R., -0.75<y<-0.5, Au+Au 3 GeV, 10-50%

Directed flow $v_1$ as a function of rapidity $y$ for $K^{+}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, and 39 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $p$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{+}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $p$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{+}$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{p}$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{-}$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{p}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, and 39 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{-}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{p}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{-}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{p}$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{-}$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\pi^{+}$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K_0^s$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\pi^{+}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, and 39 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K_0^s$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\pi^{+}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K_0^s$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\pi^{+}$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K_0^s$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\pi^{-}$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\Lambda$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\pi^{-}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, and 39 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\Lambda$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\pi^{-}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\Lambda$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\pi^{-}$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\Lambda$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{+}$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{\Lambda}$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{+}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, and 39 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{\Lambda}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{+}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{\Lambda}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{+}$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{\Lambda}$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{-}$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{-}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 11.5, 14.5, 19.6, 27, 39 and 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{-}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{-}$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K_0^s$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 11.5, 14.5, 19.6, 27, 39 and 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K_0^s$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K_0^s$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K_0^s$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 11.5, 14.5, 19.6, 27, 39 and 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\Lambda$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\Lambda$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, and 200 GeV.

Directed flow slope $dv_1/dy$ as a function of beam energy in 10%–40% central Au+Au collisions.

Directed flow $v_1$ as a function of rapidity $y$ for $\Lambda$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 GeV.

Directed flow slope $dv_1/dy$ as a function of beam energy in 10%–40% central Au+Au collisions.

Directed flow $v_1$ as a function of rapidity $y$ for $\Lambda$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow slope $dv_1/dy$ as a function of beam energy in 10%–40% central Au+Au collisions.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{\Lambda}$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow slope $dv_1/dy$ as a function of beam energy in 10%–40% central Au+Au collisions.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{\Lambda}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{\Lambda}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{\Lambda}$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 11.5, 14.5, 19.6, 27, 39 and 62.4 GeV.