$z_{g}$ for Matched Trigger jets in pp$+$AuAu Data anti-kT R$=$0.4

$z_{g}$ for HardCore Recoil jets in AuAu Data anti-kT R$=$0.4

$z_{g}$ for HardCore Recoil jets in pp$+$AuAu Data anti-kT R$=$0.4

$z_{g}$ for Matched Recoil jets in AuAu Data anti-kT R$=$0.4

$z_{g}$ for Matched Recoil jets in pp$+$AuAu Data anti-kT R$=$0.4

$R_{g}$ for HardCore Trigger jets in AuAu Data anti-kT R$=$0.4

$R_{g}$ for HardCore Trigger jets in pp$+$AuAu Data anti-kT R$=$0.4

$R_{g}$ for Matched Trigger jets in AuAu Data anti-kT R$=$0.4

$R_{g}$ for Matched Trigger jets in pp$+$AuAu Data anti-kT R$=$0.4

$R_{g}$ for HardCore Recoil jets in AuAu Data anti-kT R$=$0.4

$R_{g}$ for HardCore Recoil jets in pp$+$AuAu Data anti-kT R$=$0.4

$R_{g}$ for Matched Recoil jets in AuAu Data anti-kT R$=$0.4

$R_{g}$ for Matched Recoil jets in pp$+$AuAu Data anti-kT R$=$0.4

Fully corrected two subjet $z_{sj}$ for $15 < p_{\rm{T, jet}} < 20$ GeV/c, R$=$0.4 anti-kT and R$=$0.1 subjets

Fully corrected two subjet $z_{sj}$ for $20 < p_{\rm{T, jet}} < 25$ GeV/c, R$=$0.4 anti-kT and R$=$0.1 subjets

Fully corrected two subjet $z_{sj}$ for $25 < p_{\rm{T, jet}} < 30$ GeV/c, R$=$0.4 anti-kT and R$=$0.1 subjets

Fully corrected two subjet $z_{sj}$ for $30 < p_{\rm{T, jet}} < 40$ GeV/c, R$=$0.4 anti-kT and R$=$0.1 subjets

Fully corrected two subjet $\theta_{sj}$ for $15 < p_{\rm{T, jet}} < 20$ GeV/c, R$=$0.4 anti-kT and R$=$0.1 subjets

Fully corrected two subjet $\theta_{sj}$ for $20 < p_{\rm{T, jet}} < 25$ GeV/c, R$=$0.4 anti-kT and R$=$0.1 subjets

Fully corrected two subjet $\theta_{sj}$ for $25 < p_{\rm{T, jet}} < 30$ GeV/c, R$=$0.4 anti-kT and R$=$0.1 subjets

Fully corrected two subjet $\theta_{sj}$ for $30 < p_{\rm{T, jet}} < 40$ GeV/c, R$=$0.4 anti-kT and R$=$0.1 subjets

$z_{sj}$ for HardCore Trigger jets in AuAu Data anti-kT R$=$0.4

$z_{sj}$ for HardCore Trigger jets in pp$+$AuAu Data anti-kT R$=$0.4

$z_{sj}$ for Matched Trigger jets in AuAu Data anti-kT R$=$0.4

$z_{sj}$ for Matched Trigger jets in pp$+$AuAu Data anti-kT R$=$0.4

$z_{sj}$ for HardCore Recoil jets in AuAu Data anti-kT R$=$0.4

$z_{sj}$ for HardCore Recoil jets in pp$+$AuAu Data anti-kT R$=$0.4

$z_{sj}$ for Matched Recoil jets in AuAu Data anti-kT R$=$0.4

$z_{sj}$ for Matched Recoil jets in pp$+$AuAu Data anti-kT R$=$0.4

$\theta_{sj}$ for HardCore Trigger jets in AuAu Data anti-kT R$=$0.4

$\theta_{sj}$ for HardCore Trigger jets in pp$+$AuAu Data anti-kT R$=$0.4

$\theta_{sj}$ for Matched Trigger jets in AuAu Data anti-kT R$=$0.4

$\theta_{sj}$ for Matched Trigger jets in pp$+$AuAu Data anti-kT R$=$0.4

$\theta_{sj}$ for HardCore Recoil jets in AuAu Data anti-kT R$=$0.4

$\theta_{sj}$ for HardCore Recoil jets in pp$+$AuAu Data anti-kT R$=$0.4

$\theta_{sj}$ for Matched Recoil jets in AuAu Data anti-kT R$=$0.4

$\theta_{sj}$ for Matched Recoil jets in pp$+$AuAu Data anti-kT R$=$0.4

$A_{J}$ for HardCore R=0.4 anti-kT jets with $\theta_{sj} > 0.1$ in Au$+$Au collisions

$A_{J}$ for HardCore R=0.4 anti-kT jets with $\theta_{sj} > 0.1$ in pp$+$AuAu reference

$A_{J}$ for HardCore R=0.4 anti-kT jets with $0.1 < \theta_{sj} < 0.2$ in Au$+$Au collisions

$A_{J}$ for HardCore R=0.4 anti-kT jets with $0.1 < \theta_{sj} < 0.2$ in pp$+$AuAu reference

$A_{J}$ for HardCore R=0.4 anti-kT jets with $0.2 < \theta_{sj} < 0.3$ in Au$+$Au collisions

$A_{J}$ for HardCore R=0.4 anti-kT jets with $0.2 < \theta_{sj} < 0.3$ in pp$+$AuAu reference

$A_{J}$ for Matched R=0.4 anti-kT jets with $\theta_{sj} > 0.1$ in Au$+$Au collisions

$A_{J}$ for Matched R=0.4 anti-kT jets with $\theta_{sj} > 0.1$ in pp$+$AuAu reference

$A_{J}$ for Matched R=0.4 anti-kT jets with $0.1 < \theta_{sj} < 0.2$ in Au$+$Au collisions

$A_{J}$ for Matched R=0.4 anti-kT jets with $0.1 < \theta_{sj} < 0.2$ in pp$+$AuAu reference

$A_{J}$ for Matched R=0.4 anti-kT jets with $0.2 < \theta_{sj} < 0.3$ in Au$+$Au collisions

$A_{J}$ for Matched R=0.4 anti-kT jets with $0.2 < \theta_{sj} < 0.3$ in pp$+$AuAu reference

tracking efficiency in pp collisions as a function of track momentum

tracking efficiency in AuAu collisions as a function of track momentum

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

'Identified transverse momentum spectra of $\pi^{-}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV'

'Identified transverse momentum spectra of $K^{-}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV'

'Identified transverse momentum spectra of $\bar{p}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV'

'Average transverse momentum as a function of $\langle$N$_{part}$$\rangle$ for $\pi^{+}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'Average transverse momentum as a function of $\langle$N$_{part}$$\rangle$ for $K^{+}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'Average transverse momentum as a function of $\langle$N$_{part}$$\rangle$ for p at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'dN/dy scaled by 0.5 × $\langle$N$_{part}$$\rangle$ as a function of $\langle$N$_{part}$$\rangle$ for $\pi^{+}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'dN/dy scaled by 0.5 × $\langle$N$_{part}$$\rangle$ as a function of $\langle$N$_{part}$$\rangle$ for $K^{+}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'dN/dy scaled by 0.5 × $\langle$N$_{part}$$\rangle$ as a function of $\langle$N$_{part}$$\rangle$ for p at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'dN/dy scaled by 0.5 × $\langle$N$_{part}$$\rangle$ as a function of $\langle$N$_{part}$$\rangle$ for $\bar{p}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'$\pi^{−}$/$\pi^{+}$ ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'$K^{−}$/$K^{+}$ ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'$\bar{p}$/p ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'$K^{+}$/$\pi^{+}$ ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'$K^{-}$/$\pi^{-}$ ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'p/$\pi^{+}$ ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'$\bar{p}$/$\pi^{-}$ ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

Example of combinatorial background subtracted invariant mass distributions and the extracted yields as a function of $\cos \theta^*$ for $\phi$ and $K^{*0}$ mesons. \textbf{a)} example of $\phi \rightarrow K^+ + K^-$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{b)} example of $K^{*0} (\overline{K^{*0}}) \rightarrow K^{-} \pi^{+} (K^{+} \pi^{-})$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{c)} extracted yields of $\phi$ as a function of $\cos \theta^*$; \textbf{d)} extracted yields of $K^{*0}$ as a function of $\cos \theta^*$.

Example of combinatorial background subtracted invariant mass distributions and the extracted yields as a function of $\cos \theta^*$ for $\phi$ and $K^{*0}$ mesons. \textbf{a)} example of $\phi \rightarrow K^+ + K^-$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{b)} example of $K^{*0} (\overline{K^{*0}}) \rightarrow K^{-} \pi^{+} (K^{+} \pi^{-})$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{c)} extracted yields of $\phi$ as a function of $\cos \theta^*$; \textbf{d)} extracted yields of $K^{*0}$ as a function of $\cos \theta^*$.

Example of combinatorial background subtracted invariant mass distributions and the extracted yields as a function of $\cos \theta^*$ for $\phi$ and $K^{*0}$ mesons. \textbf{a)} example of $\phi \rightarrow K^+ + K^-$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{b)} example of $K^{*0} (\overline{K^{*0}}) \rightarrow K^{-} \pi^{+} (K^{+} \pi^{-})$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{c)} extracted yields of $\phi$ as a function of $\cos \theta^*$; \textbf{d)} extracted yields of $K^{*0}$ as a function of $\cos \theta^*$.

Efficiency corrected $\phi$-meson yields as a function of cos$\theta$* and corresponding fits with Eq.1 in the method section.

Efficiency and acceptance corrected $K^{*0}$-meson yields as a function of cos$\theta$* and corresponding fits with Eq.4 in the method section.

$\phi$-meson $\rho_{00}$ obtained from 1st- and 2nd-order event planes. The red stars (gray squares) show the $\phi$-meson $\rho_{00}$ as a function of beam energy, obtained with the 2nd-order (1st-order) EP.

$\phi$-meson $\rho_{00}$ with respect to different quantization axes. $\phi$-meson $\rho_{00}$ as a function of beam energy, for the out-of-plane direction (stars) and the in-plane direction (diamonds). Curves are fits based on theoretical calculations with a $\phi$-meson field. The corresponding $G_s^{(y)}$ values obtained from the fits are shown in the legend.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

Global spin alignment measurement of $\phi$ and $K^{*0}$ vector mesons in Au+Au collisions at 0-20\% centrality. The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for $K^{*0}$-meson, obtained with the 2nd-order EP.

Global spin alignment measurement of $\phi$ and $K^{*0}$ vector mesons in Au+Au collisions at 0-20\% centrality. The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for $K^{*0}$-meson, obtained with the 2nd-order EP.

The extrapolated ($\tau > 30$ ps) average charged-particle muliplicity per unit of rapidity for ETARAP=0 as a function of the centre-of-mass energy.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 13000 GeV as a function of pseudorapidity for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 13000 GeV as a function of pseudorapidity for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 13000 GeV as a function of transverse momentum for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 13000 GeV as a function of transverse momentum for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicity distribution in proton-proton collisions at a centre-of mass energy of 13000 GeV for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicity distribution in proton-proton collisions at a centre-of mass energy of 13000 GeV for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Average transverse momentum in proton-proton collisions at a centre-of mass energy of 13000 GeV as a function of the number of charged particles in the event for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Average transverse momentum in proton-proton collisions at a centre-of mass energy of 13000 GeV as a function of the number of charged particles in the event for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Extrapolated ($\tau > 30$ ps) charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 13000 GeV as a function of pseudorapidity for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Extrapolated ($\tau > 30$ ps) charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 13000 GeV as a function of pseudorapidity for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Extrapolated ($\tau > 30$ ps) charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 13000 GeV as a function of transverse momentum for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Extrapolated ($\tau > 30$ ps) charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 13000 GeV as a function of transverse momentum for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Extrapolated ($\tau > 30$ ps) charged-particle multiplicity distributions in proton-proton collisions at a centre-of mass energy of 13000 GeV for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Extrapolated ($\tau > 30$ ps) charged-particle multiplicity distributions in proton-proton collisions at a centre-of mass energy of 13000 GeV for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Extrapolated ($\tau > 30$ ps) average transverse momentum in proton-proton collisions at a centre-of mass energy of 13000 GeV as a function of the number of charged particles in the event for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Extrapolated ($\tau > 30$ ps) average transverse momentum in proton-proton collisions at a centre-of mass energy of 13000 GeV as a function of the number of charged particles in the event for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

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).

$m_{\rm inv}$ dependences of $\Delta\gamma$ in 20-50$\%$ Au+Au collisions at 200 GeV.

The $\pi$ pair $\Delta\gamma$ at $m_{\rm inv} > m_{\rm inv}^{\rm low}$ for the data identified by TPC and more extended $p_T$ range identified by TPC and TOF.

The elliptic flow $v_2$ in bins of $q_2$ for the three centrality bins in the 20-50$\%$ range of Au+Au collisions at 200 GeV.

$m_{\rm inv}$ dependences of the $\Delta\gamma$ from ESE-selected event samples A (50$\%$ largest $q_{2}$) and B (50$\%$ smallest $q_{2}$) in 20-50$\%$ Au+Au collisions at 200 GeV.

$m_{\rm inv}$ dependences of the $\rm \Delta\gamma_{A} - \Delta\gamma_{B}$ in 20-50$\%$ Au+Au collisions at 200 GeV.

$\Delta\gamma_{\rm A}$ versus $\Delta\gamma_{\rm B}$ in 20-50$\%$ Au+Au collisions at 200 GeV. (The data are arranged as function of mass)

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 $\rho^0$ 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.