'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 centrality dependencies of the $\Delta\gamma\{\psi_\mathrm{ZDC}\}$ for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the A for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the a for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the A/a using full-event method for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the A/a using sub-event method for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the $f_\mathrm{CME}$ using full-event method for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the $f_\mathrm{CME}$ using sub-event method for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the $\Delta\gamma_\mathrm{CME}$ using full-event method for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the $\Delta\gamma_\mathrm{CME}$ using sub-event method for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The $f_\mathrm{CME}$ from different methods for 20-50% centrality Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The $f_\mathrm{CME}$ from different methods for 50-80% centrality Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The $\Delta\gamma_\mathrm{CME}$ from different methods for 20-50% centrality Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The $\Delta\gamma_\mathrm{CME}$ from different methods for 50-80% centrality Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

fig2_left_top_isobarpaper_star_blue_case2_ruru_nonzeros.

fig2_left_top_isobarpaper_star_grey_data_ruru_nonzeros.

fig2_left_top_isobarpaper_star_red_case3_ruru_nonzeros.

fig2_right_isobarpaper_star_grey_data_nonzero.

fig2_right_low_isobarpaper_star_red_case3_nonzero.

fig2_right_top_isobarpaper_star_blue_case2_nonzero.

fig3_olow_isobarpaper_star_blue_mean_multiplicity_ratio.

fig3_otop_isobarpaper_star_blue_open_mean_multiplicity_zrzr.

fig3_otop_isobarpaper_star_blue_solid_mean_multiplicity_ruru.

fig4_left_low_isobarpaper_star_blue_v2_tpc_ratio. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig4_left_low_isobarpaper_star_green_v2_tpc_eta_gt1_ratio.

fig4_left_low_isobarpaper_star_purple_v2_subEv_ratio.

fig4_left_low_isobarpaper_star_red_v2_epd_ratio. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig4_left_low_isobarpaper_star_yellow_v2_EP_ratio.

fig4_left_top_isobarpaper_star_blue_open_v2_2_zrzr.

fig4_left_top_isobarpaper_star_blue_solid_v2_2_ruru.

fig4_left_top_isobarpaper_star_green_open_v2_tpc_eta_gt1_zrzr.

fig4_left_top_isobarpaper_star_green_solid_v2_tpc_eta_gt1_ruru.

fig4_left_top_isobarpaper_star_purple_open_v2_subEv_zrzr.

fig4_left_top_isobarpaper_star_purple_solid_v2_subEv_ruru.

fig4_left_top_isobarpaper_star_red_open_v2_tpcepd_zrzr.

fig4_left_top_isobarpaper_star_red_solid_v2_tpcepd_ruru.

fig4_left_top_isobarpaper_star_yellow_open_v2_EP_zrzr.

fig4_left_top_isobarpaper_star_yellow_solid_v2_EP_ruru.

fig4_right_low_isobarpaper_star_green_v2_4_ratio. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig4_right_low_isobarpaper_star_green_v2_zdc_ratio. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig4_right_top_isobarpaper_star_green_open_v2_4_zrzr. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values". "Imaginary number of v_2{4} is presented as negative value”

fig4_right_top_isobarpaper_star_green_solid_v2_4_ruru. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values". "Imaginary number of v_2{4} is presented as negative value”

fig4_right_top_isobarpaper_star_grey_open_v2_zdc_zrzr.

fig4_right_top_isobarpaper_star_grey_solid_v2_zdc_ruru.

fig5_olow_isobarpaper_star_green_group-2. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig5_olow_isobarpaper_star_purple_group-4.

fig5_olow_isobarpaper_star_yellow_group-3. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig5_otop_isobarpaper_star_blue_group-1. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig5_otop_isobarpaper_star_green_group-2.

fig5_otop_isobarpaper_star_red_group-3. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig6_olow_isobarpaper_star_blue_solid_v2_ratio.

fig6_otop_isobarpaper_star_blue_open_v2_zrzr.

fig6_otop_isobarpaper_star_blue_solid_v2_ruru.

fig7_otop_isobarpaper_star_blue_open_Ddelta_zrzr.

fig7_otop_isobarpaper_star_blue_solid_Ddelta_ratio.

fig7_otop_isobarpaper_star_blue_solid_Ddelta_ruru.

fig8_olow_isobarpaper_star_blue_solid_Dgamma_ratio. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig8_otop_isobarpaper_star_blue_open_Dgamma_zrzr.

fig8_otop_isobarpaper_star_blue_solid_Dgamma_ruru.

fig9_olow_isobarpaper_star_blue_solid_kappa_ratio. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig9_otop_isobarpaper_star_blue_open_kappa_zrzr. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig9_otop_isobarpaper_star_blue_solid_kappa_ruru.

fig10_left_low_isobarpaper_star_blue_v2_tpc_ratio. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig10_left_low_isobarpaper_star_green_v3_tpc_ratio. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig10_left_low_isobarpaper_star_red_v2_epd_ratio. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig10_left_low_isobarpaper_star_yellow_v3_epd_ratio. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig10_left_mid_isobarpaper_star_green_open_v3_tpc_zrzr. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig10_left_mid_isobarpaper_star_green_solid_v3_tpc_ruru. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig10_left_mid_isobarpaper_star_yellow_open_v3_epd_zrzr.

fig10_left_mid_isobarpaper_star_yellow_solid_v3_epd_ruru. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig10_left_top_isobarpaper_star_blue_open_v2_tpc_zrzr.

fig10_left_top_isobarpaper_star_blue_solid_v2_tpc_ruru.

fig10_left_top_isobarpaper_star_red_open_v2_epd_zrzr.

fig10_left_top_isobarpaper_star_red_solid_v2_epd_ruru.

fig10_right_low_isobarpaper_star_blue_v3_subEv_ratio. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig10_right_low_isobarpaper_star_green_v3_tpc_ratio. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig10_right_low_isobarpaper_star_purple_v3_tpc_eta_gt1_ratio. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig10_right_low_isobarpaper_star_yellow_v3_epd_ratio. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig10_right_top_isobarpaper_star_blue_open_v3_subEv_zrzr.

fig10_right_top_isobarpaper_star_blue_solid_v3_subEv_ruru. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig10_right_top_isobarpaper_star_green_open_v3_tpc_zrzr. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig10_right_top_isobarpaper_star_green_solid_v3_tpc_ruru. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig10_right_top_isobarpaper_star_purple_open_v3_tpc_eta_gt1_zrzr.

fig10_right_top_isobarpaper_star_purple_solid_v3_tpc_eta_gt1_ruru. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig10_right_top_isobarpaper_star_yellow_open_v3_epd_zrzr.

fig10_right_top_isobarpaper_star_yellow_solid_v3_epd_ruru. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig11_low_isobarpaper_star_black_g2_tpc_ratio.

fig11_low_isobarpaper_star_blue_g3_tpc_ratio.

fig11_low_isobarpaper_star_red_Ddelta_ratio.

fig11_mid_isobarpaper_star_blue_open_g3_tpc_zrzr. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig11_mid_isobarpaper_star_blue_solid_g3_tpc_ruru. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig11_top_isobarpaper_star_black_open_g2_tpc_zrzr. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig11_top_isobarpaper_star_black_solid_g2_tpc_ruru. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig12_low_isobarpaper_star_black_g2_subEv_ratio. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig12_low_isobarpaper_star_blue_g3_subEv_ratio.

fig12_low_isobarpaper_star_red_Ddelta_ratio.

fig12_mid_isobarpaper_star_blue_open_g3_subEv_zrzr. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig12_mid_isobarpaper_star_blue_solid_g3_subEv_ruru. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig12_top_isobarpaper_star_black_open_g2_subEv_zrzr.

fig12_top_isobarpaper_star_black_solid_g2_subEv_ruru. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig13_low_isobarpaper_star_black_g2_epd_ratio.

fig13_low_isobarpaper_star_blue_g3_epd_ratio.

fig13_low_isobarpaper_star_red_Ddelta_ratio.

fig13_mid_isobarpaper_star_blue_open_g3_epd_zrzr. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig13_mid_isobarpaper_star_blue_solid_g3_epd_ruru.

fig13_top_isobarpaper_star_black_open_g2_epd_zrzr. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig13_top_isobarpaper_star_black_solid_g2_epd_ruru. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig14_low_isobarpaper_star_black_solid_k2_ratio.

fig14_low_isobarpaper_star_blue_solid_k3_ratio.

fig14_mid_isobarpaper_star_blue_open_k3_zrzr. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig14_mid_isobarpaper_star_blue_solid_k3_ruru.

fig14_top_isobarpaper_star_black_open_k2_zrzr.

fig14_top_isobarpaper_star_black_solid_k2_ruru. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_left_lowerleftpanel_isobarpaper_star_blue_circle_tpc_ss_zrzr_40-50. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_left_lowerleftpanel_isobarpaper_star_blue_square_tpc_os_zrzr_40-50.

fig15_left_lowerleftpanel_isobarpaper_star_red_circle_tpc_ss_ruru_40-50. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_left_lowerleftpanel_isobarpaper_star_red_square_tpc_os_ruru_40-50.

fig15_left_lowerrightpanel_isobarpaper_star_blue_circle_epd_ss_zrzr_40-50. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_left_lowerrightpanel_isobarpaper_star_blue_square_epd_os_zrzr_40-50. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_left_lowerrightpanel_isobarpaper_star_red_circle_epd_ss_ruru_40-50. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_left_lowerrightpanel_isobarpaper_star_red_square_epd_os_ruru_40-50. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_left_midleftpanel_isobarpaper_star_blue_circle_tpc_ss_zrzr_30-40.

fig15_left_midleftpanel_isobarpaper_star_blue_square_tpc_os_zrzr_30-40.

fig15_left_midleftpanel_isobarpaper_star_red_circle_tpc_ss_ruru_30-40. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_left_midleftpanel_isobarpaper_star_red_square_tpc_os_ruru_30-40. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_left_midrightpanel_isobarpaper_star_blue_circle_epd_ss_zrzr_30-40. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_left_midrightpanel_isobarpaper_star_blue_square_epd_os_zrzr_30-40. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_left_midrightpanel_isobarpaper_star_red_circle_epd_ss_ruru_30-40. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_left_midrightpanel_isobarpaper_star_red_square_epd_os_ruru_30-40. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_left_topleftpanel_isobarpaper_star_blue_circle_tpc_ss_zrzr_20-30.

fig15_left_topleftpanel_isobarpaper_star_blue_square_tpc_os_zrzr_20-30.

fig15_left_topleftpanel_isobarpaper_star_red_circle_tpc_ss_ruru_20-30.

fig15_left_topleftpanel_isobarpaper_star_red_square_tpc_os_ruru_20-30.

fig15_left_toprightpanel_isobarpaper_star_blue_circle_epd_ss_zrzr_20-30. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_left_toprightpanel_isobarpaper_star_blue_square_epd_os_zrzr_20-30. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_left_toprightpanel_isobarpaper_star_red_circle_epd_ss_ruru_20-30.

fig15_left_toprightpanel_isobarpaper_star_red_square_epd_os_ruru_20-30.

fig15_right_lowerleftpanel_isobarpaper_star_blue_circle_tpc_Deltagamma_zrzr_40-50. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_right_lowerleftpanel_isobarpaper_star_red_circle_tpc_Deltagamma_ruru_40-50. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_right_lowerrightpanel_isobarpaper_star_blue_circle_epd_Deltagamma_zrzr_40-50. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_right_lowerrightpanel_isobarpaper_star_red_circle_epd_Deltagamma_ruru_40-50.

fig15_right_midleftpanel_isobarpaper_star_blue_circle_tpc_Deltagamma_zrzr_30-40. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_right_midleftpanel_isobarpaper_star_red_circle_tpc_Deltagamma_ruru_30-40.

fig15_right_midrightpanel_isobarpaper_star_blue_circle_epd_Deltagamma_zrzr_30-40. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_right_midrightpanel_isobarpaper_star_red_circle_epd_Deltagamma_ruru_30-40.

fig15_right_topleftpanel_isobarpaper_star_blue_circle_tpc_Deltagamma_zrzr_20-30.

fig15_right_topleftpanel_isobarpaper_star_red_circle_tpc_Deltagamma_ruru_20-30.

fig15_right_toprightpanel_isobarpaper_star_blue_circle_epd_Deltagamma_zrzr_20-30. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig15_right_toprightpanel_isobarpaper_star_red_circle_epd_Deltagamma_ruru_20-30. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig16_a_blue_zrzr.

fig16_a_red_ruru.

fig16_b.

fig17_a_blue_zrzr. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig17_a_red_ruru.

fig17_b. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig18_a_blue_ruru_ZDCdg.

fig18_a_red_ruru_TPCdg.

fig18_b_blue_ruru_ZDCv2.

fig18_b_red_ruru_TPCv2.

fig18_c_blue_ruru_A. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig18_c_red_ruru_a.

fig18_d_red_ruru. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig18_e_blue_zrzr_ZDCdg.

fig18_e_red_zrzr_TPCdg.

fig18_f_blue_zrzr_ZDCv2.

fig18_f_red_zrzr_TPCv2.

fig18_g_blue_zrzr_A. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig18_g_red_zrzr_a. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig18_h_red_zrzr. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig19_a_blue_zrzr. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig19_a_red_ruru. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig19_b_blue_zrzr.

fig19_b_red_ruru. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig21_doubleratio.

fig22_doubleratio_ruru. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig22_doubleratio_zrzr.

fig22_fcme_ruru. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig22_fcme_zrzr.

fig23_ratio_v22.

fig23_ratio_v24. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig23_ratio_v2z. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig23_v22_ru.

fig23_v22_zr.

fig23_v24_ru. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values". "Imaginary number of v_2{4} is presented as negative value”

fig23_v24_zr. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values". "Imaginary number of v_2{4} is presented as negative value”

fig23_v2z_ru.

fig23_v2z_zr.

fig24_a_isobarpaper_star_ruru_q2_0-20.

fig24_a_isobarpaper_star_ruru_q2_20-40.

fig24_a_isobarpaper_star_ruru_q2_40-60.

fig24_a_isobarpaper_star_ruru_q2_60-100.

fig24_b_isobarpaper_ruru.

fig24_c_isobarpaper_ruru.

fig24_d_isobarpaper_star_zrzr_q2_0-20.

fig24_d_isobarpaper_star_zrzr_q2_20-40.

fig24_d_isobarpaper_star_zrzr_q2_40-60.

fig24_d_isobarpaper_star_zrzr_q2_60-100.

fig24_e_isobarpaper_zrzr.

fig24_f_isobarpaper_zrzr.

fig25_a_isobarpaper_star_blue_open_zrzr_0-10.

fig25_a_isobarpaper_star_blue_solid_ruru_0-10.

fig25_b_isobarpaper_star_red_open_zrzr_10-30.

fig25_b_isobarpaper_star_red_solid_ruru_10-30.

fig25_c_isobarpaper_star_green_open_zrzr_30-50.

fig25_c_isobarpaper_star_green_solid_ruru_30-50.

fig25_d_isobarpaper_star_orange_open_zrzr_20-50.

fig25_d_isobarpaper_star_orange_solid_ruru_20-50.

fig25_e_isobarpaper_star_open_zrzr.

fig25_e_isobarpaper_star_solid_ruru.

fig25_f_isobarpaper_star_solid_ratio. "For points without systematic uncertainties, using the method for estimating systematic uncertainties as described in the paper yields 0 values"

fig26_isobarpaper_star_black_deltagamma_by_v2_1. "({/Symbol Dg}_{112}/v_{2})_{EP,TPC}" Group-1

fig26_isobarpaper_star_black_deltagamma_by_v2_2. "({/Symbol Dg}_{112}/v_{2})_{3PC,TPC}" Group-2

fig26_isobarpaper_star_black_deltagamma_by_v2_3. "({/Symbol Dg}_{112}/v_{2})_{3PC,TPC}" Group-3

fig26_isobarpaper_star_black_deltagamma_by_v2_4. "({/Symbol Dg}_{112}/v_{2})_{SE,TPC}" Group-2

fig26_isobarpaper_star_black_deltagamma_by_v2_5. "({/Symbol Dg}_{112}/v_{2})_{SE,TPC}" Group-3

fig26_isobarpaper_star_black_deltagamma_by_v2_6. "({/Symbol Dg}_{112}/v_{2})_{SE,TPC}" Group-4

fig26_isobarpaper_star_black_deltagamma_by_v2_7. "({/Symbol Dg}_{112}/v_{2})_{SP,EPD}" Group-2

fig26_isobarpaper_star_blue_R. "{/Symbol s}@^{-1}_{R_{/Symbol Y}_2}" Group-5

fig26_isobarpaper_star_darkgreen_k_9. "{/Symbol k}_{112}" Group-1

fig26_isobarpaper_star_darkgreen_k_10. "k_{2}" Group-2

fig26_isobarpaper_star_grey_deltagamma_by_v3. "({/Symbol Dg}_{123}/v_{3})_{3PC,TPC}" Group-2

fig26_isobarpaper_star_lightgreen_k. "k_{3}" Group-2

fig27_isobarpaper_star_black_deltagamma_by_v2_1. "({/Symbol Dg}_{112}/v_{2})_{EP,TPC}" Group-1

fig27_isobarpaper_star_black_deltagamma_by_v2_2. "({/Symbol Dg}_{112}/v_{2})_{3PC,TPC}" Group-2

fig27_isobarpaper_star_black_deltagamma_by_v2_3. "({/Symbol Dg}_{112}/v_{2})_{3PC,TPC}" Group-3

fig27_isobarpaper_star_black_deltagamma_by_v2_4. "({/Symbol Dg}_{112}/v_{2})_{SE,TPC}" Group-2

fig27_isobarpaper_star_black_deltagamma_by_v2_5. "({/Symbol Dg}_{112}/v_{2})_{SE,TPC}" Group-3

fig27_isobarpaper_star_black_deltagamma_by_v2_6. "({/Symbol Dg}_{112}/v_{2})_{SE,TPC}" Group-4

fig27_isobarpaper_star_black_deltagamma_by_v2_7. "({/Symbol Dg}_{112}/v_{2})_{SP,EPD}" Group-2

fig27_isobarpaper_star_blue_R.txt. "{/Symbol s}@^{-1}_{R_{/Symbol Y}_2}" Group-5

fig27_isobarpaper_star_darkgreen_k_9. "{/Symbol k}_{112}" Group-1

fig27_isobarpaper_star_darkgreen_k_10. "k_{2}" Group-2

fig27_isobarpaper_star_grey_deltagamma_by_v3. "({/Symbol Dg}_{123}/v_{3})_{3PC,TPC}" Group-2

fig27_isobarpaper_star_lightgreen_k. "k_{3}" Group-2

fig27_isobarpaper_star_purple_r_n_13. "r(m_{inv})" Group-3

fig27_isobarpaper_star_purple_r_n_14. "1/N@_{trk}^{offline}"

Event by event net-proton multiplicity, $\Delta N_{p}$, distributions for Au+Au collisions at √sNN = 27, 54.4, and 200 GeV in 0-10% and 30-40% centralities at midrapidity (|y| < 0.5) for the transverse momentum range of 0.4 < $p_{T}$ (GeV/c) < 2.0. These distributions are normalized by the corresponding numbers of events and are not corrected for detector efficiencies. Statistical uncertainties are shown as vertical lines. The dashed lines show the Skellam distributions for each collision energy and centrality. The bottom panel shows the ratio of the data to the Skellam expectations.

Event by event net-proton multiplicity, $\Delta N_{p}$, distributions for Au+Au collisions at √sNN = 27, 54.4, and 200 GeV in 0-10% and 30-40% centralities at midrapidity (|y| < 0.5) for the transverse momentum range of 0.4 < $p_{T}$ (GeV/c) < 2.0. These distributions are normalized by the corresponding numbers of events and are not corrected for detector efficiencies. Statistical uncertainties are shown as vertical lines. The dashed lines show the Skellam distributions for each collision energy and centrality. The bottom panel shows the ratio of the data to the Skellam expectations.

Event by event net-proton multiplicity, $\Delta N_{p}$, distributions for Au+Au collisions at √sNN = 27, 54.4, and 200 GeV in 0-10% and 30-40% centralities at midrapidity (|y| < 0.5) for the transverse momentum range of 0.4 < $p_{T}$ (GeV/c) < 2.0. These distributions are normalized by the corresponding numbers of events and are not corrected for detector efficiencies. Statistical uncertainties are shown as vertical lines. The dashed lines show the Skellam distributions for each collision energy and centrality. The bottom panel shows the ratio of the data to the Skellam expectations.

Net-proton $C_{6}/C_{2}$ as a function of rapidity (left) and transverse momentum acceptance (right) from $\sqrt{s_{NN}}$ = 27 GeV (crosses), 54.4 (open squares), and 200 GeV (filled circles) Au+Au collisions. The upper and lower plots are for 0-10% and 30-40% centralities, respectively. The error bars are statistical and caps are systematic errors. Points for different beam energies are staggered horizontally to improve clarity. UrQMD transport model results are shown as shaded and hatched bands. The Skellam expectation ($C_{6}/C_{2} = 1) is shown as long-dashed lines.

Net-proton $C_{6}/C_{2}$ as a function of rapidity (left) and transverse momentum acceptance (right) from $\sqrt{s_{NN}}$ = 27 GeV (crosses), 54.4 (open squares), and 200 GeV (filled circles) Au+Au collisions. The upper and lower plots are for 0-10% and 30-40% centralities, respectively. The error bars are statistical and caps are systematic errors. Points for different beam energies are staggered horizontally to improve clarity. UrQMD transport model results are shown as shaded and hatched bands. The Skellam expectation ($C_{6}/C_{2} = 1) is shown as long-dashed lines.

Net-proton $C_{6}/C_{2}$ as a function of rapidity (left) and transverse momentum acceptance (right) from $\sqrt{s_{NN}}$ = 27 GeV (crosses), 54.4 (open squares), and 200 GeV (filled circles) Au+Au collisions. The upper and lower plots are for 0-10% and 30-40% centralities, respectively. The error bars are statistical and caps are systematic errors. Points for different beam energies are staggered horizontally to improve clarity. UrQMD transport model results are shown as shaded and hatched bands. The Skellam expectation ($C_{6}/C_{2} = 1) is shown as long-dashed lines.

Net-proton $C_{6}/C_{2}$ as a function of rapidity (left) and transverse momentum acceptance (right) from $\sqrt{s_{NN}}$ = 27 GeV (crosses), 54.4 (open squares), and 200 GeV (filled circles) Au+Au collisions. The upper and lower plots are for 0-10% and 30-40% centralities, respectively. The error bars are statistical and caps are systematic errors. Points for different beam energies are staggered horizontally to improve clarity. UrQMD transport model results are shown as shaded and hatched bands. The Skellam expectation ($C_{6}/C_{2} = 1) is shown as long-dashed lines.

Net-proton $C_{6}/C_{2}$ as a function of rapidity (left) and transverse momentum acceptance (right) from $\sqrt{s_{NN}}$ = 27 GeV (crosses), 54.4 (open squares), and 200 GeV (filled circles) Au+Au collisions. The upper and lower plots are for 0-10% and 30-40% centralities, respectively. The error bars are statistical and caps are systematic errors. Points for different beam energies are staggered horizontally to improve clarity. UrQMD transport model results are shown as shaded and hatched bands. The Skellam expectation ($C_{6}/C_{2} = 1) is shown as long-dashed lines.

Net-proton $C_{6}/C_{2}$ as a function of rapidity (left) and transverse momentum acceptance (right) from $\sqrt{s_{NN}}$ = 27 GeV (crosses), 54.4 (open squares), and 200 GeV (filled circles) Au+Au collisions. The upper and lower plots are for 0-10% and 30-40% centralities, respectively. The error bars are statistical and caps are systematic errors. Points for different beam energies are staggered horizontally to improve clarity. UrQMD transport model results are shown as shaded and hatched bands. The Skellam expectation ($C_{6}/C_{2} = 1) is shown as long-dashed lines.

Collisions centrality dependence of net-proton $C_{6}/C_{2}$ in Au+Au collisions for |$y$| < 0.5 and 0.4 < $p_{T}$ (GeV/c) < 2.0. The error bars are statistical and caps are systematic errors. Points for different beam energies are staggered horizontally to improve clarity. A shaded band shows the results from UrQMD model calculations. UrQMD calculations from the above three collision energies are consistent among them so they are merged in order to reduce statistical fluctuations. Details on these calculations can be found in the Supplemental Material at [URL will be inserted by publisher]. The lattice QCD calculations [16, 17] for T = 160 MeV and $\mu_{B}$ < 110 MeV. are shown as a blue band at $\langle N_{part}\rangle$ $\approx$ 340.

Collisions centrality dependence of net-proton $C_{6}/C_{2}$ in Au+Au collisions for |$y$| < 0.5 and 0.4 < $p_{T}$ (GeV/c) < 2.0. The error bars are statistical and caps are systematic errors. Points for different beam energies are staggered horizontally to improve clarity. A shaded band shows the results from UrQMD model calculations. UrQMD calculations from the above three collision energies are consistent among them so they are merged in order to reduce statistical fluctuations. Details on these calculations can be found in the Supplemental Material at [URL will be inserted by publisher]. The lattice QCD calculations [16, 17] for T = 160 MeV and $\mu_{B}$ < 110 MeV. are shown as a blue band at $\langle N_{part}\rangle$ $\approx$ 340.

Collisions centrality dependence of net-proton $C_{6}/C_{2}$ in Au+Au collisions for |$y$| < 0.5 and 0.4 < $p_{T}$ (GeV/c) < 2.0. The error bars are statistical and caps are systematic errors. Points for different beam energies are staggered horizontally to improve clarity. A shaded band shows the results from UrQMD model calculations. UrQMD calculations from the above three collision energies are consistent among them so they are merged in order to reduce statistical fluctuations. Details on these calculations can be found in the Supplemental Material at [URL will be inserted by publisher]. The lattice QCD calculations [16, 17] for T = 160 MeV and $\mu_{B}$ < 110 MeV. are shown as a blue band at $\langle N_{part}\rangle$ $\approx$ 340.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Cumulants and their ratios up to the sixth order corrected for non-binomial efficiencies for 200 GeV Au+Au collisions at 0-5% centrality. The CBWC is applied for 2.5% centrality bin width. Results from the conventional efficiency correction are shown as black filled circles, results from the unfolding with the binomial detector response are shown as black open circles, and results from beta-binomial detector response with $\alpha+\sigma$, $\alpha$ and $\alpha-\sigma$ are shown in green triangles, red squares and blue triangles, respectively. C5, C6, C2/C1, C5/C1 and C6/C2 are scaled by constant shown in each column.

Collision centrality dependence of net-proton C6/C2 in Au+Au collisions for $\sqrt{s_{NN}}$ = 200 GeV within |y| < 0.5 and 0.4 < pT (GeV/c) < 2.0. Results with and without the CBWC are overlaid. The results are corrected for detector efficiencies. Points for different calculation methods are staggered horizontally to improve clarity.

Collision centrality dependence of net-proton C6/C2 in Au+Au collisions for $\sqrt{s_{NN}}$ = 27, 54.4, and 200 GeV within |y| < 0.5 and 0.4 < pT (GeV/c) < 2.0. Points for different beam energies are staggered horizontally to improve clarity. Shaded and hatched bands show the results from UrQMD model calculations The lattice QCD calculations [13, 14] for T = 160 MeV and $\mu_{B}$ < 110 MeV. are shown as a blue band at $\langle N_{part}\rangle$ $\approx$ 340.

Centrality dependence of single cumulants C1, of net-lambda multiplicity distributions at Au + Au collision 62.4 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C1, of net-lambda multiplicity distributions at Au + Au collision 200 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C2, of net-lambda multiplicity distributions at Au + Au collision 19.6 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C2, of net-lambda multiplicity distributions at Au + Au collision 27 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C2, of net-lambda multiplicity distributions at Au + Au collision 39 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C2, of net-lambda multiplicity distributions at Au + Au collision 62.4 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C2, of net-lambda multiplicity distributions at Au + Au collision 200 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C3, of net-lambda multiplicity distributions at Au + Au collision 19.6 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C3, of net-lambda multiplicity distributions at Au + Au collision 27 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C3, of net-lambda multiplicity distributions at Au + Au collision 39 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C3, of net-lambda multiplicity distributions at Au + Au collision 62.4 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C3, of net-lambda multiplicity distributions at Au + Au collision 200 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C2/C1, as a function of net-lambda multiplicity distributions at Au + Au collision 19.6 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C2/C1, as a function of net-lambda multiplicity distributions at Au + Au collision 27 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C2/C1, as a function of net-lambda multiplicity distributions at Au + Au collision 39 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C2/C1, as a function of net-lambda multiplicity distributions at Au + Au collision 62.4 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C2/C1, as a function of net-lambda multiplicity distributions at Au + Au collision 200 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C3/C2, as a function of net-lambda multiplicity distributions at Au + Au collision 19.6 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C3/C2, as a function of net-lambda multiplicity distributions at Au + Au collision 27 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C3/C2, as a function of net-lambda multiplicity distributions at Au + Au collision 39 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C3/C2, as a function of net-lambda multiplicity distributions at Au + Au collision 62.4 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C3/C2, as a function of net-lambda multiplicity distributions at Au + Au collision 200 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Beam-energy dependence of net-lambda cumulant ratios C2/C1 in most central (0-5%) and peripheral (50-60%). Values are shown with NBD, Poisson and UrQMD predictions.

Beam-energy dependence of net-lambda cumulant ratios C3/C2 in most central (0-5%) and peripheral (50-60%). Values are shown with NBD, Poisson and UrQMD predictions.

Beam-energy dependence of net-lambda, net-proton and net-kaon cumulant ratios C2/C1 in most central (0-5%) collision.

Beam-energy dependence of net-lambda, net-proton and net-kaon cumulant ratios C3/C2 in most central (0-5%) collision.

Beam-energy dependence of net-lambda cumulant ratios C2/C1 in most central (0-5%) collision, along with results from HRG.

Beam-energy dependence of net-lambda cumulant ratios C3/C2 in most central (0-5%) collision, along with results from HRG.

Rapidity dependence of net-lambda cumulant ratios C2/C1 in most central (0-5%) collision, along with results from NBD.

Rapidity dependence of net-lambda cumulant ratios C3/C2 in most central (0-5%) collision, along with results from NBD.

Rapidity dependence of normalized C2 in most central (0-5%) collision at Au+Au 19.6 GeV.

Rapidity dependence of normalized C2 in most central (0-5%) collision at Au+Au 200 GeV.

The $p_{T}$ spectra of $\pi^{-}$ measured at midrapidity (|y|<0.1) in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV. Spectra are plotted for nine centrality classes, with some spectra multiplied by a scale factor to improve clarity, as indicatedin the legend

The $p_{T}$ spectra of $K^{+}$ measured at midrapidity (|y|<0.1) in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV. Spectra are plotted for nine centrality classes, with some spectra multiplied by a scale factor to improve clarity, as indicatedin the legend

The $p_{T}$ spectra of $K^{-}$ measured at midrapidity (|y|<0.1) in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV. Spectra are plotted for nine centrality classes, with some spectra multiplied by a scale factor to improve clarity, as indicatedin the legend

Average $p_{T}$ of $\pi^{+}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Average $p_{T}$ of $\pi^{-}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Average $p_{T}$ of $K^{+}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Average $p_{T}$ of $K^{-}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$= 14.5 GeV.

Average $p_{T}$ of p as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Average $p_{T}$ of p-bar as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

dN/dy of $\pi^{+}$ scaled by 0.5*$N_{part}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

dN/dy of $\pi^{-}$ scaled by 0.5*$N_{part}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

dN/dy of $K^{+}$ scaled by 0.5*$N_{part}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

dN/dy of $K^{-}$ scaled by 0.5*$N_{part}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

dN/dy of proton scaled by 0.5*$N_{part}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

dN/dy of p-bar scaled by 0.5*$N_{part}$ as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Kinetic freeze-out temperature as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Velocity as a function of number of participant for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

The event plane resolution calculated for Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV as a function of centrality.

Inclusive charged particle elliptic flow v2 at mid-pseudorapidity (|y| <1.0) as a function of $p_{T}$ for 10-20% centrality in Au + Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Inclusive charged particle elliptic flow v2 at mid-pseudorapidity (|y| <1.0) as a function of $p_{T}$ for 20-30% centrality in Au + Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Inclusive charged particle elliptic flow v2 at mid-pseudorapidity (|y| <1.0) as a function of $p_{T}$ for 30-40% centrality in Au + Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Inclusive charged particle elliptic flow v2 at mid-pseudorapidity (|y| <1.0) as a function of transverse momentum $p_{T}$ for six centrality classes, obtained using the $\eta$-sub event plane method in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Inclusive charged particle elliptic flow v2 at mid-pseudorapidity (|y| <1.0) as a function of $p_{T}$-integrated v2($\eta$) for six centrality classes, obtained using the $\eta$-sub event plane method in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

The ratio inclusive charged particle elliptic flow v2 over root-mean-square participant eccentricity $Epart_{2}$ at mid-pseudorapidity as a function of $p_{T}$ for 10–20%, 30–40%, and 50–60% collision centralities in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV.

Summary of centrality bins, average number of participants $N_{part}$, number of binary collisions $N_{coll}$, reaction plane eccentricity eRP, participant eccentricity epart, root-mean-square of the participant eccentricity epart{2}, and transverse area $S_{part}$ from MC Glauber simulations at $\sqrt{s_{NN}}$ = 14.5 GeV.

The inclusive charged particle elliptic flow v2($\eta$-sub) versus pseudorapidity $\eta$ at mid-pseudorapidity for $\sqrt{s_{NN}}$ = 14.5 GeV.

Rapidity-odd charged particles directed flow v1 as a function of $p_{T}$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of $p_{T}$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 11.5 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of $p_{T}$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of $p_{T}$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of $p_{T}$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 27.0 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of $p_{T}$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 39.0 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of pseudorapidity $\eta$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of pseudorapidity $\eta$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 11.5 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of pseudorapidity $\eta$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 14.5 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of pseudorapidity $\eta$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of pseudorapidity $\eta$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 27.0 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of pseudorapidity $\eta$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 39.0 GeV for 0–10%, 10–40% and 40–80% centrality intervals.

Rapidity-odd charged particles directed flow v1 as a function of pseudorapidity $\eta$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 – 39 GeV for 30-60% centrality intervals.

The $\gamma_{SS}$ correlators in du+Au collisions at $\sqrt{s_{NN}}=200$ GeV at RHIC as a function of multiplicity.

The correlation difference variable $\Delta \gamma = \gamma_{OS}-\gamma_{SS}$ in p+Au collisions at $\sqrt{s_{NN}}=200$ GeV at RHIC as a function of multiplicity.

The correlation difference variable $\Delta \gamma = \gamma_{OS}-\gamma_{SS}$ in d+Au collisions at $\sqrt{s_{NN}}=200$ GeV at RHIC as a function of multiplicity.

The measured two-particle cumulant $v_2\{2\}$ in p+Au collisions at $\sqrt{s_{NN}}=200$ GeV at RHIC as a function of multiplicity.

The measured two-particle cumulant $v_2\{2\}$ in d+Au collisions at $\sqrt{s_{NN}}=200$ GeV at RHIC as a function of multiplicity.

The scaled observable $\Delta{\gamma}_{scaled} = \Delta{\gamma} \times dN_{ch}/d\eta/v_{2}$ in p+Au collisions at $\sqrt{s_{NN}}=200$ GeV at RHIC as a function of multiplicity.

The scaled observable $\Delta{\gamma}_{scaled} = \Delta{\gamma} \times dN_{ch}/d\eta/v_{2}$ in d+Au collisions at $\sqrt{s_{NN}}=200$ GeV at RHIC as a function of multiplicity.

Mid-rapidity v2(pT) for d,anti-d,t,He from minimum bias (0-80%) Au+Au collisions 27 GeV.

Mid-rapidity v2(pT) for d,anti-d,t,He from minimum bias (0-80%) Au+Au collisions 19.6 GeV.

Mid-rapidity v2(pT) for d,t,He from minimum bias (0-80%) Au+Au collisions 11.5 GeV.

Mid-rapidity v2(pT) for d,t,He from minimum bias (0-80%) Au+Au collisions 7.7 GeV.

Mid-rapidity v2(pT) difference for d-dbar in minimum bias (0-80%) Au+Au collisions 200 GeV.

Mid-rapidity v2(pT) difference for d-dbar in minimum bias (0-80%) Au+Au collisions 62.4 GeV.

Mid-rapidity v2(pT) difference for d-dbar in minimum bias (0-80%) Au+Au collisions 39 GeV.

Mid-rapidity v2(pT) difference for d-dbar in minimum bias (0-80%) Au+Au collisions 27 GeV.

Mid-rapidity v2(pT) difference for d-dbar in minimum bias (0-80%) Au+Au collisions 19.6 GeV.

Mid-rapidity v2(pT) for d and anti-d for 0-10%, 10-40% and 40-80% in Au+Au collisions 200 GeV.

Mid-rapidity v2(pT) for d and anti-d for 0-30% and 30-80% in Au+Au collisions 62.4 GeV.

Mid-rapidity v2(pT) for d and anti-d for 0-30% and 30-80% in Au+Au collisions 39 GeV.

Mid-rapidity v2(pT) for d and anti-d for 0-30% and 30-80% in Au+Au collisions 27 GeV.

Mid-rapidity v2(pT) for d 0-30% and 30-80% in Au+Au collisions 19.6 GeV.

Mid-rapidity v2(pT) for d 0-30% and 30-80% in Au+Au collisions 11.5 GeV.

Mid-rapidity v2(pT) for d 0-30% and 30-80% in Au+Au collisions 7.7 GeV.

Raw $\Delta N_k$ distributions in Au+Au collisions at 19.6 GeV for 0–5%, 30–40%, and 70–80% collision centralities at midrapidity. The distributions are not corrected for the finite centrality bin width effect nor the reconstruction efficiency.

Raw $\Delta N_k$ distributions in Au+Au collisions at 27 GeV for 0–5%, 30–40%, and 70–80% collision centralities at midrapidity. The distributions are not corrected for the finite centrality bin width effect nor the reconstruction efficiency.

Raw $\Delta N_k$ distributions in Au+Au collisions at 39 GeV for 0–5%, 30–40%, and 70–80% collision centralities at midrapidity. The distributions are not corrected for the finite centrality bin width effect nor the reconstruction efficiency.

Raw $\Delta N_k$ distributions in Au+Au collisions at 62.4 GeV for 0–5%, 30–40%, and 70–80% collision centralities at midrapidity. The distributions are not corrected for the finite centrality bin width effect nor the reconstruction efficiency.

Raw $\Delta N_k$ distributions in Au+Au collisions at 200 GeV for 0–5%, 30–40%, and 70–80% collision centralities at midrapidity. The distributions are not corrected for the finite centrality bin width effect nor the reconstruction efficiency.

Collision centrality dependence of cumulants (C1, C2, C3, and C4) of $\Delta N_k$ distributions in Au+Au collisions at 7.7 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of cumulants (C1, C2, C3, and C4) of $\Delta N_k$ distributions in Au+Au collisions at 11.5 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of cumulants (C1, C2, C3, and C4) of $\Delta N_k$ distributions in Au+Au collisions at 14.5 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of cumulants (C1, C2, C3, and C4) of $\Delta N_k$ distributions in Au+Au collisions at 19.6 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of cumulants (C1, C2, C3, and C4) of $\Delta N_k$ distributions in Au+Au collisions at 27 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of cumulants (C1, C2, C3, and C4) of $\Delta N_k$ distributions in Au+Au collisions at 39 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of cumulants (C1, C2, C3, and C4) of $\Delta N_k$ distributions in Au+Au collisions at 62.4 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of cumulants (C1, C2, C3, and C4) of $\Delta N_k$ distributions in Au+Au collisions at 200 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $M/\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 7.7 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $M/\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 11.5 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $M/\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 14.5 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $M/\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 19.6 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $M/\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 27 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $M/\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 39 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $M/\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 62.4 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $M/\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 200 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $S\sigma$ for $\Delta N_k$ distributions in Au+Au collisions at 7.7 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $S\sigma$ for $\Delta N_k$ distributions in Au+Au collisions at 11.5 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $S\sigma$ for $\Delta N_k$ distributions in Au+Au collisions at 14.5 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $S\sigma$ for $\Delta N_k$ distributions in Au+Au collisions at 19.6 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $S\sigma$ for $\Delta N_k$ distributions in Au+Au collisions at 27 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $S\sigma$ for $\Delta N_k$ distributions in Au+Au collisions at 39 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $S\sigma$ for $\Delta N_k$ distributions in Au+Au collisions at 62.4 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $S\sigma$ for $\Delta N_k$ distributions in Au+Au collisions at 200 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $\kappa\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 7.7 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $\kappa\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 11.5 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $\kappa\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 14.5 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $\kappa\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 19.6 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $\kappa\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 27 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $\kappa\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 39 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $\kappa\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 62.4 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $\kappa\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 200 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collisions energy dependence of $M/\sigma^2$ for $\Delta N_k$ multiplicity distributions from 0–5% most central and 70–80% peripheral collisions in Au+Au collisions at \sqrt{s_{NN}} = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collisions energy dependence of $S\sigma$ for $\Delta N_k$ multiplicity distributions from 0–5% most central and 70–80% peripheral collisions in Au+Au collisions at \sqrt{s_{NN}} = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collisions energy dependence of $\kappa\sigma^2$ for $\Delta N_k$ multiplicity distributions from 0–5% most central and 70–80% peripheral collisions in Au+Au collisions at \sqrt{s_{NN}} = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.