$v_{2}(p_{T})$ 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

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.

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.

Reference charged particle multiplicity distributions using only pions and kaons ...

Reference charged particle multiplicity distributions using only pions and kaons ...

Reference charged particle multiplicity distributions using only pions and kaons ...

Reference charged particle multiplicity distributions using only pions and kaons ...

Reference charged particle multiplicity distributions using only pions and kaons ...

Reference charged particle multiplicity distributions using only pions and kaons ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 62.4 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 62.4 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 62.4 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 62.4 GeV as a function of $N_{part}$.

$\kappa\sigma^2$ as a function of collision energy for Au+Au collisions for 0-5% centrality.

Efficiency uncorrected $C_n$ of net-proton proton and anti-proton multiplicity distribution in Au+Au collisions at $\sqrt{s_\text{NN}}$ = 7.7 - 200 GeV as function of $\left\langle N_\text{part} \right\rangle$.

Efficiencies of proton and anti-proton as a function of $p_\mathrm{T}$ in Au+Au collisions for various $\sqrt{s_\text{NN}}$ and collision centralities.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Unfolded net-proton multiplicity distributions for $\sqrt{s_{NN}$ = 200 GeV Au+Au collisions.

Unfolded net-proton multiplicity distributions for $\sqrt{s_{NN}$ = 200 GeV Au+Au collisions.

Unfolded net-proton multiplicity distributions for $\sqrt{s_{NN}$ = 200 GeV Au+Au collisions.

Unfolded net-proton multiplicity distributions for $\sqrt{s_{NN}$ = 200 GeV Au+Au collisions.

Unfolded net-proton multiplicity distributions for $\sqrt{s_{NN}$ = 200 GeV Au+Au collisions.

Unfolded net-proton multiplicity distributions for $\sqrt{s_{NN}$ = 200 GeV Au+Au collisions.

Unfolded net-proton multiplicity distributions for $\sqrt{s_{NN}$ = 200 GeV Au+Au collisions.

Cumulant ratios as a function of $N_{part}$ for net-proton distributions in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV

Cumulant ratios as a function of $N_{part}$ for net-proton distributions in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV

Collision centrality dependence of proton, anti-proton and net-proton cumulants

Cumulants and their ratios as a function of $<N_{part}>$, for the net-proton distribution

Centrality dependence of normalized correlation functions $\kappa_n/$kappa_1$ for proton and anti-proton multiplicity distribution

Rapidity acceptance dependence of cumulants of proton, anti-proton and net-proton multiplicity distributions in 0-5% central Au+Au collision ...

Rapidity acceptance dependence of normalized correlation functions up to fourth order.

Rapidity-acceptance dependence of cumulant ratios of proton, anti-proton and net-proton multiplicity distributions in 0-5% central Au+Au collisions...

pT-acceptance dependence of cumulants of proton, anti-proton and net-proton multiplicity distributions for 0-5% central Au+Au collisions ...

pT-acceptance dependence of the normalized correlation functions up to fourth order ($\kappa_n/\kappa_1$, $n$ = 2, 3, 4) for proton and anti-proton multiplicity distributions in 0-5% central Au+Au collisions ...

pT-acceptance dependence of cumulant ratios of proton, anti-proton and net-proton multiplicity distributions for 0-5% central Au+Au collisions ...

Cumulant ratios from HRG model as a function of collision energy $\sqrt{s_{NN}}$

UrQMD results on pT acceptance dependence for cumulant ratios for proton and baryon

Polynomial fit of cumulant ratios as a function of collision energy $\sqrt{s_{NN}}$

Polynomial fit of cumulant ratios as a function of collision energy $\sqrt{s_{NN}}$

Polynomial fit of cumulant ratios as a function of collision energy $\sqrt{s_{NN}}$

Collision energy dependence of $C_2/C_1$, $C_3/C_2$ and $C_4/C_2$ for net-proton multiplicity distribution in 0-5% central Au+Au collisions. The expreimental net-proton measurements are compared to corresponding values from UrQMD and HRG models within the expreimental acceptances.

Collision energy dependence of $C_2/C_1$, $C_3/C_2$ and $C_4/C_2$ for net-proton multiplicity distribution in 0-5% central Au+Au collisions. The expreimental net-proton measurements are compared to corresponding values from UrQMD and HRG models within the expreimental acceptances.

Collision energy dependence of $C_2/C_1$, $C_3/C_2$ and $C_4/C_2$ for net-proton multiplicity distribution in 0-5% central Au+Au collisions. The expreimental net-proton measurements are compared to corresponding values from UrQMD and HRG models within the expreimental acceptances.

Collision energy dependence of $C_2/C_1$, $C_3/C_2$ and $C_4/C_2$ for net-proton multiplicity distribution in 0-5% central Au+Au collisions. The expreimental net-proton measurements are compared to corresponding values from UrQMD and HRG models within the expreimental acceptances.

Collision energy dependence of $C_2/C_1$, $C_3/C_2$ and $C_4/C_2$ for net-proton multiplicity distribution in 0-5% central Au+Au collisions. The expreimental net-proton measurements are compared to corresponding values from UrQMD and HRG models within the expreimental acceptances.

Collision energy dependence of $C_2/C_1$, $C_3/C_2$ and $C_4/C_2$ for net-proton multiplicity distribution in 0-5% central Au+Au collisions. The expreimental net-proton measurements are compared to corresponding values from UrQMD and HRG models within the expreimental acceptances.

Collision energy dependence of $C_2/C_1$, $C_3/C_2$ and $C_4/C_2$ for net-proton multiplicity distribution in 0-5% central Au+Au collisions. The expreimental net-proton measurements are compared to corresponding values from UrQMD and HRG models within the expreimental acceptances.

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.

Centrality dependence of efficiency corrected second-order diagonal cumulants of net-proton, net-kaon and net-pion (top to bottom) of the multiplicity distributions for Au+Au collisions at GeV (left to right) within kinematic range of |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. The boxes represent the systematic error. The statistical error bars are within the marker size. The dashed lines represent scaling predicted by central limit theorem and the solid lines are UrQMD calculations.

Centrality dependence of second-order off-diagonal cumulants of net-proton, net-charge and net-kaon for Au+Au colli- sions at √sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV (left to right) within kinematic range |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. Error bars are statistical and boxes are systematic errors. The dashed lines represent scaling predicted by the central limit theorem and the solid lines are UrQMD calculations.

Centrality dependence of efficiency corrected second-order diagonal cumulants of net-proton, net-kaon and net-pion (top to bottom) of the multiplicity distributions for Au+Au collisions at GeV (left to right) within kinematic range of |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. The boxes represent the systematic error. The statistical error bars are within the marker size. The dashed lines represent scaling predicted by central limit theorem and the solid lines are UrQMD calculations.

Centrality dependence of second-order off-diagonal to diagonal cumulants ratios of net-proton, net-charge and net-kaon for Au+Au collisions at √sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV (left to right) within the kinematic range |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. Error bars are statistical and boxes are systematic errors. The solid lines represent the UrQMD calculations.

Centrality dependence of efficiency corrected second-order diagonal cumulants of net-proton, net-kaon and net-pion (top to bottom) of the multiplicity distributions for Au+Au collisions at GeV (left to right) within kinematic range of |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. The boxes represent the systematic error. The statistical error bars are within the marker size. The dashed lines represent scaling predicted by central limit theorem and the solid lines are UrQMD calculations.

Beam energy dependence of cumulant ratios (Cp,k,CQ,k and CQ,p; top to bottom) of net-proton, net-kaon and net-charge (identified) for Au+Au collisions at sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV. The bands denote the UrQMD calculations for 0-5% and 70-80% central collisions and the HRG values are denoted by red dotted lines. The Poisson baseline is denoted by black dashed lines. Error bars are statistical and boxes are systematic errors.

Centrality dependence of efficiency corrected second-order diagonal cumulants of net-proton, net-kaon and net-pion (top to bottom) of the multiplicity distributions for Au+Au collisions at GeV (left to right) within kinematic range of |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. The boxes represent the systematic error. The statistical error bars are within the marker size. The dashed lines represent scaling predicted by central limit theorem and the solid lines are UrQMD calculations.

Centrality dependence of efficiency corrected second-order diagonal cumulants of net-proton, net-kaon and net-pion (top to bottom) of the multiplicity distributions for Au+Au collisions at GeV (left to right) within kinematic range of |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. The boxes represent the systematic error. The statistical error bars are within the marker size. The dashed lines represent scaling predicted by central limit theorem and the solid lines are UrQMD calculations.

Centrality dependence of efficiency corrected second-order diagonal cumulants of net-proton, net-kaon and net-pion (top to bottom) of the multiplicity distributions for Au+Au collisions at GeV (left to right) within kinematic range of |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. The boxes represent the systematic error. The statistical error bars are within the marker size. The dashed lines represent scaling predicted by central limit theorem and the solid lines are UrQMD calculations.

Centrality dependence of efficiency corrected second-order diagonal cumulants of net-proton, net-kaon and net-pion (top to bottom) of the multiplicity distributions for Au+Au collisions at GeV (left to right) within kinematic range of |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. The boxes represent the systematic error. The statistical error bars are within the marker size. The dashed lines represent scaling predicted by central limit theorem and the solid lines are UrQMD calculations.

Centrality dependence of efficiency corrected second-order diagonal cumulants of net-proton, net-kaon and net-pion (top to bottom) of the multiplicity distributions for Au+Au collisions at GeV (left to right) within kinematic range of |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. The boxes represent the systematic error. The statistical error bars are within the marker size. The dashed lines represent scaling predicted by central limit theorem and the solid lines are UrQMD calculations.

Centrality dependence of second-order off-diagonal cumulants of net-proton, net-charge and net-kaon for Au+Au colli-sions at √sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV (left to right) within kinematic range |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. Bars represent statistical errors and boxes show systematic errors. The dashed lines represent scaling predicted by the central limit theorem and the solid lines are UrQMD calculations.

Centrality dependence of second-order off-diagonal cumulants of net-proton, net-charge and net-kaon for Au+Au colli-sions at √sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV (left to right) within kinematic range |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. Bars represent statistical errors and boxes show systematic errors. The dashed lines represent scaling predicted by the central limit theorem and the solid lines are UrQMD calculations.

Centrality dependence of second-order off-diagonal cumulants of net-proton, net-charge and net-kaon for Au+Au colli-sions at √sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV (left to right) within kinematic range |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. Bars represent statistical errors and boxes show systematic errors. The dashed lines represent scaling predicted by the central limit theorem and the solid lines are UrQMD calculations.

Centrality dependence of second-order off-diagonal cumulants of net-proton, net-charge and net-kaon for Au+Au colli-sions at √sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV (left to right) within kinematic range |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. Bars represent statistical errors and boxes show systematic errors. The dashed lines represent scaling predicted by the central limit theorem and the solid lines are UrQMD calculations.

Centrality dependence of second-order off-diagonal cumulants of net-proton, net-charge and net-kaon for Au+Au colli-sions at √sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV (left to right) within kinematic range |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. Bars represent statistical errors and boxes show systematic errors. The dashed lines represent scaling predicted by the central limit theorem and the solid lines are UrQMD calculations.

Centrality dependence of second-order off-diagonal cumulants of net-proton, net-charge and net-kaon for Au+Au colli-sions at √sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV (left to right) within kinematic range |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. Bars represent statistical errors and boxes show systematic errors. The dashed lines represent scaling predicted by the central limit theorem and the solid lines are UrQMD calculations.

Centrality dependence of second-order off-diagonal cumulants of net-proton, net-charge and net-kaon for Au+Au colli-sions at √sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV (left to right) within kinematic range |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. Bars represent statistical errors and boxes show systematic errors. The dashed lines represent scaling predicted by the central limit theorem and the solid lines are UrQMD calculations.

Centrality dependence of second-order off-diagonal cumulants of net-proton, net-charge and net-kaon for Au+Au colli-sions at √sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV (left to right) within kinematic range |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. Bars represent statistical errors and boxes show systematic errors. The dashed lines represent scaling predicted by the central limit theorem and the solid lines are UrQMD calculations.

Centrality dependence of second-order off-diagonal to diagonal cumulants ratios of net-proton, identified net-charge and net-kaon for Au+Au collisions at √sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV (left to right) within the kinematic range |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. Bars represent statistical errors and boxes show systematic errors. The solid lines represent the UrQMD calculations.

Centrality dependence of second-order off-diagonal to diagonal cumulants ratios of net-proton, identified net-charge and net-kaon for Au+Au collisions at √sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV (left to right) within the kinematic range |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. Bars represent statistical errors and boxes show systematic errors. The solid lines represent the UrQMD calculations.

Centrality dependence of second-order off-diagonal to diagonal cumulants ratios of net-proton, identified net-charge and net-kaon for Au+Au collisions at √sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV (left to right) within the kinematic range |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. Bars represent statistical errors and boxes show systematic errors. The solid lines represent the UrQMD calculations.

Centrality dependence of second-order off-diagonal to diagonal cumulants ratios of net-proton, identified net-charge and net-kaon for Au+Au collisions at √sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV (left to right) within the kinematic range |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. Bars represent statistical errors and boxes show systematic errors. The solid lines represent the UrQMD calculations.

Centrality dependence of second-order off-diagonal to diagonal cumulants ratios of net-proton, identified net-charge and net-kaon for Au+Au collisions at √sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV (left to right) within the kinematic range |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. Bars represent statistical errors and boxes show systematic errors. The solid lines represent the UrQMD calculations.

Centrality dependence of second-order off-diagonal to diagonal cumulants ratios of net-proton, identified net-charge and net-kaon for Au+Au collisions at √sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV (left to right) within the kinematic range |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. Bars represent statistical errors and boxes show systematic errors. The solid lines represent the UrQMD calculations.

Centrality dependence of second-order off-diagonal to diagonal cumulants ratios of net-proton, identified net-charge and net-kaon for Au+Au collisions at √sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV (left to right) within the kinematic range |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. Bars represent statistical errors and boxes show systematic errors. The solid lines represent the UrQMD calculations.

Centrality dependence of second-order off-diagonal to diagonal cumulants ratios of net-proton, identified net-charge and net-kaon for Au+Au collisions at √sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV (left to right) within the kinematic range |η| < 0.5 and 0.4 < pT < 1.6 GeV/c. Bars represent statistical errors and boxes show systematic errors. The solid lines represent the UrQMD calculations.

Beam energy dependence of cumulant ratios (Cp,k,CQ,k and CQ,p; top to bottom) of net-proton, net-kaon and identified net-charge for Au+Au collisions at sNN = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV. The bands denote the UrQMD calculations for 0-5% and 70-80% central collisions and the HRG values are denoted by red dotted lines. The Poisson baseline is denoted by black dashed lines. Bars show statistical errors and boxes show systematic errors.

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.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{+}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, and 39 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $p$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{+}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $p$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{+}$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{p}$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{-}$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{p}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, and 39 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{-}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{p}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{-}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{p}$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{-}$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\pi^{+}$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K_0^s$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\pi^{+}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, and 39 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K_0^s$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\pi^{+}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K_0^s$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\pi^{+}$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K_0^s$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\pi^{-}$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\Lambda$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\pi^{-}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, and 39 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\Lambda$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\pi^{-}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\Lambda$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\pi^{-}$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\Lambda$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{+}$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{\Lambda}$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{+}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, and 39 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{\Lambda}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{+}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{\Lambda}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{+}$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{\Lambda}$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{-}$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{-}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 11.5, 14.5, 19.6, 27, 39 and 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{-}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K^{-}$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K_0^s$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 11.5, 14.5, 19.6, 27, 39 and 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K_0^s$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K_0^s$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $K_0^s$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 11.5, 14.5, 19.6, 27, 39 and 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\Lambda$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\Lambda$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, and 200 GeV.

Directed flow slope $dv_1/dy$ as a function of beam energy in 10%–40% central Au+Au collisions.

Directed flow $v_1$ as a function of rapidity $y$ for $\Lambda$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 GeV.

Directed flow slope $dv_1/dy$ as a function of beam energy in 10%–40% central Au+Au collisions.

Directed flow $v_1$ as a function of rapidity $y$ for $\Lambda$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow slope $dv_1/dy$ as a function of beam energy in 10%–40% central Au+Au collisions.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{\Lambda}$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow slope $dv_1/dy$ as a function of beam energy in 10%–40% central Au+Au collisions.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{\Lambda}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{\Lambda}$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\bar{\Lambda}$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 11.5, 14.5, 19.6, 27, 39 and 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 5%–10% central Au+Au collisions at $\sqrt{s_{NN}} =$ 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 11.5, 14.5, 19.6, 27, 39 and 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 10%–40% central Au+Au collisions at $\sqrt{s_{NN}} =$ 200 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 11.5, 14.5, 19.6, 27, 39 and 62.4 GeV.

Directed flow $v_1$ as a function of rapidity $y$ for $\phi$ in 40%–80% central Au+Au collisions at $\sqrt{s_{NN}} =$ 200 GeV.

Directed flow slope $dv_1/dy$ as a function of beam energy in 10%–40% central Au+Au collisions.

Directed flow slope $dv_1/dy$ as a function of beam energy in 10%–40% central Au+Au collisions.

Directed flow slope $dv_1/dy$ as a function of beam energy in 10%–40% central Au+Au collisions.

Directed flow slope $dv_1/dy$ as a function of beam energy in 10%–40% central Au+Au collisions.

Identified particle (Kaon Plus) RCP for RHIC BES energies. The colored shaded boxes describe the point-to-point systematic uncertainties. The uncertainty bands at unity on the right side of the plot correspond to the pT -independent uncertainty in Ncoll scaling with the color in the band corresponding to the color of the data points for that energy.

Identified particle (Kaon Minus) RCP for RHIC BES energies. The colored shaded boxes describe the point-to-point systematic uncertainties. The uncertainty bands at unity on the right side of the plot correspond to the pT -independent uncertainty in Ncoll scaling with the color in the band corresponding to the color of the data points for that energy.

Identified particle (Proton) RCP for RHIC BES energies. The colored shaded boxes describe the point-to-point systematic uncertainties. The uncertainty bands at unity on the right side of the plot correspond to the pT -independent uncertainty in Ncoll scaling with the color in the band corresponding to the color of the data points for that energy.

Identified particle (Antiproton) RCP for RHIC BES energies. The colored shaded boxes describe the point-to-point systematic uncertainties. The uncertainty bands at unity on the right side of the plot correspond to the pT -independent uncertainty in Ncoll scaling with the color in the band corresponding to the color of the data points for that energy.

Charged hadron Y(<Npart>) for two ranges of pT (pT 3.0 - 3.5 GeV/c). Statistical uncertainty bars are included, mostly smaller than point size, as well as shaded bands to indicate systematic uncertainties.

Charged hadron Y(<Npart>) for two ranges of pT (pT 4.0 - 4.5 GeV/c). Statistical uncertainty bars are included, mostly smaller than point size, as well as shaded bands to indicate systematic uncertainties.

Glauber Fit Parameters

Nch at each Collision Energy (GeV)

Ncoll at each Collision Energy (GeV)

Npart at each Collision Energy (GeV)

The value of $\sigma^{NN}_{inel}$ used in the Monte Carlo Glauber simulation at each collision energy

Charged hadron $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 7.7 GeV/c

Charged hadron $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 7.7 GeV/c

Charged hadron $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 11.5 GeV/c

Charged hadron $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 11.5 GeV/c

Charged hadron $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

Charged hadron $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

Charged hadron $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 19.6 GeV/c

Charged hadron $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 19.6 GeV/c

Charged hadron $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 27 GeV/c

Charged hadron $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 27 GeV/c

Charged hadron $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 39 GeV/c

Charged hadron $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 39 GeV/c

Charged hadron $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 62.4 GeV/c

Charged hadron $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 62.4 GeV/c

$\\p$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 7.7 GeV/c

$\\p$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 7.7 GeV/c

$\\p$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 11.5 GeV/c

$\\p$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 11.5 GeV/c

$\\p$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

$\\p$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

$\\p$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

$\\p$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 19.6 GeV/c

$\\p$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 19.6 GeV/c

$\\p$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 27 GeV/c

$\\p$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 27 GeV/c

$\\p$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 39 GeV/c

$\\p$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 39 GeV/c

$\\p$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 62.4 GeV/c

$\\p$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 62.4 GeV/c

$\overline{p}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 7.7 GeV/c

$\overline{p}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 7.7 GeV/c

$\overline{p}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 11.5 GeV/c

$\overline{p}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 11.5 GeV/c

$\overline{p}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

$\overline{p}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

$\overline{p}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

$\overline{p}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 19.6 GeV/c

$\overline{p}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 19.6 GeV/c

$\overline{p}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 27 GeV/c

$\overline{p}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 27 GeV/c

$\overline{p}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 39 GeV/c

$\overline{p}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 39 GeV/c

$\overline{p}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 62.4 GeV/c

$\overline{p}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 62.4 GeV/c

$K^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 7.7 GeV/c

$K^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 7.7 GeV/c

$K^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 11.5 GeV/c

$K^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 11.5 GeV/c

$K^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

$K^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

$K^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

$K^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 19.6 GeV/c

$K^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 19.6 GeV/c

$K^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 27 GeV/c

$K^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 27 GeV/c

$K^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 39 GeV/c

$K^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 39 GeV/c

$K^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 62.4 GeV/c

$K^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 62.4 GeV/c

$K^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 7.7 GeV/c

$K^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 7.7 GeV/c

$K^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 11.5 GeV/c

$K^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 11.5 GeV/c

$K^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

$K^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

$K^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

$K^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 19.6 GeV/c

$K^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 19.6 GeV/c

$K^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 27 GeV/c

$K^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 27 GeV/c

$K^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 39 GeV/c

$K^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 39 GeV/c

$K^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 62.4 GeV/c

$K^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 62.4 GeV/c

$\pi^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 7.7 GeV/c

$\pi^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 7.7 GeV/c

$\pi^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 11.5 GeV/c

$\pi^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 11.5 GeV/c

$\pi^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

$\pi^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

$\pi^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

$\pi^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 19.6 GeV/c

$\pi^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 19.6 GeV/c

$\pi^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 27 GeV/c

$\pi^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 27 GeV/c

$\pi^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 39 GeV/c

$\pi^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 39 GeV/c

$\pi^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 62.4 GeV/c

$\pi^{+}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 62.4 GeV/c

$\pi^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 7.7 GeV/c

$\pi^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 7.7 GeV/c

$\pi^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 11.5 GeV/c

$\pi^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 11.5 GeV/c

$\pi^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

$\pi^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

$\pi^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 14.5 GeV/c

$\pi^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 19.6 GeV/c

$\pi^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 19.6 GeV/c

$\pi^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 27 GeV/c

$\pi^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 27 GeV/c

$\pi^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 39 GeV/c

$\pi^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 39 GeV/c

$\pi^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 62.4 GeV/c

$\pi^{-}$ $\frac{1}{2\pi p_{T}}$ * $\frac{d^{2}N}{d\eta dp_{T}}$ $\pm$ stat. $\pm$ sys. $(GeV/c)^{-2}$ for $\sqrt{s_{NN}}$ = 62.4 GeV/c

J/psi RCP results (with respect to 40−60% peripheral) for Au+Au collisions (39, 62.4 and 200 GeV) as a function of Npart.

J/psi RCP results for Au+Au collisions (39, 62.4 and 200 GeV) as a function of Npart.

J/psi RCP results for Au+Au collisions (39, 62.4 and 200 GeV) as a function of pT.

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.

The balance function in terms of $\Delta \eta$ for all charged particles with $0.2 < p_{T} < 2.0$ GeV/$c$ from central Au+Au collisions (0-5%) for $\sqrt{s_{NN}}=27$ GeV. The data are the measured balance functions corrected by subtracting balance functions calculated using mixed events. Also shown are balance functions calculated using shuffled events.

The balance function in terms of $\Delta \eta$ for all charged particles with $0.2 < p_{T} < 2.0$ GeV/$c$ from central Au+Au collisions (0-5%) for $\sqrt{s_{NN}}=39$ GeV. The data are the measured balance functions corrected by subtracting balance functions calculated using mixed events. Also shown are balance functions calculated using shuffled events.

The balance function in terms of $\Delta \eta$ for all charged particles with $0.2 < p_{T} < 2.0$ GeV/$c$ from central Au+Au collisions (0-5%) for $\sqrt{s_{NN}}=62.4$ GeV. The data are the measured balance functions corrected by subtracting balance functions calculated using mixed events. Also shown are balance functions calculated using shuffled events.

The balance function in terms of $\Delta \eta$ for all charged particles with $0.2 < p_{T} < 2.0$ GeV/$c$ from central Au+Au collisions (0-5%) for $\sqrt{s_{NN}}=200$ GeV. The data are the measured balance functions corrected by subtracting balance functions calculated using mixed events. Also shown are balance functions calculated using shuffled events.

Energy dependence of the balance function widths compared with the widths of the balance functions calculated using shuffled events. Also shown are the balance function widths calculated using UrQMD. The dashed line represents the width of the balance function calculated using shuffled events for a constant $dN/d\eta$ distribution. Error bars represent the statistical error and the shaded bands represent the systematic error.

Energy dependence of the balance function widths compared with the widths of the balance functions calculated using shuffled events. Also shown are the balance function widths calculated using UrQMD. The dashed line represents the width of the balance function calculated using shuffled events for a constant $dN/d\eta$ distribution. Error bars represent the statistical error and the shaded bands represent the systematic error.

Energy dependence of the balance function widths compared with the widths of the balance functions calculated using shuffled events. Also shown are the balance function widths calculated using UrQMD. The dashed line represents the width of the balance function calculated using shuffled events for a constant $dN/d\eta$ distribution. Error bars represent the statistical error and the shaded bands represent the systematic error.

Energy dependence of the balance function widths compared with the widths of the balance functions calculated using shuffled events. Also shown are the balance function widths calculated using UrQMD. The dashed line represents the width of the balance function calculated using shuffled events for a constant $dN/d\eta$ distribution. Error bars represent the statistical error and the shaded bands represent the systematic error.

Energy dependence of the balance function widths compared with the widths of the balance functions calculated using shuffled events. Also shown are the balance function widths calculated using UrQMD. The dashed line represents the width of the balance function calculated using shuffled events for a constant $dN/d\eta$ distribution. Error bars represent the statistical error and the shaded bands represent the systematic error.

Energy dependence of the balance function widths compared with the widths of the balance functions calculated using shuffled events. Also shown are the balance function widths calculated using UrQMD. The dashed line represents the width of the balance function calculated using shuffled events for a constant $dN/d\eta$ distribution. Error bars represent the statistical error and the shaded bands represent the systematic error.

Energy dependence of the balance function widths compared with the widths of the balance functions calculated using shuffled events. Also shown are the balance function widths calculated using UrQMD. The dashed line represents the width of the balance function calculated using shuffled events for a constant $dN/d\eta$ distribution. Error bars represent the statistical error and the shaded bands represent the systematic error.

Balance function widths for the most central events ($0-5\%$) compared with balance function widths calculated using shuffled events. Also shown are balance function widths calculated using UrQMD and shuffled UrQMD events. The dashed line represents the width of the balance function calculated using shuffled events for a constant $dN/d\eta$ distribution.

Acceptance-corrected balance function widths for Au+Au measured over the range $0.1 < \Delta \eta < 1.6$ compared with similar results from Pb+Pb collisions from ALICE. Only statistical errors are shown. Lines represent fits of the form $a + b(N_{part})^{0.01}$.

Acceptance-corrected balance function widths for Au+Au measured over the range $0.1 < \Delta \eta < 1.6$ compared with similar results from Pb+Pb collisions from ALICE. Only statistical errors are shown. Lines represent fits of the form $a + b(N_{part})^{0.01}$.

Acceptance-corrected balance function widths for Au+Au measured over the range $0.1 < \Delta \eta < 1.6$ compared with similar results from Pb+Pb collisions from ALICE. Only statistical errors are shown. Lines represent fits of the form $a + b(N_{part})^{0.01}$.

Acceptance-corrected balance function widths for Au+Au measured over the range $0.1 < \Delta \eta < 1.6$ compared with similar results from Pb+Pb collisions from ALICE. Only statistical errors are shown. Lines represent fits of the form $a + b(N_{part})^{0.01}$.

Acceptance-corrected balance function widths for Au+Au measured over the range $0.1 < \Delta \eta < 1.6$ compared with similar results from Pb+Pb collisions from ALICE. Only statistical errors are shown. Lines represent fits of the form $a + b(N_{part})^{0.01}$.

Acceptance-corrected balance function widths for Au+Au measured over the range $0.1 < \Delta \eta < 1.6$ compared with similar results from Pb+Pb collisions from ALICE. Only statistical errors are shown. Lines represent fits of the form $a + b(N_{part})^{0.01}$.

Acceptance-corrected balance function widths for Au+Au measured over the range $0.1 < \Delta \eta < 1.6$ compared with similar results from Pb+Pb collisions from ALICE. Only statistical errors are shown. Lines represent fits of the form $a + b(N_{part})^{0.01}$.

Acceptance-corrected balance function widths for Au+Au measured over the range $0.1 < \Delta \eta < 1.6$ compared with similar results from Pb+Pb collisions from ALICE. Only statistical errors are shown. Lines represent fits of the form $a + b(N_{part})^{0.01}$.

Acceptance-corrected balance function widths for Au+Au measured over the range $0.1 < \Delta \eta < 1.6$ normalized to the most peripheral centrality bin compared with similar results from Pb+Pb collisions from ALICE. Only statistical errors are shown. Lines represent fits of the form $a + b(N_{part})^{0.01}$.

Acceptance-corrected balance function widths for Au+Au measured over the range $0.1 < \Delta \eta < 1.6$ normalized to the most peripheral centrality bin compared with similar results from Pb+Pb collisions from ALICE. Only statistical errors are shown. Lines represent fits of the form $a + b(N_{part})^{0.01}$.

Acceptance-corrected balance function widths for Au+Au measured over the range $0.1 < \Delta \eta < 1.6$ normalized to the most peripheral centrality bin compared with similar results from Pb+Pb collisions from ALICE. Only statistical errors are shown. Lines represent fits of the form $a + b(N_{part})^{0.01}$.

Acceptance-corrected balance function widths for Au+Au measured over the range $0.1 < \Delta \eta < 1.6$ normalized to the most peripheral centrality bin compared with similar results from Pb+Pb collisions from ALICE. Only statistical errors are shown. Lines represent fits of the form $a + b(N_{part})^{0.01}$.

Acceptance-corrected balance function widths for Au+Au measured over the range $0.1 < \Delta \eta < 1.6$ normalized to the most peripheral centrality bin compared with similar results from Pb+Pb collisions from ALICE. Only statistical errors are shown. Lines represent fits of the form $a + b(N_{part})^{0.01}$.

Acceptance-corrected balance function widths for Au+Au measured over the range $0.1 < \Delta \eta < 1.6$ normalized to the most peripheral centrality bin compared with similar results from Pb+Pb collisions from ALICE. Only statistical errors are shown. Lines represent fits of the form $a + b(N_{part})^{0.01}$.

Acceptance-corrected balance function widths for Au+Au measured over the range $0.1 < \Delta \eta < 1.6$ normalized to the most peripheral centrality bin compared with similar results from Pb+Pb collisions from ALICE. Only statistical errors are shown. Lines represent fits of the form $a + b(N_{part})^{0.01}$.

Acceptance-corrected balance function widths for Au+Au measured over the range $0.1 < \Delta \eta < 1.6$ normalized to the most peripheral centrality bin compared with similar results from Pb+Pb collisions from ALICE. Only statistical errors are shown. Lines represent fits of the form $a + b(N_{part})^{0.01}$.

The acceptance-corrected excess dielectron mass spectra, normalized to the charged particle multiplicity at mid-rapidity dNch/dy, in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV. The dNch/dy values in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV are from Ref. [38]. The normalization uncertainty from the STAR measured dN/dy is about 10%, which is not shown in the table.

The acceptance-corrected excess dielectron mass spectra, normalized to the charged particle multiplicity at mid-rapidity dNch/dy, in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The dNch/dy values in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV are from Ref. [39]. The normalization uncertainty from the STAR measured dN/dy is about 10%, which is not shown in the table.

Integrated yields of the normalized dilepton excesses for 0.4 < $M^{ll}$ < 0.75 GeV/c$^2$ as a function of dNch/dy. From top to bottom: 0-80% Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV, then 0-10%, 10-40%, 40-80% and 0-80% Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV.

Signal-to-background (S/B) ratio as a function of transverse momentum, Au+Au 62.4 GeV, 0-60% central events with minimum bias trigger

Inclusive electron elliptic flow v2\{2\} as a function of transverse momentum, Au+Au 200 GeV, 0-60% central events with minimum bias trigger

Inclusive electron elliptic flow v2\{4\} as a function of transverse momentum, Au+Au 200 GeV, 0-60% central events with minimum bias trigger

Inclusive electron elliptic flow v2\{2\} as a function of transverse momentum, Au+Au 39 GeV, 0-60% central events with minimum bias trigger

Inclusive electron elliptic flow v2\{2\} as a function of transverse momentum, Au+Au 62.4 GeV, 0-60% central events with minimum bias trigger

Inclusive electron elliptic flow v2\{2\} as a function of transverse momentum, Au+Au 200 GeV, 0-60% central events with High Tower (high pT) trigger

Photonic electron elliptic flow v2 as a function of transverse momentum, Au+Au 39 GeV, 0-60% central events with minimum bias trigger

Photonic electron elliptic flow v2 as a function of transverse momentum, Au+Au 62.4 GeV, 0-60% central events with minimum bias trigger

Photonic electron elliptic flow v2 as a function of transverse momentum, Au+Au 200 GeV, 0-60% central events with minimum bias trigger

Elliptic flow v2\{2\} of electrons from heavy-flavor hadron decays, Au+Au 200 GeV, 0-60% central events with minimum bias trigger

Elliptic flow v2\{4\} of electrons from heavy-flavor hadron decays, Au+Au 200 GeV, 0-60% central events with minimum bias trigger

Elliptic flow v2\{2\} of electrons from heavy-flavor hadron decays, Au+Au 200 GeV, 0-60% central events with High Tower (high pT) trigger

Elliptic flow v2\{EP\} of electrons from heavy-flavor hadron decays, Au+Au 200 GeV, 0-60% central events with High Tower (high pT) trigger

Elliptic flow v2\{2\} of electrons from heavy-flavor hadron decays, Au+Au 39 GeV, 0-60% central events with minimum bias trigger

Elliptic flow v2\{2}\ of electrons from heavy-flavor hadron decays, Au+Au 62.4 GeV, 0-60% central events with minimum bias trigger

$\Delta N_p$ multiplicity distributions in Au+Au collisions at $\sqrt{S_{NN}}=27$ GeV for 0-5 percent, 30-40 percent and 70-80 percent collision centralities at midrapidity.

$\Delta N_p$ multiplicity distributions in Au+Au collisions at $\sqrt{S_{NN}}=39$ GeV for 0-5 percent, 30-40 percent and 70-80 percent collision centralities at midrapidity.

$\Delta N_p$ multiplicity distributions in Au+Au collisions at $\sqrt{S_{NN}}=62.4$ GeV for 0-5 percent, 30-40 percent and 70-80 percent collision centralities at midrapidity.

$\Delta N_p$ multiplicity distributions in Au+Au collisions at $\sqrt{S_{NN}}=200$ GeV for 0-5 percent, 30-40 percent and 70-80 percent collision centralities at midrapidity.

Centrality dependence of the cumulants of $\Delta N_p$ distributions for Au+Au collisions at $\sqrt{S_{NN}}=7.7$ GeV.

Centrality dependence of the cumulants of $\Delta N_p$ distributions for Au+Au collisions at $\sqrt{S_{NN}}=11.5$ GeV.

Centrality dependence of the cumulants of $\Delta N_p$ distributions for Au+Au collisions at $\sqrt{S_{NN}}=19.6$ GeV.

Centrality dependence of the cumulants of $\Delta N_p$ distributions for Au+Au collisions at $\sqrt{S_{NN}}=27$ GeV.

Centrality dependence of the cumulants of $\Delta N_p$ distributions for Au+Au collisions at $\sqrt{S_{NN}}=39$ GeV.

Centrality dependence of the cumulants of $\Delta N_p$ distributions for Au+Au collisions at $\sqrt{S_{NN}}=62.4$ GeV.

Centrality dependence of the cumulants of $\Delta N_p$ distributions for Au+Au collisions at $\sqrt{S_{NN}}=200$ GeV.

Centrality dependence of $S\sigma$/Skellam and $\kappa\sigma^2$ for $\Delta N_p$ in Au+Au collisions at $\sqrt{S_{NN}}=7.7$ GeV.

Centrality dependence of $S\sigma$/Skellam and $\kappa\sigma^2$ for $\Delta N_p$ in Au+Au collisions at $\sqrt{S_{NN}}=11.5$ GeV.

Centrality dependence of $S\sigma$/Skellam and $\kappa\sigma^2$ for $\Delta N_p$ in Au+Au collisions at $\sqrt{S_{NN}}=19.6$ GeV.

Centrality dependence of $S\sigma$/Skellam and $\kappa\sigma^2$ for $\Delta N_p$ in Au+Au collisions at $\sqrt{S_{NN}}=27$ GeV.

Centrality dependence of $S\sigma$/Skellam and $\kappa\sigma^2$ for $\Delta N_p$ in Au+Au collisions at $\sqrt{S_{NN}}=39$ GeV.

Centrality dependence of $S\sigma$/Skellam and $\kappa\sigma^2$ for $\Delta N_p$ in Au+Au collisions at $\sqrt{S_{NN}}=62.4$ GeV.

Centrality dependence of $S\sigma$/Skellam and $\kappa\sigma^2$ for $\Delta N_p$ in Au+Au collisions at $\sqrt{S_{NN}}=200$ GeV.

Collision energy and centrality dependence of the net-proton $S\sigma$ and $\kappa\sigma^2$ from Au+Au and p+p collisions at RHIC.

Collision energy and centrality dependence of the net-proton $S\sigma$ and $\kappa\sigma^2$ from Au+Au and p+p collisions at RHIC.

Collision energy and centrality dependence of the net-proton $S\sigma$ and $\kappa\sigma^2$ from Au+Au and p+p collisions at RHIC.

Collision energy and centrality dependence of the net-proton $S\sigma$ and $\kappa\sigma^2$ from Au+Au and p+p collisions at RHIC.

Cumulants of net-proton distribution at $\sqrt{S_{NN}}=7.7$ GeV. (efficiency corrected).

Cumulants of net-proton distribution at $\sqrt{S_{NN}}=11.5$ GeV. (efficiency corrected).

Cumulants of net-proton distribution at $\sqrt{S_{NN}}=19.6$ GeV. (efficiency corrected).

Cumulants of net-proton distribution at $\sqrt{S_{NN}}=27$ GeV. (efficiency corrected).

Cumulants of net-proton distribution at $\sqrt{S_{NN}}=39$ GeV. (efficiency corrected).

Cumulants of net-proton distribution at $\sqrt{S_{NN}}=62.4$ GeV. (efficiency corrected).

Cumulants of net-proton distribution at $\sqrt{S_{NN}}=200$ GeV. (efficiency corrected).

Cumulants of proton distribution at $\sqrt{S_{NN}}=7.7$ GeV. (efficiency corrected).

Cumulants of proton distribution at $\sqrt{S_{NN}}=11.5$ GeV. (efficiency corrected).

Cumulants of proton distribution at $\sqrt{S_{NN}}=19.6$ GeV. (efficiency corrected).

Cumulants of proton distribution at $\sqrt{S_{NN}}=27$ GeV. (efficiency corrected).

Cumulants of proton distribution at $\sqrt{S_{NN}}=39$ GeV. (efficiency corrected).

Cumulants of proton distribution at $\sqrt{S_{NN}}=62.4$ GeV. (efficiency corrected).

Cumulants of proton distribution at $\sqrt{S_{NN}}=200$ GeV. (efficiency corrected).

Cumulants of anti-proton distribution at $\sqrt{S_{NN}}=7.7$ GeV. (efficiency corrected).

Cumulants of anti-proton distribution at $\sqrt{S_{NN}}=11.5$ GeV. (efficiency corrected).

Cumulants of anti-proton distribution at $\sqrt{S_{NN}}=19.6$ GeV. (efficiency corrected).

Cumulants of anti-proton distribution at $\sqrt{S_{NN}}=27$ GeV. (efficiency corrected).

Cumulants of anti-proton distribution at $\sqrt{S_{NN}}=39$ GeV. (efficiency corrected).

Cumulants of anti-proton distribution at $\sqrt{S_{NN}}=62.4$ GeV. (efficiency corrected).

Cumulants of anti-proton distribution at $\sqrt{S_{NN}}=200$ GeV. (efficiency corrected).

Jet fractions using the JADE algorithm as a function of the jet resolution parameter YCUT at c.m. energy 172.3 GeV.

Jet fractions using the JADE algorithm as a function of the jet resolution parameter YCUT at c.m. energy 182.8 GeV.

Jet fractions using the JADE algorithm as a function of the jet resolution parameter YCUT at c.m. energy 188.6 GeV.

Jet fractions using the JADE algorithm as a function of the jet resolution parameter YCUT at c.m. energy 194.4 GeV.

Jet fractions using the JADE algorithm as a function of the jet resolution parameter YCUT at c.m. energy 200.2 GeV.

Jet fractions using the JADE algorithm as a function of the jet resolution parameter YCUT at c.m. energy 206.2 GeV.

Jet fractions using the KT(Durham) algorithm as a function of the jet resolution parameter YCUT at c.m. energy 130.1 GeV.

Jet fractions using the KT(Durham) algorithm as a function of the jet resolution parameter YCUT at c.m. energy 136.1 GeV.

Jet fractions using the KT(Durham) algorithm as a function of the jet resolution parameter YCUT at c.m. energy 161.3 GeV.

Jet fractions using the KT(Durham) algorithm as a function of the jet resolution parameter YCUT at c.m. energy 172.3 GeV.

Jet fractions using the KT(Durham) algorithm as a function of the jet resolution parameter YCUT at c.m. energy 182.8 GeV.

Jet fractions using the KT(Durham) algorithm as a function of the jet resolution parameter YCUT at c.m. energy 188.6 GeV.

Jet fractions using the KT(Durham) algorithm as a function of the jet resolution parameter YCUT at c.m. energy 194.4 GeV.

Jet fractions using the KT(Durham) algorithm as a function of the jet resolution parameter YCUT at c.m. energy 200.2 GeV.

Jet fractions using the KT(Durham) algorithm as a function of the jet resolution parameter YCUT at c.m. energy 206.2 GeV.

Jet fractions using the Cambridge algorithm as a function of the jet resolution parameter YCUT at c.m. energy 202.2 GeV.

Jet fractions using the Cambridge algorithm as a function of the jet resolution parameter YCUT at c.m. energy 206.2 GeV.

Differential distributions for event thrust.

Differential distributions for event thrust.

Differential distributions for event thrust.

Differential distributions for event thrust.

Differential distributions for event thrust.

Differential distributions for the scaled heavy jet mass (RHO(C=HEAVY)).

Differential distributions for the scaled heavy jet mass (RHO(C=HEAVY)).

Differential distributions for the scaled heavy jet mass (RHO(C=HEAVY)).

Differential distributions for the scaled heavy jet mass (RHO(C=HEAVY)).

Differential distributions for the scaled heavy jet mass (RHO(C=HEAVY)).

Differential distributions for total jet broadening (BT).

Differential distributions for total jet broadening (BT).

Differential distributions for total jet broadening (BT).

Differential distributions for total jet broadening (BT).

Differential distributions for total jet broadening (BT).

Differential distributions for wide jet broadening (BW).

Differential distributions for wide jet broadening (BW).

Differential distributions for wide jet broadening (BW).

Differential distributions for wide jet broadening (BW).

Differential distributions for wide jet broadening (BW).

Differential distributions for the C-Parameter.

Differential distributions for the C-Parameter.

Differential distributions for the C-Parameter.

Differential distributions for the D-Parameter.

Differential distributions for the D-Parameter.

Differential distributions for the D-Parameter.

Differential distributions for the THRUST at c.m. energy 91.2 GeV for light quark (udsc) and b quark events.

Differential distributions for the RHO(C=HEAVY) at c.m. energy 91.2 GeV forlight quark (udsc) and b quark events.

Differential distributions for the BT at c.m. energy 91.2 GeV for light quark (udsc) and b quark events.

Differential distributions for the BW at c.m. energy 91.2 GeV for light quark (udsc) and b quark events.

Differential distributions for the C-PARAM at c.m. energy 91.2 GeV for light quark (udsc) and b quark events.

Differential distributions for the D-PARAM at c.m. energy 91.2 GeV for light quark (udsc) and b quark events.

Mean values (first moment) and dispersion (second moment) of the THRUST distribution as a function of c.m. energy.

Mean values (first moment) and dispersion (second moment) of the scaled heavy jet mass (RHO(C=HEAVY)) as a function of c.m. energy.

Mean values (first moment) and dispersion (second moment) of the total jet broadening (BT) as a function of c.m. energy.

Mean values (first moment) and dispersion (second moment) of the wide jet broadening (BW) as a function of c.m. energy.

Mean values (first moment) and dispersion (second moment) of the C-PARAM as a function of c.m. energy.

Mean values (first moment) and dispersion (second moment) of the D-PARAM as a function of c.m. energy.

Charged particle multiplicities at c.m. energy 91.2 GeV for all flavour, light quark (udsc) and bottom (b) flavour events.

Charged particle multiplicity.

Charged particle multiplicity.

Charged particle multiplicity.

First and second moment of the charged particle multiplicity distribution at c.m. energy 91.2 GeV for all flavours and for udsc an b flavours.

First and second moment of the charged particle multiplicity distribution at c.m. energy.

Distribution of LN(1/X) at c.m. energy 91.2 GeV.

Distribution of LN(1/X) at higher c.m. energies.

Distribution of LN(1/X) at higher c.m. energies.

Distribution of LN(1/X) at higher c.m. energies.

Cross sections as a function of W for the lower Q**2, Z pole, data.

Cross sections as a function of W for the high Q**2 data.

Cross sections for the two photon RHO0 RHO0 and non-resonance data for the lower Q**2, Z pole, data.

Cross sections for the two photon RHO0 RHO0 and non-resonance data for the higher Q**2 data.

The mean values of the five event shape variable distributions.

The corrected distributions of (1-TRUST).

The corrected distributions for the scaled heavy jet mass, RHO.

The corrected distributions for the total jet broadening, BT.

The corrected distributions for the wide jet broadening, BW.

The corrected distributions for the C-parameter, C-PARAM.

Moments of the charged particle multiplicity distribution without KOS and LAMBDA decay for light quark events.

Moments of the charged particle multiplicity distribution with KOS and LAMBDA decay for b-quark events.

Moments of the charged particle multiplicity distribution without KOS and LAMBDA decay for b-quark events.

Cross section as a function of W for exclusive OMEGA production.

Cross section measuremennt for exclusive OMEGA and RHO0 at 3 Q**2 values. The ratios at Q**2 ~ 0 were calculated using the OMEGA cross sections at W = 80 GeV (ZP C73,73) and RHO0 cross section at 75 GeV (EPJ C2,247). The higher Q**2 are for W = 70 GeV. The RHO0 cross sections at high Q**2 are from EPJ C6,603.

Ratio of cross sections for exclusive OMEGA and RHO0 for 3 Q**2 values. See comments in previous table for the origin of the data points.