Data from Figure 2, panel b, U+U, 0-0.5% Centrality, 0.2<p_{T}<3 GeV/c

Data from Figure 3, panel a, 0.2<p_{T}<3 GeV/c

Data from Figure 3, panel b, 0.2<p_{T}<3 GeV/c

Data from Figure 3, panel c, 0.2<p_{T}<3 GeV/c

Data from Figure 3, panel d, 0-5% Centrality, 0.2<p_{T}<3 GeV/c

Data from Figure 3, panel e, 0-5% Centrality, 0.2<p_{T}<3 GeV/c

Data from Figure 3, panel f, 0-5% Centrality, 0.2<p_{T}<3 GeV/c

Data from Figure 4, panel a, Au+Au, 2subevent method, 0.2<p_{T}<3 GeV/c

Data from Figure 4, panel a, U+U, 2subevent method, 0.2<p_{T}<3 GeV/c

Data from Figure 4, panel b, Au+Au, 0.2<p_{T}<3 GeV/c

Data from Figure 4, panel b, U+U, 0.2<p_{T}<3 GeV/c

Data from Figure 4, panel c, Au+Au, 0.2<p_{T}<3 GeV/c

Data from Figure 4, panel c, U+U, 0.2<p_{T}<3 GeV/c

Data from Figure 4, panel d, Au+Au, 0.2<p_{T}<3 GeV/c

Data from Figure 4, panel d, U+U, 0.2<p_{T}<3 GeV/c

Data from Figure 5, panel a, Au+Au, 2subevent method, 0.2<p_{T}<3 GeV/c

Data from Figure 5, panel a, Au+Au, standard method, 0.2<p_{T}<3 GeV/c

Data from Figure 5, panel a, Au+Au, difference, 0.2<p_{T}<3 GeV/c

Data from Figure 5, panel b, Au+Au, 2subevent method, 0.2<p_{T}<3 GeV/c

Data from Figure 5, panel b, Au+Au, standard, 0.2<p_{T}<3 GeV/c

Data from Figure 5, panel b, Au+Au, difference, 0.2<p_{T}<3 GeV/c

Data from Figure 5, panel c, Au+Au, 2subevent method, 0.2<p_{T}<3 GeV/c

Data from Figure 5, panel c, Au+Au, standard, 0.2<p_{T}<3 GeV/c

Data from Figure 5, panel c, Au+Au, difference, 0.2<p_{T}<3 GeV/c

Figure 4a

Figure 4b

Figure 4c

Figure 5a

Figure 5b

Figure 5c

Figure 7

Figure 8a

Figure 8b

Figure 8c

Figure 9a

Figure 9b

Figure 9c

Figure 10a

Figure 10b

Figure 10c

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The centrality dependence of Global $\Lambda$-hyperon Polarization at $\sqrt{s_{\rm NN}}=3$ GeV.

The $p_{\rm T}$ dependence of Global $\Lambda$-hyperon Polarization at $\sqrt{s_{\rm NN}}=3$ GeV.

The rapidity dependence of Global $\Lambda$-hyperon Polarization at $\sqrt{s_{\rm NN}}=3$ GeV.

Midrapidity (|y| < 0.1) transverse momentum spectra for (d) K− in Au+Au collisions at √sNN = 7.7 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (c) K+ in Au+Au collisions at √sNN = 7.7 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (f) p¯ in Au+Au collisions at √sNN = 7.7 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (e) p in Au+Au collisions at √sNN = 7.7 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (b) π− in Au+Au collisions at √sNN = 11.5 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (a) π+ in Au+Au collisions at √sNN = 11.5 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (d) K− in Au+Au collisions at √sNN = 11.5 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (c) K+ in Au+Au collisions at √sNN = 11.5 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (f) p¯ in Au+Au collisions at √sNN = 11.5 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (e) p in Au+Au collisions at √sNN = 11.5 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (b) π− in Au+Au collisions at √sNN = 19.6 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (a) π+ in Au+Au collisions at √sNN = 19.6 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (d) K− in Au+Au collisions at √sNN = 19.6 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (c) K+ in Au+Au collisions at √sNN = 19.6 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (f) p¯ in Au+Au collisions at √sNN = 19.6 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (e) p in Au+Au collisions at √sNN = 19.6 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (b) π− in Au+Au collisions at √sNN = 27 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (a) π+ in Au+Au collisions at √sNN = 27 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (d) K− in Au+Au collisions at √sNN = 27 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (c) K+ in Au+Au collisions at √sNN = 27 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (f) p¯ in Au+Au collisions at √sNN = 27 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (e) p in Au+Au collisions at √sNN = 27 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (b) π− in Au+Au collisions at √sNN = 39 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (a) π+ in Au+Au collisions at √sNN = 39 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (d) k- in Au+Au collisions at √sNN = 39 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (c) k+ in Au+Au collisions at √sNN = 39 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (f) pbar in Au+Au collisions at √sNN = 39 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Midrapidity (|y| < 0.1) transverse momentum spectra for (e) p in Au+Au collisions at √sNN = 39 GeV for different centralities. The spectra for centralities other than 0–5% are scaled for clarity as shown in the figure. The curves represent the Bose-Einstein, mT -exponential, and double-exponential function fits to 0–5% central data for pions, kaons, and (anti)protons, respectively. The uncertainties are statistical and systematic added in quadrature.

Centrality dependence of dN/dy normalized by ⟨Npart⟩/2 for π+, π−, K+, K−, p, and p ̄ at midrapidity (|y|<0.1) in Au+Au collisions at √sNN = 7.7 GeV. Errors shown are the quadrature sum of statistical and systematic uncertainties. For clarity, ⟨Npart⟩ uncertainties are not added in quadrature.

Centrality dependence of dN/dy normalized by ⟨Npart⟩/2 for π+, π−, K+, K−, p, and p ̄ at midrapidity (|y|<0.1) in Au+Au collisions at √sNN = 11.5 GeV. Errors shown are the quadrature sum of statistical and systematic uncertainties. For clarity, ⟨Npart⟩ uncertainties are not added in quadrature.

Centrality dependence of dN/dy normalized by ⟨Npart⟩/2 for π+, π−, K+, K−, p, and p ̄ at midrapidity (|y|<0.1) in Au+Au collisions at √sNN = 19.6 GeV. Errors shown are the quadrature sum of statistical and systematic uncertainties. For clarity, ⟨Npart⟩ uncertainties are not added in quadrature.

Centrality dependence of dN/dy normalized by ⟨Npart⟩/2 for π+, π−, K+, K−, p, and p ̄ at midrapidity (|y|<0.1) in Au+Au collisions at √sNN = 27 GeV. Errors shown are the quadrature sum of statistical and systematic uncertainties. For clarity, ⟨Npart⟩ uncertainties are not added in quadrature.

Centrality dependence of dN/dy normalized by ⟨Npart⟩/2 for π+, π−, K+, K−, p, and p ̄ at midrapidity (|y|<0.1) in Au+Au collisions at √sNN = 39 GeV. Errors shown are the quadrature sum of statistical and systematic uncertainties. For clarity, ⟨Npart⟩ uncertainties are not added in quadrature.

Centrality dependences of <pT> for π+, π−, K+, K−, p, and p ̄ at midrapidity (|y|<0.1) in Au+Au collisions at √sNN = 7.7 GeV. Errors shown are quadrature sum of statistical and systematic uncertainties where the latter dominates.

Centrality dependences of <pT> for π+, π−, K+, K−, p, and p ̄ at midrapidity (|y|<0.1) in Au+Au collisions at √sNN = 11.5 GeV. Errors shown are quadrature sum of statistical and systematic uncertainties where the latter dominates.

Centrality dependences of <pT> for π+, π−, K+, K−, p, and p ̄ at midrapidity (|y|<0.1) in Au+Au collisions at √sNN = 19.6 GeV. Errors shown are quadrature sum of statistical and systematic uncertainties where the latter dominates.

Centrality dependences of <pT> for π+, π−, K+, K−, p, and p ̄ at midrapidity (|y|<0.1) in Au+Au collisions at √sNN = 27 GeV. Errors shown are quadrature sum of statistical and systematic uncertainties where the latter dominates.

Centrality dependences of <pT> for π+, π−, K+, K−, p, and p ̄ at midrapidity (|y|<0.1) in Au+Au collisions at √sNN = 39 GeV. Errors shown are quadrature sum of statistical and systematic uncertainties where the latter dominates.

Variation of π−/π+, K−/K+, and p ̄/p ratios as a function of ⟨Npart⟩ at midrapidity (|y| < 0.1) in Au+Au collisions at 7.7 GeV. Errors shown are the quadrature sum of statistical and systematic uncertainties where the latter dominates.

Variation of π−/π+, K−/K+, and p ̄/p ratios as a function of ⟨Npart⟩ at midrapidity (|y| < 0.1) in Au+Au collisions at 11.5 GeV. Errors shown are the quadrature sum of statistical and systematic uncertainties where the latter dominates.

Variation of π−/π+, K−/K+, and p ̄/p ratios as a function of ⟨Npart⟩ at midrapidity (|y| < 0.1) in Au+Au collisions at 19.6 GeV. Errors shown are the quadrature sum of statistical and systematic uncertainties where the latter dominates.

Variation of π−/π+, K−/K+, and p ̄/p ratios as a function of ⟨Npart⟩ at midrapidity (|y| < 0.1) in Au+Au collisions at 27 GeV. Errors shown are the quadrature sum of statistical and systematic uncertainties where the latter dominates.

Variation of π−/π+, K−/K+, and p ̄/p ratios as a function of ⟨Npart⟩ at midrapidity (|y| < 0.1) in Au+Au collisions at 39 GeV. Errors shown are the quadrature sum of statistical and systematic uncertainties where the latter dominates.

Variation of K−/π−, p ̄/π−, K+/π+, and p/π+ ratios as a function of ⟨Npart⟩ at midrapidity (|y| < 0.1) in Au+Au collisions at 7.7 GeV. Errors shown are the quadrature sum of statistical and systematic uncertainties where the latter dominates.

Variation of K−/π−, p ̄/π−, K+/π+, and p/π+ ratios as a function of ⟨Npart⟩ at midrapidity (|y| < 0.1) in Au+Au collisions at 11.5 GeV. Errors shown are the quadrature sum of statistical and systematic uncertainties where the latter dominates.

Variation of K−/π−, p ̄/π−, K+/π+, and p/π+ ratios as a function of ⟨Npart⟩ at midrapidity (|y| < 0.1) in Au+Au collisions at 19.6 GeV. Errors shown are the quadrature sum of statistical and systematic uncertainties where the latter dominates.

Variation of K−/π−, p ̄/π−, K+/π+, and p/π+ ratios as a function of ⟨Npart⟩ at midrapidity (|y| < 0.1) in Au+Au collisions at 27 GeV. Errors shown are the quadrature sum of statistical and systematic uncertainties where the latter dominates.

Variation of K−/π−, p ̄/π−, K+/π+, and p/π+ ratios as a function of ⟨Npart⟩ at midrapidity (|y| < 0.1) in Au+Au collisions at 39 GeV. Errors shown are the quadrature sum of statistical and systematic uncertainties where the latter dominates.

The midrapidity (|y| < 0.1) dN/dy normalized by ⟨Npart⟩/2 as a function of √sNN for π±, K±, and p and p ̄ in 0–5% Au+Au collisions at BES energies. Errors shown are the quadrature sum of statistical and systematic uncertainties where the latter dominates.

⟨mT⟩ − m of π±, K±, and p and p ̄ as a function of √sNN . Midrapidity (|y| < 0.1) results are shown for 0–5% central Au+Au collisions at BES energies. The errors shown are the quadrature sum of statistical and systematic uncertainties where the latter dominates.

π−/π+, K−/K+, and p ̄/p ratios at midrapidity (|y| < 0.1) in central 0–5% Au+Au collisions at √sNN = 7.7, 11.5, 19.6, 27, and 39 GeV. Errors shown are the quadrature sum of statistical and systematic uncertainties where the latter dominates.

K/π ratio at midrapidity (|y| < 0.1) for central 0–5% Au+Au collisions at √sNN = 7.7, 11.5, 19.6, 27, and 39 GeV. Errors shown are the quadrature sum of statistical and systematic uncertainties where the latter dominates.

The GCE model particle yields fits shown along with standard deviations for Au+Au 7.7 and Au+Au 39 GeV in 0–5% central collisions. Uncertainties on experimental data represent statistical and systematic uncertainties added in quadrature.

The GCE model particle ratios fits shown along with standard deviations for Au+Au 7.7 and Au+Au 39 GeV in 0–5% central collisions. Uncertainties on experimental data represent statistical and systematic uncertainties added in quadrature.

The SCE model particle yields fits shown along with standard deviations for Au+Au 7.7 and Au+Au 39 GeV in 0–5% central collisions. Uncertainties on experimental data represent statistical and systematic uncertainties added in quadrature.

The SCE model particle ratios fits shown along with standard deviations for Au+Au 7.7 and Au+Au 39 GeV in 0–5% central collisions. Uncertainties on experimental data represent statistical and systematic uncertainties added in quadrature.

Chemical freeze-out parameter γS plotted vs ⟨Npart⟩ in GCE for particle yields fit. Uncertainties represent systematic errors.

Chemical freeze-out parameter μB plotted vs ⟨Npart⟩ in GCE for particle yields fit. Uncertainties represent systematic errors.

Chemical freeze-out parameter μS plotted vs ⟨Npart⟩ in GCE for particle yields fit. Uncertainties represent systematic errors.

Chemical freeze-out parameter Tch plotted vs ⟨Npart⟩ in GCE for particle yields fit. Uncertainties represent systematic errors.

Chemical freeze-out parameter R plotted vs ⟨Npart⟩ in GCE for particle yields fit. Uncertainties represent systematic errors.

Ratio of chemical freeze-out parameter γS between results from particle yield fits to particle ratio fits in GCE plotted vs ⟨Npart⟩. Uncertainties represent systematic errors.

Ratio of chemical freeze-out parameter μB between results from particle yield fits to particle ratio fits in GCE plotted vs ⟨Npart⟩. Uncertainties represent systematic errors.

Ratio of chemical freeze-out parameter μS between results from particle yield fits to particle ratio fits in GCE plotted vs ⟨Npart⟩. Uncertainties represent systematic errors.

Ratio of chemical freeze-out parameter Tch between results from particle yield fits to particle ratio fits in GCE plotted vs ⟨Npart⟩. Uncertainties represent systematic errors.

Chemical freeze-out parameter γS plotted vs ⟨Npart⟩ in SCE for particle yields fit. Uncertainties represent systematic errors.

Chemical freeze-out parameter μB plotted vs ⟨Npart⟩ in SCE for particle yields fit. Uncertainties represent systematic errors.

Chemical freeze-out parameter Tch plotted vs ⟨Npart⟩ in SCE for particle yields fit. Uncertainties represent systematic errors.

Chemical freeze-out parameter R plotted vs ⟨Npart⟩ in SCE for particle yields fit. Uncertainties represent systematic errors.

Ratio of chemical freeze-out parameter γS between yield and ratio fits in SCE plotted vs ⟨Npart⟩. Uncertainties represent systematic errors.

Ratio of chemical freeze-out parameter μB between yield and ratio fits in SCE plotted vs ⟨Npart⟩. Uncertainties represent systematic errors.

Ratio of chemical freeze-out parameter Tch between yield and ratio fits in SCE plotted vs ⟨Npart⟩. Uncertainties represent systematic errors.

Ratio of chemical freeze-out parameter γS between GCE and SCE results using particle ratios in fits plotted vs ⟨Npart⟩. Uncertainties represent systematic errors.

Ratio of chemical freeze-out parameter μB between GCE and SCE results using particle ratios in fits plotted vs ⟨Npart⟩. Uncertainties represent systematic errors.

Ratio of chemical freeze-out parameter Tch between GCE and SCE results using particle ratios in fits plotted vs ⟨Npart⟩. Uncertainties represent systematic errors.

Ratio of chemical freeze-out parameter γS between GCE and SCE results using particle yields in fits plotted vs ⟨Npart⟩. Uncertainties represent systematic errors.

Ratio of chemical freeze-out parameter μB between GCE and SCE results using particle yields in fits plotted vs ⟨Npart⟩. Uncertainties represent systematic errors.

Ratio of chemical freeze-out parameter Tch between GCE and SCE results using particle yields in fits plotted vs ⟨Npart⟩. Uncertainties represent systematic errors.

Ratio of chemical freeze-out parameter R between GCE and SCE results using particle yields in fits plotted vs ⟨Npart⟩. Uncertainties represent systematic errors.

Extracted chemical freeze-out temperature vs baryon chemical potential for (a) GCE and (b) SCE cases using particle yields as input for fitting. Curves represent two model predictions [81,82]. The gray bands represent the theoretical prediction ranges of the Cleymans et al. model [81]. Uncertainties represent systematic errors.

Extracted chemical freeze-out temperature vs baryon chemical potential for (a) GCE and (b) SCE cases using particle yields as input for fitting. Curves represent two model predictions [81,82]. The gray bands represent the theoretical prediction ranges of the Cleymans et al. model [81]. Uncertainties represent systematic errors.

Extracted chemical freeze-out temperature vs baryon chemical potential for (a) GCE and (b) SCE cases using particle yields as input for fitting. Curves represent two model predictions [81,82]. The gray bands represent the theoretical prediction ranges of the Cleymans et al. model [81]. Uncertainties represent systematic errors.

"Choice on constraints: Extracted chemical freeze-out temperatures shown in panels (a), (c), and (e) and baryon chemical potentials shown in panels (b), (d), and (f) for GCE using particle yields as input for fitting, respectively, for Au+Au collisions at √sNN = 7.7, 19.6, and 39 GeV. Results are compared for three initial conditions: μQ = 0, μQ constrained to B/2Q value, and μQ constrained to B/2Q along with μS constrained to 0. Uncertainties represent systematic errors."

"Choice on constraints: Extracted chemical freeze-out temperatures shown in panels (a), (c), and (e) and baryon chemical potentials shown in panels (b), (d), and (f) for GCE using particle yields as input for fitting, respectively, for Au+Au collisions at √sNN = 7.7, 19.6, and 39 GeV. Results are compared for three initial conditions: μQ = 0, μQ constrained to B/2Q value, and μQ constrained to B/2Q along with μS constrained to 0. Uncertainties represent systematic errors."

"Choice on constraints: Extracted chemical freeze-out temperatures shown in panels (a), (c), and (e) and baryon chemical potentials shown in panels (b), (d), and (f) for GCE using particle yields as input for fitting, respectively, for Au+Au collisions at √sNN = 7.7, 19.6, and 39 GeV. Results are compared for three initial conditions: μQ = 0, μQ constrained to B/2Q value, and μQ constrained to B/2Q along with μS constrained to 0. Uncertainties represent systematic errors."

"Choice on constraints: Extracted chemical freeze-out temperatures shown in panels (a), (c), and (e) and baryon chemical potentials shown in panels (b), (d), and (f) for GCE using particle yields as input for fitting, respectively, for Au+Au collisions at √sNN = 7.7, 19.6, and 39 GeV. Results are compared for three initial conditions: μQ = 0, μQ constrained to B/2Q value, and μQ constrained to B/2Q along with μS constrained to 0. Uncertainties represent systematic errors."

"Choice on constraints: Extracted chemical freeze-out temperatures shown in panels (a), (c), and (e) and baryon chemical potentials shown in panels (b), (d), and (f) for GCE using particle yields as input for fitting, respectively, for Au+Au collisions at √sNN = 7.7, 19.6, and 39 GeV. Results are compared for three initial conditions: μQ = 0, μQ constrained to B/2Q value, and μQ constrained to B/2Q along with μS constrained to 0. Uncertainties represent systematic errors."

"Choice on constraints: Extracted chemical freeze-out temperatures shown in panels (a), (c), and (e) and baryon chemical potentials shown in panels (b), (d), and (f) for GCE using particle yields as input for fitting, respectively, for Au+Au collisions at √sNN = 7.7, 19.6, and 39 GeV. Results are compared for three initial conditions: μQ = 0, μQ constrained to B/2Q value, and μQ constrained to B/2Q along with μS constrained to 0. Uncertainties represent systematic errors."

"Choice on including more particles: Extracted chemical freeze-out parameters (a) Tch, (b) μB, and (c) γS along with (d) χ2/ndf for GCE using particle yields as input for fitting. Results are compared for Au+Au collisions at √sNN = 39 GeV for four different sets of particle yields used in fitting. Uncertainties represent systematic errors."

"Choice on including more particles: Extracted chemical freeze-out parameters (a) Tch, (b) μB, and (c) γS along with (d) χ2/ndf for GCE using particle yields as input for fitting. Results are compared for Au+Au collisions at √sNN = 39 GeV for four different sets of particle yields used in fitting. Uncertainties represent systematic errors."

"Choice on including more particles: Extracted chemical freeze-out parameters (a) Tch, (b) μB, and (c) γS along with (d) χ2/ndf for GCE using particle yields as input for fitting. Results are compared for Au+Au collisions at √sNN = 39 GeV for four different sets of particle yields used in fitting. Uncertainties represent systematic errors."

"Choice on including more particles: Extracted chemical freeze-out parameters (a) Tch, (b) μB, and (c) γS along with (d) χ2/ndf for GCE using particle yields as input for fitting. Results are compared for Au+Au collisions at √sNN = 39 GeV for four different sets of particle yields used in fitting. Uncertainties represent systematic errors."

"Blast wave model fits of π±, K±, p and p p¯ T spectra in 0–5% central Au+Au collisions at √sNN = (a) 7.7, (b) 11.5, (c) 19.6, (d) 27, and (e) 39 GeV. Uncertainties on experimental data represent statistical and systematic uncertainties added in quadrature. Here, the uncertainties are smaller than the symbol size."

"Blast wave model fits of π±, K±, p and p p¯ T spectra in 0–5% central Au+Au collisions at √sNN = (a) 7.7, (b) 11.5, (c) 19.6, (d) 27, and (e) 39 GeV. Uncertainties on experimental data represent statistical and systematic uncertainties added in quadrature. Here, the uncertainties are smaller than the symbol size."

"Blast wave model fits of π±, K±, p and p p¯ T spectra in 0–5% central Au+Au collisions at √sNN = (a) 7.7, (b) 11.5, (c) 19.6, (d) 27, and (e) 39 GeV. Uncertainties on experimental data represent statistical and systematic uncertainties added in quadrature. Here, the uncertainties are smaller than the symbol size."

"Blast wave model fits of π±, K±, p and p p¯ T spectra in 0–5% central Au+Au collisions at √sNN = (a) 7.7, (b) 11.5, (c) 19.6, (d) 27, and (e) 39 GeV. Uncertainties on experimental data represent statistical and systematic uncertainties added in quadrature. Here, the uncertainties are smaller than the symbol size."

"Blast wave model fits of π±, K±, p and p p¯ T spectra in 0–5% central Au+Au collisions at √sNN = (a) 7.7, (b) 11.5, (c) 19.6, (d) 27, and (e) 39 GeV. Uncertainties on experimental data represent statistical and systematic uncertainties added in quadrature. Here, the uncertainties are smaller than the symbol size."

"Variation of Tkin with <β> for different energies and centralities. The centrality increases from left to right for a given energy. The data points other than BES energies are taken from Refs. [43,66]. Uncertainties represent systematic uncertainties."

"Variation of Tkin with <β> for different energies and centralities. The centrality increases from left to right for a given energy. The data points other than BES energies are taken from Refs. [43,66]. Uncertainties represent systematic uncertainties."

"Variation of Tkin with <β> for different energies and centralities. The centrality increases from left to right for a given energy. The data points other than BES energies are taken from Refs. [43,66]. Uncertainties represent systematic uncertainties."

"Variation of Tkin with <β> for different energies and centralities. The centrality increases from left to right for a given energy. The data points other than BES energies are taken from Refs. [43,66]. Uncertainties represent systematic uncertainties."

"Variation of Tkin with <β> for different energies and centralities. The centrality increases from left to right for a given energy. The data points other than BES energies are taken from Refs. [43,66]. Uncertainties represent systematic uncertainties."

" (a) Energy dependence of kinetic and chemical freezeout temperatures for central heavy-ion collisions. The curves represent various theoretical predictions [81,82]. (b) Energy dependence of average transverse radial flow velocity for central heavy-ion collisions. The data points other than BES energies are taken from Refs. [43,53–64,66] and references therein. The BES data points are for 0–5% central collisions, AGS energies are mostly for 0–5%, SPS energies are for mostly 0–7%, and top RHIC and LHC energies are for 0–5% central collisions. Uncertainties represent systematic uncertainties."

Two-particle CI joint autocorrelations $\widehat{N}(\widehat{r}-1)$ on $(\eta_{\Delta}, \phi_{\Delta})$ for peripheral collisions.

Symmetrized pair-density net ratios $\widehat{r}[X(p_{t1}),X(p_{t2})]-1$ for all nonidentified charged primary particles for peripheral Au-Au collision events at $\sqrt{s_{NN}}=130$ GeV.

Upper panel, Azimuthal distributions of associated particles for trigger particles in-plane (squares) and out-of-plane (triangles) for Au+Au collisions at centrality 20-60%. Open symbols are reflections of solid symbols around $\Delta \phi$ = 0 and $\Delta \phi$ = $\pi$. Elliptic flow contribution is shown by dashed lines. Lower panel, Distributions after substracting elliptic flow, and the corresponding measurement in p + p collisions (histogram).

$v_{2}$ at 3 ≤ $p_{t}$ ≤ 6 GeV/c versus impact parameter, b, compared to models of particle emission by a static source (see text).