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

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

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

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

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

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

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

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

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

The total coherent $\mathrm{J}/\psi$ photoproduction cross section as a function of photon-nuclear center-of-mass energy per nucleon $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$, measured in PbPb ultra-peripheral collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV. The $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$ values used correspond to the center of each rapidity range. The theoretical uncertainties is due to the uncertainties in the photon flux.

The nuclear gluon suppression factor $R_{\mathrm{g}}^{\mathrm{Pb}}$ as a function of Bjorken $x$ extracted from the CMS measurement of the coherent $\mathrm{J}/\psi$ photoproduction in PbPb ultra-peripheral collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV. The $x$ values are evaluated at the centers of their corresponding rapidity ranges. The theoretical uncertainties are due to the uncertainties in the photon flux and the impulse approximation model.

The nuclear gluon suppression factor $R_{\mathrm{g}}^{\mathrm{Pb}}$ as a function of Bjorken $x$ extracted from the CMS measurement of the coherent $\mathrm{J}/\psi$ photoproduction in PbPb ultra-peripheral collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV. The $x$ values are evaluated at the centers of their corresponding rapidity ranges. The theoretical uncertainties are due to the uncertainties in the photon flux and the impulse approximation model.

The total covariance matrix of the total coherent photoproduction cross section as a function of photon-nuclear center-of-mass energy per nucleon $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$. The covariance matrix includes both the experimental and theoretical (photon flux) uncertainties. The bins are ordered as increasing in $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$.

The photon flux values from STARLight as a function of rapidity, in different neutron multiplicity classes: 0n0n, 0nXn, and XnXn.

The experimental covariance matrix of the total coherent photoproduction cross section as a function of photon-nuclear center-of-mass energy per nucleon $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$. The bins are ordered as increasing in $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$.

The covariance matrix for the flux in the 0n0n neutron multiplicity class.

The theoretical (photon flux) covariance matrix of the total coherent photoproduction cross section as a function of photon-nuclear center-of-mass energy per nucleon $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$. The bins are ordered as increasing in $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$.

The covariance matrix for the flux in the 0nXn neutron multiplicity class.

The covariance matrix for the flux in the XnXn neutron multiplicity class.

The total covariance matrix of the total coherent photoproduction cross section as a function of photon-nuclear center-of-mass energy per nucleon $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$. The covariance matrix includes both the experimental and theoretical (photon flux) uncertainties. The bins are ordered as increasing in $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$.

The experimental covariance matrix of the total coherent photoproduction cross section as a function of photon-nuclear center-of-mass energy per nucleon $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$. The bins are ordered as increasing in $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$.

The theoretical (photon flux) covariance matrix of the total coherent photoproduction cross section as a function of photon-nuclear center-of-mass energy per nucleon $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$. The bins are ordered as increasing in $W_{\gamma \mathrm{N}}^{\mathrm{Pb}}$.

Centrality dependence of (a) $v_2${2} and (b) $v_2${4}. (a) The red points indicate no pseudorapidity gap whereas the magenta points indicate a pseudorapidity gap of |$\Delta\eta$| > 2.0. (b) The black points indicate $v_2${4} with no pseudorapidity gap, the blue points indicate a two-subevent method with |$\Delta\eta$| > 2.0 but where some short-range pairs are allowed, and the red points indicate a two-subevent method with |$\Delta\eta$| > 2.0 where no short-range pairs are allowed.

Centrality dependence of (a) $v_2${2} and (b) $v_2${4}. (a) The red points indicate no pseudorapidity gap whereas the magenta points indicate a pseudorapidity gap of |$\Delta\eta$| > 2.0. (b) The black points indicate $v_2${4} with no pseudorapidity gap, the blue points indicate a two-subevent method with |$\Delta\eta$| > 2.0 but where some short-range pairs are allowed, and the red points indicate a two-subevent method with |$\Delta\eta$| > 2.0 where no short-range pairs are allowed.

Multi-particle $v_2$ as a function of centrality in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The magenta open diamonds indicate the $v_2${SP }, the blue open squares indicate $v_2${4}, the black open circles indicate $v_2${6}, and the green filled diamonds indicate $v_2${8}.

Multi-particle $v_2$ as a function of centrality in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The magenta open diamonds indicate the $v_2${SP }, the blue open squares indicate $v_2${4}, the black open circles indicate $v_2${6}, and the green filled diamonds indicate $v_2${8}.

Multi-particle $v_2$ as a function of centrality in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The magenta open diamonds indicate the $v_2${SP }, the blue open squares indicate $v_2${4}, the black open circles indicate $v_2${6}, and the green filled diamonds indicate $v_2${8}.

Multi-particle $v_2$ as a function of centrality in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The magenta open diamonds indicate the $v_2${SP }, the blue open squares indicate $v_2${4}, the black open circles indicate $v_2${6}, and the green filled diamonds indicate $v_2${8}.

Cumulant method estimate of $\sigma_{v_{2}}$ / $\langle v_{2} \rangle$ as a function of centrality in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The data are shown as black open squares. The same calculation as done in data is done in ampt, shown as a solid green line. Calculations of $\sigma_{\epsilon_{2}}$ /$ \langle\epsilon_{2}\rangle$ performed in the Monte Carlo Glauber model are shown as blue lines. The solid blue line is the Monte Carlo Glauber calculation done using the same estimate as the data, the dashed blue line is the direct calculation of the moments of the MC Glauber $\epsilon_{2}$ distribution.

Centrality dependence of $v_3${2, |$\Delta\eta$| > 2} in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV, shown as magenta diamonds. The systematic uncertainty is indicated as a shaded magenta band. Also shown as black squares are $\sqrt{\langle v^{2}_{3}\rangle}$ as determined from the folding analysis, which is shown in the next section.

Centrality dependence of $v_3${2, |$\Delta\eta$| > 2} in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV, shown as magenta diamonds. The systematic uncertainty is indicated as a shaded magenta band. Also shown as black squares are $\sqrt{\langle v^{2}_{3}\rangle}$ as determined from the folding analysis, which is shown in the next section.

Centrality dependence of $c_3${4} for Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. (a) Calculations using both arms: $c_3${4} (black circles), $c_3${4}$_{ab|ab}$ (blue diamonds), $c_3${4}$_{aa|bb}$ (red squares), and comparison to STAR [36] (black stars). (b) Comparison of $c_3${4} determined using both arms (open symbols) and a single arm (closed symbols). Note that the open black circles are the same in (a) and (b).

Centrality dependence of $c_3${4} for Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. (a) Calculations using both arms: $c_3${4} (black circles), $c_3${4}$_{ab|ab}$ (blue diamonds), $c_3${4}$_{aa|bb}$ (red squares), and comparison to STAR [36] (black stars). (b) Comparison of $c_3${4} determined using both arms (open symbols) and a single arm (closed symbols). Note that the open black circles are the same in (a) and (b).

Centrality dependence of $c_3${4} for Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. (a) Calculations using both arms: $c_3${4} (black circles), $c_3${4}$_{ab|ab}$ (blue diamonds), $c_3${4}$_{aa|bb}$ (red squares), and comparison to STAR [36] (black stars). (b) Comparison of $c_3${4} determined using both arms (open symbols) and a single arm (closed symbols). Note that the open black circles are the same in (a) and (b).

Folding results for (a) $v_2$, (b) $\sigma_{v_{2}}$ , and (c) $\sigma_{v_{2}}$ / $\langle v_{2}\rangle$. The black lines above and below the points indicate the systematic uncertainties. The red (green) boxes indicate the statistical uncertainties at the 68.27% (95.45%) confidence level. In the case of $\langle v_{2}\rangle$, the statistical uncertainties at the 68.27% confidence level are too small to be seen, and the uncertainties at the 95.45% confidence level are visible but noticeably smaller than the marker size. Shown as blue squares are the same quantities as determined using the cumulant based calculation—these points are slightly offset in the x-coordinate to improve visibility.

Folding results for (a) $v_2$, (b) $\sigma_{v_{2}}$ , and (c) $\sigma_{v_{2}}$ / $\langle v_{2}\rangle$. The black lines above and below the points indicate the systematic uncertainties. The red (green) boxes indicate the statistical uncertainties at the 68.27% (95.45%) confidence level. In the case of $\langle v_{2}\rangle$, the statistical uncertainties at the 68.27% confidence level are too small to be seen, and the uncertainties at the 95.45% confidence level are visible but noticeably smaller than the marker size. Shown as blue squares are the same quantities as determined using the cumulant based calculation—these points are slightly offset in the x-coordinate to improve visibility.

Folding results for (a) $v_2$, (b) $\sigma_{v_{2}}$ , and (c) $\sigma_{v_{2}}$ / $\langle v_{2}\rangle$. The black lines above and below the points indicate the systematic uncertainties. The red (green) boxes indicate the statistical uncertainties at the 68.27% (95.45%) confidence level. In the case of $\langle v_{2}\rangle$, the statistical uncertainties at the 68.27% confidence level are too small to be seen, and the uncertainties at the 95.45% confidence level are visible but noticeably smaller than the marker size. Shown as blue squares are the same quantities as determined using the cumulant based calculation—these points are slightly offset in the x-coordinate to improve visibility.

Folding results for (a) $\langle v_{3}\rangle$, (b) $\sigma_{v_{3}}$ , and (c) $\sigma_{v_{3}}$ /$\langle v_{3}\rangle$. The black lines above and below the points indicate the systematic uncertainties. The red (green) boxes indicate the statistical uncertainties at the 68.27% (95.45%) confidence level. The $\sigma_{v_{3}}$ /$\langle v_{3}\rangle$ values are all ≈ 0.52, the apparent limiting value of this quantity for the Bessel-Gaussian distribution.

Folding results for (a) $\langle v_{3}\rangle$, (b) $\sigma_{v_{3}}$ , and (c) $\sigma_{v_{3}}$ /$\langle v_{3}\rangle$. The black lines above and below the points indicate the systematic uncertainties. The red (green) boxes indicate the statistical uncertainties at the 68.27% (95.45%) confidence level. The $\sigma_{v_{3}}$ /$\langle v_{3}\rangle$ values are all ≈ 0.52, the apparent limiting value of this quantity for the Bessel-Gaussian distribution.

Folding results for (a) $\langle v_{3}\rangle$, (b) $\sigma_{v_{3}}$ , and (c) $\sigma_{v_{3}}$ /$\langle v_{3}\rangle$. The black lines above and below the points indicate the systematic uncertainties. The red (green) boxes indicate the statistical uncertainties at the 68.27% (95.45%) confidence level. The $\sigma_{v_{3}}$ /$\langle v_{3}\rangle$ values are all ≈ 0.52, the apparent limiting value of this quantity for the Bessel-Gaussian distribution.

$v_2$ for inclusive charged hadrons in Au+Au at $\sqrt{s_{NN}}$ = 200 GeV.

$v_2$ for inclusive charged hadrons in Au+Au at $\sqrt{s_{NN}}$ = 200 GeV.

$v_2$ for inclusive charged hadrons in Au+Au at $\sqrt{s_{NN}}$ = 200 GeV.

$v_2$ for inclusive charged hadrons in Au+Au at $\sqrt{s_{NN}}$ = 200 GeV.

$v_2$ for inclusive charged hadrons in Au+Au at $\sqrt{s_{NN}}$ = 200 GeV.

$v_2$ for inclusive charged hadrons in Au+Au at $\sqrt{s_{NN}}$ = 62.4 GeV.

$v_2$ for inclusive charged hadrons in Au+Au at $\sqrt{s_{NN}}$ = 62.4 GeV.

$v_2$ for inclusive charged hadrons in Cu+Cu at $\sqrt{s_{NN}}$ = 62.4 GeV compared with 200 GeV.

$v_2$ for inclusive charged hadrons in Cu+Cu at $\sqrt{s_{NN}}$ = 62.4 GeV compared with 200 GeV.

$v_2$ for inclusive charged hadrons in Cu+Cu at $\sqrt{s_{NN}}$ = 62.4 GeV compared with 200 GeV.

Comparison of integrated $v_2$ at $\sqrt{s_{NN}}$ = 62.4 and 200 GeV. Au+Au reaction.

Comparison of integrated $v_2$ at $\sqrt{s_{NN}}$ = 62.4 and 200 GeV. Au+Au reaction.

Comparison of integrated $v_2$ at $\sqrt{s_{NN}}$ = 62.4 and 200 GeV. Cu+Cu reaction.

Comparison of integrated $v_2$ at $\sqrt{s_{NN}}$ = 62.4 and 200 GeV. Cu+Cu reaction.

The comparison of integrated $v_2$ as a function of centrality.

The comparison of the normalized $v_2$/$\epsilon$ vs. centrality.

The comparison of integrated $v_2$ as a function of centrality.

The comparison of the normalized $v_2$/$\epsilon$ vs. centrality.

The comparison of integrated $v_2$ as a function of centrality.

The comparison of the normalized $v_2$/$\epsilon$ vs. centrality.

The comparison of integrated $v_2$ as a function of centrality.

The comparison of the normalized $v_2$/$\epsilon$ vs. centrality.

Comparison of $v_2$ ($p_T$) at 200 GeV for two example systems with different collision size.

Comparison of $v_2$ ($p_T$) at 200 GeV for two example systems with different collision size.

Comparison of $v_2$ ($p_T$) at 200 GeV for two example systems with different collision size.

$v_2$ vs. $p_T$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 62.4 and 200 GeV for centralities given.

$v_2$ vs. $p_T$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 62.4 and 200 GeV for centralities given.

$v_2$ vs. $p_T$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 62.4 and 200 GeV for centralities given.

$v_2$ vs. $p_T$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 62.4 and 200 GeV for centralities given.

$v_2$ vs. $p_T$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 62.4 and 200 GeV for centralities given.

$v_2$ vs. $p_T$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 62.4 and 200 GeV for centralities given.

$v_2$ vs. $p_T$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 62.4 and 200 GeV for centralities given.

$v_2$ vs. $p_T$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 62.4 and 200 GeV for centralities given.

$v_2$ vs. $p_T$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 62.4 and 200 GeV for centralities given.

$v_2$ vs. $p_T$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 62.4 and 200 GeV for centralities given.

Comparison of $v_2$ between $\sqrt{s_{NN}}$ = 62.4 GeV and 200 GeV for $\pi$/$K$/$p$ emitted from central Au+Au collisions.

Comparison of $v_2$ between $\sqrt{s_{NN}}$ = 62.4 GeV and 200 GeV for $\pi$/$K$/$p$ emitted from central Au+Au collisions.

Comparison of $v_2$ between $\sqrt{s_{NN}}$ = 62.4 GeV and 200 GeV for $\pi$/$K$/$p$ emitted from central Au+Au collisions.

Comparison of $v_2$ between $\sqrt{s_{NN}}$ = 62.4 GeV and 200 GeV for $\pi$/$K$/$p$ emitted from central Au+Au collisions.

Comparison of $v_2$ between $\sqrt{s_{NN}}$ = 62.4 GeV and 200 GeV for $\pi$/$K$/$p$ emitted from central Au+Au collisions.

Comparison of $v_2$ between $\sqrt{s_{NN}}$ = 62.4 GeV and 200 GeV for $\pi$/$K$/$p$ emitted from central Au+Au collisions.

Comparison of $v_2$ between $\sqrt{s_{NN}}$ = 62.4 GeV and 200 GeV for $\pi$/$K$/$p$ emitted from central Au+Au collisions.

Comparison of the $v_2$ of particles, antiparticles, for a minimum bias sample at 200 GeV and central 62.4 GeV Au+Au collisions.

Comparison of the $v_2$ of particles, antiparticles, for a minimum bias sample at 200 GeV and central 62.4 GeV Au+Au collisions.

Comparison of the $v_2$ of particles, antiparticles, for a minimum bias sample at 200 GeV and central 62.4 GeV Au+Au collisions.

Comparison of the $v_2$ of particles, antiparticles, for a minimum bias sample at 200 GeV and central 62.4 GeV Au+Au collisions.

Comparison of the $v_2$ of particles, antiparticles, for a minimum bias sample at 200 GeV and central 62.4 GeV Au+Au collisions.

Comparison of the $v_2$ of particles, antiparticles, for a minimum bias sample at 200 GeV and central 62.4 GeV Au+Au collisions.

The ratio $v_2$/$n_q$ vs. $p_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. $p_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. $p_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. $p_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. $p_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. $p_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. $p_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. $p_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. $p_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. $p_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. ${KE}_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. ${KE}_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. ${KE}_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. ${KE}_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. ${KE}_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. ${KE}_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. ${KE}_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. ${KE}_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. ${KE}_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. ${KE}_T$/$n_q$ for $\pi$/$K$/$p$ emitted from Au+Au at 62.4 and 200 GeV and Cu+Cu at 200 GeV collisions.

The ratio $v_2$/$n_q$ vs. ${KE}_T$/$n_q$ for the indicated hadrons emitted from central Au+Au collisions at 62.4 GeV.

The ratio $v_2$/$n_q$ vs. ${KE}_T$/$n_q$ for the indicated hadrons emitted from central Au+Au collisions at 62.4 GeV.

The ratio $v_2$/$n_q$ vs. ${KE}_T$/$n_q$ for the indicated hadrons emitted from central Au+Au collisions at 62.4 GeV.

$v_2$ vs. $p_T$ and $v_2$/($\epsilon * N^{1/3}_{part} * n_q$) vs. ${KE}_T$/$n_q$ for $\pi$/$K$/$p$ in Au+Au at 200 GeV, in Au+Au at 62.4 GeV, and in Cu+Cu at 200 GeV. The values of $v_2$ and $p_T$ in Au+Au at 200 GeV, in Au+Au at 62.4 GeV, and in Cu+Cu at 200 GeV are the same for as figure 14, and the values of $v_2$, $n_q$, and $KE_T$ in Au+Au at 200 GeV, in Au+Au at 62.4 GeV, and in Cu+Cu at 200 GeV are the same for as figure 18.

Transverse momentum spectra for the jet region, obtained as toward-transverse. Events with a leading track with PT>5 GEV at midrapidity are selected. The spectrum is shown in Figure 1 (right panel).

Coalescence parameter B2 as a function of the transverse momentum per nucleon pT/A, in the underlying event (transverse region). Events with a leading track with PT>5 GEV at midrapidity are selected. The B2 is shown in Figure 2 (both panels).

Coalescence parameter B2 as a function of the transverse momentum per nucleon pT/A, in the jet (transverse-toward region). Events with a leading track with PT>5 GEV at midrapidity are selected. The B2 is shown in Figure 2 (both panels).

$p_{\rm T}$-distributions of $\rm{K}^{*}$ (average of particle and anti-particle) meson measured in Pb-Pb collisions at \sqrt{s_{NN}}$ = 5.02 TeV for 40-60\% centrality.

$p_{\rm T}$-distributions of $\rm{K}^{*}$ (average of particle and anti-particle) meson measured in Pb-Pb collisions at \sqrt{s_{NN}}$ = 5.02 TeV for 60-80\% centrality.

$p_{\rm T}$-integrated yield d$N$/d$y$ of K$^{*}$ (average of particle and anti-particle) meson measured in Pb-Pb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV.

Mean $p_{\rm T}$ of K$^{*}$ (average of particle and anti-particle) meson measured in Pb-Pb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV.

$p_{\rm T}$-integrated yield ratio of $\rm{K}^{*}$ (average of particleand anti-particle) to K (average of particle and anti-particle) measured in Pb-Pb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV.

$p_{\rm T}$ differential ratio $(\rm{K}^{*\pm} + \rm{K}^{*\mp}) / (\rm{K}^{+}+\rm{K}^{-})$ measured in Pb-Pb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV for 0-10\% centrality interval.

$p_{\rm T}$ differential ratio $(\rm{K}^{*\pm} + \rm{K}^{*\mp}) / (\rm{K}^{+}+\rm{K}^{-})$ measured in Pb-Pb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV for 60-80\% centrality interval.

$p_{\rm T}$ differential ratio $(\rm{K}^{*\pm} + \rm{K}^{*\mp}) / (\rm{pi}^{+}+\rm{pi}^{-})$ measured in Pb-Pb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV for 0-10\% centrality interval.

$p_{\rm T}$ differential ratio $(\rm{K}^{*\pm} + \rm{K}^{*\mp}) / (\rm{pi}^{+}+\rm{pi}^{-})$ measured in Pb-Pb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV for 60-80\% centrality interval.

$p_{T}$-dependent nuclear modification factor of $\rm{K}^{*}$ (average of particle and anti-particle) meson measured in Pb-Pb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV for 0-10\% centrality.

$p_{T}$-dependent nuclear modification factor of $\rm{K}^{*}$ (average of particle and anti-particle) meson measured in Pb-Pb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV for 10-20\% centrality.

$p_{T}$-dependent nuclear modification factor of $\rm{K}^{*}$ (average of particle and anti-particle) meson measured in Pb-Pb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV for 20-40\% centrality.

$p_{T}$-dependent nuclear modification factor of $\rm{K}^{*}$ (average of particle and anti-particle) meson measured in Pb-Pb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV for 40-60\% centrality.

$p_{T}$-dependent nuclear modification factor of $\rm{K}^{*}$ (average of particle and anti-particle) meson measured in Pb-Pb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV for 60-80\% centrality.

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

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

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

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

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

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

The minimum $\chi^2$ and the parameters $T_{fo}$ and $\beta^{max}_T$ for each of the five centrality selections. The best fit parameters are determined by averaging all parameter pairs within the 1$\sigma$ contour. The errors correspond to the standard deviation of the parameter pairs within the 1$\sigma$ $\chi^2$ contour.

Fit parameters for each particle species using Equations $\frac{dN}{dy}$ = $C \cdot$ ($N_{part}$)$^{\alpha_{part}}$ and $\frac{dN}{dy}$ = $C^{\prime} \cdot$ ($N_{coll}$)$^{\alpha_{coll}}$.

Values of the parameters $n_{pp}$ and $x$ from fitting Equation $R \equiv \frac{dN/dy}{N_{part}}$ = (1-$x$) $\cdot n_{pp} \frac{1}{2}$ + $x \cdot n_{pp} \frac{N_{coll}}{N_{part}}$ = $n_{pp}$ [$\frac{1}{2}$ + $x$($\frac{N_{coll}}{N_{part}}$ - $\frac{1}{2})$]to the observed $dN$/$dy$ per $N_{part}$.

Invariant yields for $\pi^{\pm}$ measured in minimum-bias events at midrapidity and normalized to one rapidity unit.

Invariant yields for $K^{\pm}$ measured in minimum-bias events at midrapidity and normalized to one rapidity unit.

Invariant yields for (anti)$p$ measured in minimum-bias events at midrapidity and normalized to one rapidity unit.

Pion invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

Pion invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

Kaon invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

Kaon invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

(Anti)proton invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

(Anti)proton invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

(Anti)proton invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

(Anti)proton invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

(Anti)proton invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

(Anti)proton invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

(Anti)proton invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

Minimum-bias invariant yields for $\pi^{\pm}$ in equal $p_T$ bins.

Minimum-bias invariant yields for $K^{\pm}$ in equal $p_T$ bins.

Minimum-bias invariant yields for (anti)$p$ in equal $p_T$ bins.

Pion invariant yields in each event centrality normalized to one rapidity unit at midrapidity.

Pion invariant yields in each event centrality normalized to one rapidity unit at midrapidity.

Kaon invariant yields in each event centrality normalized to one rapidity unit at midrapidity.

(Anti)proton invariant yields in each event centrality normalized to one rapidity unit at midrapidity.

(Anti)proton invariant yields in each event centrality normalized to one rapidity unit at midrapidity.

The integrated mean $p_T$ for pions, kaons, and (anti)protons produced in the five different classes of event centrality.

The expansion parameters $T_{fo}$ and $\beta^{max}_T$ as a function of the number of participants.

<p>Charged hadron spectra for centrality selected d+Au collisions.</p>

<p>Charged hadron spectra for centrality selected d+Au collisions.</p>

<p>Charged hadron spectra for centrality selected N+Au collisions. All centralities.</p>

<p>Charged hadron spectra for centrality selected N+Au collisions. Centrality A (Central).</p>

<p>Charged hadron spectra for centrality selected N+Au collisions. Centrality B.</p>

<p>Charged hadron spectra for centrality selected N+Au collisions. Centrality C.</p>

<p>Charged hadron spectra for centrality selected N+Au collisions. Centrality D (Peripheral).</p>

<p>$R_{dAu}$ as a function of $p_T$.</p>

<p>$R_{dAu}$ as a function of $p_T$.</p>

<p>$R_{dAu}$ as a function of $p_T$.</p>

<p>$R_{dAu}$ as a function of $p_T$.</p>

<p>$R_{NAu}$ as a function of $p_T$. Centrality A (Peripheral).</p>

<p>$R_{NAu}$ as a function of $p_T$. Centrality B.</p>

<p>$R_{dAu}$ as a function of $p_T$. Centrality C.</p>

<p>$R_{dAu}$ as a function of $p_T$. Centrality D (Central).</p>

<p>$R_{dAu}$ values averaged in three momentum ranges as functions of $\nu−1$. Horizontal bars show the uncertainty in the value of $\nu$ for each centrality class.</p>

<p>$R_{NAu}$ values averaged in three momentum ranges as functions of $\nu−1$. Horizontal bars show the uncertainty in the value of $\nu$ for each centrality class.</p>

<p>Charged hadron spectra for centrality selected d+Au collisions.</p>