The centrality dependence of e+e− invariant mass spectra within the STAR acceptance from Au+Au collisions and U+U collisions for pair pT < 0.15 GeV/c. The vertical bars on data points depict the statistical uncertainties, while the systematic uncertainties are shown as gray boxes. The hadronic cocktail yields from U+U collisions are ∼5%–12% higher than those from Au+Au collisions in given centrality bins; thus only cocktails for Au+Au collisions are shown here as solid lines, with shaded bands representing the systematic uncertainties for clarity.

The centrality dependence of e+e− invariant mass spectra within the STAR acceptance from Au+Au collisions and U+U collisions for pair pT < 0.15 GeV/c. The vertical bars on data points depict the statistical uncertainties, while the systematic uncertainties are shown as gray boxes. The hadronic cocktail yields from U+U collisions are ∼5%–12% higher than those from Au+Au collisions in given centrality bins; thus only cocktails for Au+Au collisions are shown here as solid lines, with shaded bands representing the systematic uncertainties for clarity.

The centrality dependence of e+e− invariant mass spectra within the STAR acceptance from Au+Au collisions and U+U collisions for pair pT < 0.15 GeV/c. The vertical bars on data points depict the statistical uncertainties, while the systematic uncertainties are shown as gray boxes. The hadronic cocktail yields from U+U collisions are ∼5%–12% higher than those from Au+Au collisions in given centrality bins; thus only cocktails for Au+Au collisions are shown here as solid lines, with shaded bands representing the systematic uncertainties for clarity.

The corresponding ratios of data over cocktail for Figure 1.

The corresponding ratios of data over cocktail for Figure 1.

The corresponding ratios of data over cocktail for Figure 1.

The corresponding ratios of data over cocktail for Figure 1.

The corresponding ratios of data over cocktail for Figure 1.

The corresponding ratios of data over cocktail for Figure 1.

The e+e− pair pT distributions within the STAR acceptance for different mass regions in 60%–80% Au+Au and U+U collisions compared to cocktails. The systematic uncertainties of the data are shown as gray boxes. The gray bands depict the systematic uncertainties of the cocktails.

The e+e− pair pT distributions within the STAR acceptance for different mass regions in 60%–80% Au+Au and U+U collisions compared to cocktails. The systematic uncertainties of the data are shown as gray boxes. The gray bands depict the systematic uncertainties of the cocktails.

The e+e− pair pT distributions within the STAR acceptance for different mass regions in 60%–80% Au+Au and U+U collisions compared to cocktails. The systematic uncertainties of the data are shown as gray boxes. The gray bands depict the systematic uncertainties of the cocktails.

The e+e− pair pT distributions within the STAR acceptance for different mass regions in 60%–80% Au+Au and U+U collisions compared to cocktails. The systematic uncertainties of the data are shown as gray boxes. The gray bands depict the systematic uncertainties of the cocktails.

The e+e− pair pT distributions within the STAR acceptance for different mass regions in 60%–80% Au+Au and U+U collisions compared to cocktails. The systematic uncertainties of the data are shown as gray boxes. The gray bands depict the systematic uncertainties of the cocktails.

The e+e− pair pT distributions within the STAR acceptance for different mass regions in 60%–80% Au+Au and U+U collisions compared to cocktails. The systematic uncertainties of the data are shown as gray boxes. The gray bands depict the systematic uncertainties of the cocktails.

The low-pT (pT < 0.15 GeV/c) e+e− excess mass spectra (data − cocktail) within the STAR acceptance in 60%–80% for Au + Au and U + U collisions, compared with a broadened rho meson model calculation [8]. The contributions of rho and phi from the photonuclear process are shown, as are the contributions of photon-photon process from two models [33,34]. The model calculations are for Au + Au collisions in the corresponding centrality bins.

The low-pT (pT < 0.15 GeV/c) e+e− excess mass spectra (data − cocktail) within the STAR acceptance in 60%–80% for Au + Au and U + U collisions, compared with a broadened rho meson model calculation [8]. The contributions of rho and phi from the photonuclear process are shown, as are the contributions of photon-photon process from two models [33,34]. The model calculations are for Au + Au collisions in the corresponding centrality bins.

The low-pT (pT < 0.15 GeV/c) e+e− excess mass spectra (data − cocktail) within the STAR acceptance in 40%–60% for Au + Au and U + U collisions, compared with a broadened rho meson model calculation [8]. The contributions of rho and phi from the photonuclear process are shown, as are the contributions of photon-photon process from two models [33,34]. The model calculations are for Au + Au collisions in the corresponding centrality bins.

The low-pT (pT < 0.15 GeV/c) e+e− excess mass spectra (data − cocktail) within the STAR acceptance in 40%–60% for Au + Au and U + U collisions, compared with a broadened rho meson model calculation [8]. The contributions of rho and phi from the photonuclear process are shown, as are the contributions of photon-photon process from two models [33,34]. The model calculations are for Au + Au collisions in the corresponding centrality bins.

The centrality dependence of integrated excess yields in the mass regions of 0.4–0.76, 0.76–1.2, and 1.2–2.6 GeV=c2 in Au + Au and U + U collisions. The centrality dependence of hadronic cocktail yields in the mass region of 0.76–1.2 GeV/c2 in both collisions is also shown for comparison. The systematic uncertainties are shown as gray boxes.

The centrality dependence of integrated excess yields in the mass regions of 0.4–0.76, 0.76–1.2, and 1.2–2.6 GeV=c2 in Au + Au and U + U collisions. The centrality dependence of hadronic cocktail yields in the mass region of 0.76–1.2 GeV/c2 in both collisions is also shown for comparison. The systematic uncertainties are shown as gray boxes.

The centrality dependence of integrated excess yields in the mass regions of 0.4–0.76, 0.76–1.2, and 1.2–2.6 GeV=c2 in Au + Au and U + U collisions. The centrality dependence of hadronic cocktail yields in the mass region of 0.76–1.2 GeV/c2 in both collisions is also shown for comparison. The systematic uncertainties are shown as gray boxes.

The centrality dependence of integrated excess yields in the mass regions of 0.4–0.76, 0.76–1.2, and 1.2–2.6 GeV=c2 in Au + Au and U + U collisions. The centrality dependence of hadronic cocktail yields in the mass region of 0.76–1.2 GeV/c2 in both collisions is also shown for comparison. The systematic uncertainties are shown as gray boxes.

The centrality dependence of integrated excess yields in the mass regions of 0.4–0.76, 0.76–1.2, and 1.2–2.6 GeV=c2 in Au + Au and U + U collisions. The centrality dependence of hadronic cocktail yields in the mass region of 0.76–1.2 GeV/c2 in both collisions is also shown for comparison. The systematic uncertainties are shown as gray boxes.

The centrality dependence of integrated excess yields in the mass regions of 0.4–0.76, 0.76–1.2, and 1.2–2.6 GeV/c2 in Au + Au and U + U collisions. The centrality dependence of hadronic cocktail yields in the mass region of 0.76–1.2 GeV/c2 in both collisions is also shown for comparison. The systematic uncertainties are shown as gray boxes.

The p2T distributions of excess yields within the STAR acceptance in the mass regions of 0.4–0.76 GeV/c2 in 60%–80% Au + Au and U + U collisions. The systematic uncertainties are shown as gray boxes. The solid and dotted lines are exponential fits to the data in Au + Au and U + U collisions, respectively. The dot-dashed and dot-dot- dashed lines represent the p2T distributions for the photon-photon process from two models [33,34] within the STAR acceptance in 60%–80% Au + Au collisions. The dashed lines illustrate the corresponding p2T distributions for e+e− pairs from the model [33] traversing 1 fm in a constant magnetic field of 10^14 T perpendicular to the beam line.

The p2T distributions of excess yields within the STAR acceptance in the mass regions of 0.4–0.76 GeV/c2 in 60%–80% Au + Au and U + U collisions. The systematic uncertainties are shown as gray boxes. The solid and dotted lines are exponential fits to the data in Au + Au and U + U collisions, respectively. The dot-dashed and dot-dot- dashed lines represent the p2T distributions for the photon-photon process from two models [33,34] within the STAR acceptance in 60%–80% Au + Au collisions. The dashed lines illustrate the corresponding p2T distributions for e+e− pairs from the model [33] traversing 1 fm in a constant magnetic field of 10^14 T perpendicular to the beam line.

The p2T distributions of excess yields within the STAR acceptance in the mass regions of 0.76–1.2 GeV/c2 in 60%–80% Au + Au and U + U collisions. The systematic uncertainties are shown as gray boxes. The solid and dotted lines are exponential fits to the data in Au + Au and U + U collisions, respectively. The dot-dashed and dot-dot- dashed lines represent the p2T distributions for the photon-photon process from two models [33,34] within the STAR acceptance in 60%–80% Au + Au collisions. The dashed lines illustrate the corresponding p2T distributions for e+e− pairs from the model [33] traversing 1 fm in a constant magnetic field of 10^14 T perpendicular to the beam line.

The p2T distributions of excess yields within the STAR acceptance in the mass regions of 0.76–1.2 GeV/c2 in 60%–80% Au + Au and U + U collisions. The systematic uncertainties are shown as gray boxes. The solid and dotted lines are exponential fits to the data in Au + Au and U + U collisions, respectively. The dot-dashed and dot-dot- dashed lines represent the p2T distributions for the photon-photon process from two models [33,34] within the STAR acceptance in 60%–80% Au + Au collisions. The dashed lines illustrate the corresponding p2T distributions for e+e− pairs from the model [33] traversing 1 fm in a constant magnetic field of 10^14 T perpendicular to the beam line.

The p2T distributions of excess yields within the STAR acceptance in the mass regions of 1.2–2.6 GeV/c2 in 60%–80% Au + Au and U + U collisions. The systematic uncertainties are shown as gray boxes. The solid and dotted lines are exponential fits to the data in Au + Au and U + U collisions, respectively. The dot-dashed and dot-dot- dashed lines represent the p2T distributions for the photon-photon process from two models [33,34] within the STAR acceptance in 60%–80% Au + Au collisions. The dashed lines illustrate the corresponding p2T distributions for e+e− pairs from the model [33] traversing 1 fm in a constant magnetic field of 10^14 T perpendicular to the beam line.

The p2T distributions of excess yields within the STAR acceptance in the mass regions of 1.2–2.6 GeV/c2 in 60%–80% Au + Au and U + U collisions. The systematic uncertainties are shown as gray boxes. The solid and dotted lines are exponential fits to the data in Au + Au and U + U collisions, respectively. The dot-dashed and dot-dot- dashed lines represent the p2T distributions for the photon-photon process from two models [33,34] within the STAR acceptance in 60%–80% Au + Au collisions. The dashed lines illustrate the corresponding p2T distributions for e+e− pairs from the model [33] traversing 1 fm in a constant magnetic field of 10^14 T perpendicular to the beam line.

The corresponding sqrt(p2T) of excess yields. The vertical bars on data points are the combined statistical and systematic uncertainties.

The corresponding sqrt(p2T) of excess yields. The vertical bars on data points are the combined statistical and systematic uncertainties.

Data/simulation comparisons of the relative jet yields as functions of jet transverse momentum for the endcap

Data/simulation comparisons of the jet yields vs jet neutral energy fraction (NEF), shown separately for jets in different pseudorapidity ranges. The points represent the data (solid circle for barrel, open square and open cross for endcap jets at two different pseudorapidity ranges), and the histogram is the simulation.

Data/simulation comparisons of dijet yields as a function of invariant mass (left) for all the accepted events.

Data/simulation comparisons of dijet yields as a function of the pseudorapidity gap between the jets.

Data/simulation comparisons of dijet yields as a function of azimuthal opening angle between the jets.

Data/simulation comparisons of the underlying event $\delta M$ vs underlying event corrected dijet invariant mass.

The dijet $p_{T}$ imbalance distribution.

The jet invariant mass distribution.

The distributions of the parton $x_1$ and $x_2$, which has been weighted by the partonic $\hat{a}_{LL}$, from PYTHIA detector level simulations at $\sqrt{s}$ = 200 GeV for different jet pseudorapidity ranges.

The distributions of the parton $x_1$ and $x_2$, which has been weighted by the partonic $\hat{a}_{LL}$, from PYTHIA detector level simulations at $\sqrt{s}$ = 200 GeV for different jet pseudorapidity ranges.

The distributions of the parton $x_1$ and $x_2$, which has been weighted by the partonic $\hat{a}_{LL}$, from PYTHIA detector level simulations at $\sqrt{s}$ = 200 GeV for different jet pseudorapidity ranges.

$A_{LL}$ as a function of parton-level invariant mass for dijets with the East barrel-endcap.

$A_{LL}$ as a function of parton-level invariant mass for dijets with the West barrel-endcap.

$A_{LL}$ as a function of parton-level invariant mass for dijets with the endcap-endcap.

(a) Centrality dependence of $v^{even}_{1}$ for $0.4 \lt p_{T} \lt 0.7$ GeV/c for Au+Au collisions at $\sqrt{s_{_{NN}}} = 200, 39$ and $19.6$ GeV; (b) $K$ vs. $\langle N_{ch} \rangle^{-1}$ for the $v^{even}_{1}$ values shown in (a). The $\langle N_{ch} \rangle$ values correspond to the centrality intervals indicated in panel (a).

Comparison of the $\sqrt{s_{_{NN}}}$ dependence of $v^{even}_{1}$ and $v_3$ for $0.4 \lt p_{T} \lt 0.7$ GeV/c in 0-10 central Au+Au collisions.

Normalized symmetric cumulant NSC(2,3) and NSC(2,4) as a function of average number of participant nucleons in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. Data points are shown in red markers in the figure.

Normalized symmetric cumulant NSC(2,3) in Au+Au collisions at $\sqrt{s_{NN}}$ = 39 GeV (Narrow Mult. Bins). NSC(2,3) for 200 GeV (Narrow Mult. Bins) are the same as in Table4.

Normalized symmetric cumulant NSC(2,4) in Au+Au collisions at $\sqrt{s_{NN}}$ = 39 GeV (Narrow Mult. Bins). NSC(2,4) for 200 GeV (Narrow Mult. Bins) are the same as in Table4.

Slopes and intercepts of $<p_x>/<p_T>(\eta)$ in Cu+Au and Au+Au collisions.

Slopes and intercepts of $v_1(\eta)$ in Cu+Au and Au+Au collisions.

Centrality dependence of $v_1^{fluc(even)}$ and $<p_x>/<p_T>$ in Cu+Au and Au+Au collisions.

$p_T$ dependence of $v_1^{fluc(even)}$ and $v_1^{conv(odd)}$ in Cu+Au and Au+Au collisions.

$p_T$ dependence of $v_1$ measured with three-point correlator in Cu+Au collisions

$p_T$ dependence of $v_1$ measured with three-point correlator in Cu+Au collisions

$\eta$ dependence of $v_1$ measured with three-point correlator in Cu+Au collisions

Directed flow $v_1(p_T)$ of $\pi^+ + \pi^-$ in Cu+Au collisions.

Directed flow $v_1(p_T)$ of $K^++K^-$ in Cu+Au collisions.

Directed flow $v_1(p_T)$ of $p+\bar{p}$ in Cu+Au collisions.

Centrality dpendence of $<p_x>$ of positively and negatively charged particles and its differece in Cu+Au and Au+Au collisions.

Higher harmonic flow coefficients $v_n{\Psi_n}$ of charged particles for different centrality bins in Cu+Au collisions.

Higher harmonic flow coefficients of charged particles for different centrality bins in Cu+Au collisions.

Higher harmonic flow coefficients $v_n{\Psi_n}$ of charged particles for different centrality bins in Cu+Au collisions.

Higher harmonic flow coefficients $v_n$ of charged particles for two selected $p_T$ bins as a function of the number of participants calculated with a Monte-Carlo Glauber simulationin Cu+Au collisions.

Higher harmonic flow coefficients $v_n$ of charged particles for two selected $p_T$ bins as a function of the number of participants calculated with a Monte-Carlo Glauber simulationin Cu+Au collisions.

The second and third harmonic flow coefficients $v_n(p_T)$ of charged particles measured with the scalar product method for 0-5% and 20-30% centrality bins in Cu+Au collisions.

The second $v_2(p_T)$ harmonic flow coefficients of $\pi$ for different centrality bins in Cu+Au collisions.

The second $v_2(p_T)$ harmonic flow coefficients of p for different centrality bins in Cu+Au collisions.

The third $v_3(p_T)$ harmonic flow coefficients of $\pi$ for different centrality bins in Cu+Au collisions.

The third $v_3(p_T)$ harmonic flow coefficients of p for different centrality bins in Cu+Au collisions.

The second $v_2(p_T)$ and third $v_3(p_T)$ harmonic flow coefficients of K for different centrality bins in Cu+Au collisions.

Higher harmonic flow coefficients $v_2(p_T)$, $v_3(p_T)$, and $v_4(p_T)$ of $\pi$, K, and p for 0-40% centrality bin in Cu+Au collisions.

Higher harmonic flow coefficients $v_2(p_T)$, $v_3(p_T)$, and $v_4(p_T)$ of $\pi$, K, and p for 0-40% centrality bin in Cu+Au collisions.

Higher harmonic flow coefficients $v_2(p_T)$, $v_3(p_T)$, and $v_4(p_T)$ of $\pi$, K, and p for 0-40% centrality bin in Cu+Au collisions.

Higher harmonic flow coefficients $v_2(p_T)$, $v_3(p_T)$, and $v_4(p_T)$ of $\pi$, K, and p for 0-40% centrality bin in Cu+Au collisions.

Higher harmonic flow coefficients $v_2(p_T)$, $v_3(p_T)$, and $v_4(p_T)$ of $\pi$, K, and p for 0-40% centrality bin in Cu+Au collisions.

Higher harmonic flow coefficients $v_2(p_T)$, $v_3(p_T)$, and $v_4(p_T)$ of $\pi$, K, and p for 0-40% centrality bin in Cu+Au collisions.

Higher harmonic flow coefficients $v_2(p_T)$, $v_3(p_T)$, and $v_4(p_T)$ of $\pi$, K, and p for 0-40% centrality bin in Cu+Au collisions.

Higher harmonic flow coefficients $v_2(p_T)$, $v_3(p_T)$, and $v_4(p_T)$ of $\pi$, K, and p for 0-40% centrality bin in Cu+Au collisions.

$A_{UT}$ as a function of $<M_{inv}>$ for pT bin $<p_{T}>$ = 5 GeV/c for $\eta > 0$ and $\eta < 0$. In addition to statistical uncertainties, systematic uncertainties originating from PID and trigger bias systematic uncertainties are also mentioned.

$A_{UT}$ as a function of $<M_{inv}>$ for pT bin $<p_{T}>$ = 6 GeV/c for $\eta > 0$ and $\eta < 0$. In addition to statistical uncertainties, systematic uncertainties originating from PID and trigger bias systematic uncertainties are also mentioned.

$A_{UT}$ as a function of $<M_{inv}>$ for pT bin $<p_{T}>$ = 8 GeV/c for $\eta > 0$ and $\eta < 0$. In addition to statistical uncertainties, systematic uncertainties originating from PID and trigger bias systematic uncertainties are also mentioned.

$A_{UT}$ as a function of $<M_{inv}>$ for pT bin $<p_{T}>$ = 13 GeV/c for $\eta > 0$ and $\eta < 0$. In addition to statistical uncertainties, systematic uncertainties originating from PID and trigger bias systematic uncertainties are also mentioned.

Same-charge, momentum ordered asymmetry $A_{UT}$ as a function of $<M_{inv}>$ for pT bin $<p_{T}>$ = 4 GeV/c for $\eta > 0$. In addition to statistical uncertainties, systematic uncertainties originating from PID and trigger bias systematic uncertainties are also mentioned.

Same-charge, momentum ordered asymmetry $A_{UT}$ as a function of $<M_{inv}>$ for pT bin $<p_{T}>$ = 6 GeV/c for $\eta > 0$. In addition to statistical uncertainties, systematic uncertainties originating from PID and trigger bias systematic uncertainties are also mentioned.

Same-charge, momentum ordered asymmetry $A_{UT}$ as a function of $<M_{inv}>$ for pT bin $<p_{T}>$ = 13 GeV/c for $\eta > 0$. In addition to statistical uncertainties, systematic uncertainties originating from PID and trigger bias systematic uncertainties are also mentioned.

$A_{UT}$ as a function of $<p_{T}>$ for $<M_{inv}>$ = 0.4 GeV/$c^{2}$ for $\eta > 0$. In addition to statistical uncertainties, systematic uncertainties originating from PID and trigger bias systematic uncertainties are also mentioned. The systematic uncertainty numbers marked with (*) are based on marker size, and may not reflect actual experimental uncertainties.

$A_{UT}$ as a function of $<p_{T}>$ for $<M_{inv}>$ = 0.5 GeV/$c^{2}$ for $\eta > 0$. In addition to statistical uncertainties, systematic uncertainties originating from PID and trigger bias systematic uncertainties are also mentioned. The systematic uncertainty numbers marked with (*) are based on marker size, and may not reflect actual experimental uncertainties.

$A_{UT}$ as a function of $<p_{T}>$ for $<M_{inv}>$ = 0.6 GeV/$c^{2}$ for $\eta > 0$. In addition to statistical uncertainties, systematic uncertainties originating from PID and trigger bias systematic uncertainties are also mentioned. The systematic uncertainty numbers marked with (*) are based on marker size, and may not reflect actual experimental uncertainties.

$A_{UT}$ as a function of $<p_{T}>$ for $<M_{inv}>$ = 0.7 GeV/$c^{2}$ for $\eta > 0$. In addition to statistical uncertainties, systematic uncertainties originating from PID and trigger bias systematic uncertainties are also mentioned. The systematic uncertainty numbers marked with (*) are based on marker size, and may not reflect actual experimental uncertainties.

$A_{UT}$ as a function of $<p_{T}>$ for $<M_{inv}>$ = 1.0 GeV/$c^{2}$ for $\eta > 0$. In addition to statistical uncertainties, systematic uncertainties originating from PID and trigger bias systematic uncertainties are also mentioned. The systematic uncertainty numbers marked with (*) are based on marker size, and may not reflect actual experimental uncertainties.

A summary of worldwide $^3_{\Lambda}$H R_3 experimental measurements and theoretical calculations. The marker represents the present analysis. This Fig. summarizes previous measurements of this decay branching ratio in the literature. The present results close to the combined measurement from helium bubble chamber experiments and is consistent with the average value of 0.35 ± 0.04 based on early measurements in helium bubble chambers.

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.