FIG. 7. Left: Parameters $n$ and $n_{h} / \tilde{n}_{s}$ vs $\hat{n}_{\mathrm{ch}}$ from free $\chi^{2}$ fits (solid symbols) in Table I. The open symbols represent similar free fits but with $\bar{y}_{t}$ held fixed at $2.65$ (see text for discussion). The bands represent the corresponding two-component fixed parametrizations with their stated errors also given in Table $I$. Right: Ratio $n_{h}\left(\hat{n}_{\mathrm{ch}}\right) / n_{s}\left(\hat{n}_{\mathrm{ch}}\right)$ derived from integrals in Fig. 4 (left panel) (open squares) and from Gaussian amplitudes in Fig. 5 (left panel) (solid dots). The dashed and dotted lines have slopes $0.105$ and $0.095$, respectively. The solid curve is described in the text. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

FIG. 8. $\left\langle p_{t}\right\rangle\left(\hat{n}_{\mathrm{ch}}\right)$ derived from the two-component $H_{0}$ Gaussian amplitudes (solid dots), from the running integrals (open squares), and from power-law fits to STAR and UA1 data (open FIG. 8. $\left\langle p_{t}\right\rangle\left(\hat{n}_{\mathrm{ch}}\right)$ derived from the two-component $H_{0}$ Gaussian amplitudes (solid dots), from the running integrals (open squares), and from power-law fits to STAR and UA1 data (open circles, triangles). The solid and dotted lines correspond to Eq. (6) with $\alpha=0.0095$ and $0.015$, respectively.circles, triangles). The solid and dotted lines correspond to Eq. (6) with $\alpha=0.0095$ and $0.015$, respectively. NOTE 1: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty. NOTE 2: The "ext" uncertainty corresponds to the systematic uncertainty of the extrapolation of the particle yield below $p_T < 0.2 GeV/c$ (hatched region).

FIG. 1: (a) Raw two-particle correlation signal $Y_2$ (red), background $aB_{inc}F_2$ (solid histogram), and background systematic uncertainty from a (dashed histograms). (b) Background-subtracted two-particle correlation $\hat{Y}_2$ (red), and systematic uncertainties due to a (dashed histograms) and flow (blue histograms). (c) Raw three-particle correlation $Y_3$. (d) $ba^2Y_{inc}^2$ . (e) Sum of trig-corr-bkgd and trigger flow. Data are from 12% central Au+Au collisions. Statistical errors in (a,b) are smaller than the point size.

FIG. 1: (a) Raw two-particle correlation signal $Y_2$ (red), background $aB_{inc}F_2$ (solid histogram), and background systematic uncertainty from a (dashed histograms). (b) Background-subtracted two-particle correlation $\hat{Y}_2$ (red), and systematic uncertainties due to a (dashed histograms) and flow (blue histograms). (c) Raw three-particle correlation $Y_3$. (d) $ba^2Y_{inc}^2$ . (e) Sum of trig-corr-bkgd and trigger flow. Data are from 12% central Au+Au collisions. Statistical errors in (a,b) are smaller than the point size.

FIG. 2: Background subtracted three-particle correlations, $\hat{Y}_3$, for (a) pp, (b) d+Au, (c) 80-50% Au+Au, (d) 50-30% Au+Au, (e) 30-10% Au+Au, and (f) 12% central Au+Au. Statistical errors per bin are approximately $\pm$0.012 in (a) and $\pm$0.006 in (b), both at ($\pi$, $\pi$), and are $\pm$0.022, $\pm$0.049, $\pm$0.099 and $\pm$0.077 from (c) to (f), similar for all bins.

FIG. 2: Background subtracted three-particle correlations, $\hat{Y}_3$, for (a) pp, (b) d+Au, (c) 80-50% Au+Au, (d) 50-30% Au+Au, (e) 30-10% Au+Au, and (f) 12% central Au+Au. Statistical errors per bin are approximately $\pm$0.012 in (a) and $\pm$0.006 in (b), both at ($\pi$, $\pi$), and are $\pm$0.022, $\pm$0.049, $\pm$0.099 and $\pm$0.077 from (c) to (f), similar for all bins.

FIG. 2: Background subtracted three-particle correlations, $\hat{Y}_3$, for (a) pp, (b) d+Au, (c) 80-50% Au+Au, (d) 50-30% Au+Au, (e) 30-10% Au+Au, and (f) 12% central Au+Au. Statistical errors per bin are approximately $\pm$0.012 in (a) and $\pm$0.006 in (b), both at ($\pi$, $\pi$), and are $\pm$0.022, $\pm$0.049, $\pm$0.099 and $\pm$0.077 from (c) to (f), similar for all bins.

FIG. 2: Background subtracted three-particle correlations, $\hat{Y}_3$, for (a) pp, (b) d+Au, (c) 80-50% Au+Au, (d) 50-30% Au+Au, (e) 30-10% Au+Au, and (f) 12% central Au+Au. Statistical errors per bin are approximately $\pm$0.012 in (a) and $\pm$0.006 in (b), both at ($\pi$, $\pi$), and are $\pm$0.022, $\pm$0.049, $\pm$0.099 and $\pm$0.077 from (c) to (f), similar for all bins.

FIG. 2: Background subtracted three-particle correlations, $\hat{Y}_3$, for (a) pp, (b) d+Au, (c) 80-50% Au+Au, (d) 50-30% Au+Au, (e) 30-10% Au+Au, and (f) 12% central Au+Au. Statistical errors per bin are approximately $\pm$0.012 in (a) and $\pm$0.006 in (b), both at ($\pi$, $\pi$), and are $\pm$0.022, $\pm$0.049, $\pm$0.099 and $\pm$0.077 from (c) to (f), similar for all bins.

FIG. 2: Background subtracted three-particle correlations, $\hat{Y}_3$, for (a) pp, (b) d+Au, (c) 80-50% Au+Au, (d) 50-30% Au+Au, (e) 30-10% Au+Au, and (f) 12% central Au+Au. Statistical errors per bin are approximately $\pm$0.012 in (a) and $\pm$0.006 in (b), both at ($\pi$, $\pi$), and are $\pm$0.022, $\pm$0.049, $\pm$0.099 and $\pm$0.077 from (c) to (f), similar for all bins.

Projections of away-side three-particle correlations along the diagonal $\Sigma$ within 0 < $\Delta$ < 0.35 (squares) and along the off-diagonal $\Delta$ within |$\Sigma$| < 0.35 (points) in (a) d+Au and (b) 12% central Au+Au collisions. The shaded areas indicate systematic uncertainties on the off-diagonal projections. The histogram in (a) is the near-side off-diagonal projection. The histogram in (b) is the away-side off-diagonal projection of our result with a = b = 1. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Projections of away-side three-particle correlations along the diagonal $\Sigma$ within 0 < $\Delta$ < 0.35 (squares) and along the off-diagonal $\Delta$ within |$\Sigma$| < 0.35 (points) in (a) d+Au and (b) 12% central Au+Au collisions. The shaded areas indicate systematic uncertainties on the off-diagonal projections. The histogram in (a) is the near-side off-diagonal projection. The histogram in (b) is the away-side off-diagonal projection of our result with a = b = 1. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Three-particle correlation strength per radian$^2$ versus ($N_{part}$/2)$^{1/3}$ where $N_{part}$ is the number of participants. Some of the data points have been displaced in $N_{part}$ for clarity.

Minimum-bias (0–80% of the collision cross section) v2(pT ) for identified hadrons at |η| < 1 from Au+Au collisions at √sNN = 62.4 GeV. To facilitate comparisons between panels, v2 values for inclusive charged hadrons are displayed in each panel. The error bars on the data points represent statistical uncertainties. Systematic uncertainties for the identified particles are shown as shaded bands around v2 = 0.

Minimum-bias (0–80% of the collision cross section) v2(pT ) for identified hadrons at |η| < 1 from Au+Au collisions at √sNN = 62.4 GeV. To facilitate comparisons between panels, v2 values for inclusive charged hadrons are displayed in each panel. The error bars on the data points represent statistical uncertainties. Systematic uncertainties for the identified particles are shown as shaded bands around v2 = 0.

Minimum-bias (0–80% of the collision cross section) v2(pT ) for identified hadrons at |η| < 1 from Au+Au collisions at √sNN = 62.4 GeV. To facilitate comparisons between panels, v2 values for inclusive charged hadrons are displayed in each panel. The error bars on the data points represent statistical uncertainties. Systematic uncertainties for the identified particles are shown as shaded bands around v2 = 0.

Minimum-bias (0–80% of the collision cross section) v2(pT ) for identified hadrons at |η| < 1 from Au+Au collisions at √sNN = 62.4 GeV. To facilitate comparisons between panels, v2 values for inclusive charged hadrons are displayed in each panel. The error bars on the data points represent statistical uncertainties. Systematic uncertainties for the identified particles are shown as shaded bands around v2 = 0.

Minimum-bias (0–80% of the collision cross section) v2(pT ) for identified hadrons at |η| < 1 from Au+Au collisions at √sNN = 62.4 GeV. To facilitate comparisons between panels, v2 values for inclusive charged hadrons are displayed in each panel. The error bars on the data points represent statistical uncertainties. Systematic uncertainties for the identified particles are shown as shaded bands around v2 = 0.

Minimum-bias (0–80% of the collision cross section) v2(pT ) for identified hadrons at |η| < 1 from Au+Au collisions at √sNN = 62.4 GeV. To facilitate comparisons between panels, v2 values for inclusive charged hadrons are displayed in each panel. The error bars on the data points represent statistical uncertainties. Systematic uncertainties for the identified particles are shown as shaded bands around v2 = 0.

Minimum-bias (0–80% of the collision cross section) v2(pT ) for identified hadrons at |η| < 1 from Au+Au collisions at √sNN = 62.4 GeV. To facilitate comparisons between panels, v2 values for inclusive charged hadrons are displayed in each panel. The error bars on the data points represent statistical uncertainties. Systematic uncertainties for the identified particles are shown as shaded bands around v2 = 0.

Minimum-bias (0–80% of the collision cross section) v2(pT ) for identified hadrons at |η| < 1 from Au+Au collisions at √sNN = 62.4 GeV. To facilitate comparisons between panels, v2 values for inclusive charged hadrons are displayed in each panel. The error bars on the data points represent statistical uncertainties. Systematic uncertainties for the identified particles are shown as shaded bands around v2 = 0.

Minimum-bias (0–80% of the collision cross section) v2(pT ) for identified hadrons at |η| < 1 from Au+Au collisions at √sNN = 62.4 GeV. To facilitate comparisons between panels, v2 values for inclusive charged hadrons are displayed in each panel. The error bars on the data points represent statistical uncertainties. Systematic uncertainties for the identified particles are shown as shaded bands around v2 = 0.

Minimum-bias (0–80% of the collision cross section) v2(pT ) for identified hadrons at |η| < 1 from Au+Au collisions at √sNN = 62.4 GeV. To facilitate comparisons between panels, v2 values for inclusive charged hadrons are displayed in each panel. The error bars on the data points represent statistical uncertainties. Systematic uncertainties for the identified particles are shown as shaded bands around v2 = 0.

Minimum-bias (0–80% of the collision cross section) v2(pT ) for identified hadrons at |η| < 1 from Au+Au collisions at √sNN = 62.4 GeV. To facilitate comparisons between panels, v2 values for inclusive charged hadrons are displayed in each panel. The error bars on the data points represent statistical uncertainties. Systematic uncertainties for the identified particles are shown as shaded bands around v2 = 0.

Minimum-bias (0–80% of the collision cross section) v2(pT ) for identified hadrons at |η| < 1 from Au+Au collisions at √sNN = 62.4 GeV. To facilitate comparisons between panels, v2 values for inclusive charged hadrons are displayed in each panel. The error bars on the data points represent statistical uncertainties. Systematic uncertainties for the identified particles are shown as shaded bands around v2 = 0.

Minimum-bias (0–80% of the collision cross section) v2(pT ) for identified hadrons at |η| < 1 from Au+Au collisions at √sNN = 62.4 GeV. To facilitate comparisons between panels, v2 values for inclusive charged hadrons are displayed in each panel. The error bars on the data points represent statistical uncertainties. Systematic uncertainties for the identified particles are shown as shaded bands around v2 = 0.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The unidentified charged hadron, charged pion, $K^0_S$, charged kaon, proton and Λ+Λ v2 as a function of pT for 10%–40%, 0%–10% and 40%–80% of the Au+Au interaction cross section at √sNN = 62.4 GeV. Weak-decay feed-down errors are included in the error bars on the data points while non-flow and tracking error uncertainties are plotted as bands around v2 = 0, which apply to all identified particles. The errors are asymmetric and the portion of the error band above (below) zero represents the negative (positive) error.

The ratio of Λ v2 to Λbar v2. The data are from minimum bias Au+Au collisions at √sNN = 62.4 and 200 GeV. The bands show the average values of the ratios within the indicated pT ranges.

The ratio of Λ v2 to Λbar v2. The data are from minimum bias Au+Au collisions at √sNN = 62.4 and 200 GeV. The bands show the average values of the ratios within the indicated pT ranges.

The pT integrated ratio of Λ v2 to Λbar v2 for three centrality intervals 0%–10%, 10%–40%, and 40%–80%. The data are from Au+Au collisions at √sNN = 62.4 and 200 GeV.

The pT integrated ratio of Λ v2 to Λbar v2 for three centrality intervals 0%–10%, 10%–40%, and 40%–80%. The data are from Au+Au collisions at √sNN = 62.4 and 200 GeV.

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

Identified particle v2 from minimum bias collisions at √sNN = 62.4 GeV scaled by the number of valence quarks in the hadron (nq) and plotted versus pT/nq (a) and (mT − m0)/nq (b). In each case a polynomial curve is fit to all particles except pions. The ratio of v2/nq to the fit function is shown in the bottom panels (c) and (d).

v2/nq scaled by the mean eccentricity of the initial overlap region versus (mT − m0)/nq for 0%–10%, 10%–40%, and 40%–80% most central Au+Au collisions at √sNN = 62.4 GeV.

v2/nq scaled by the mean eccentricity of the initial overlap region versus (mT − m0)/nq for 0%–10%, 10%–40%, and 40%–80% most central Au+Au collisions at √sNN = 62.4 GeV.

v2/nq scaled by the mean eccentricity of the initial overlap region versus (mT − m0)/nq for 0%–10%, 10%–40%, and 40%–80% most central Au+Au collisions at √sNN = 62.4 GeV.

v2/nq scaled by the mean eccentricity of the initial overlap region versus (mT − m0)/nq for 0%–10%, 10%–40%, and 40%–80% most central Au+Au collisions at √sNN = 62.4 GeV.

v2/nq scaled by the mean eccentricity of the initial overlap region versus (mT − m0)/nq for 0%–10%, 10%–40%, and 40%–80% most central Au+Au collisions at √sNN = 62.4 GeV.

v2/nq scaled by the mean eccentricity of the initial overlap region versus (mT − m0)/nq for 0%–10%, 10%–40%, and 40%–80% most central Au+Au collisions at √sNN = 62.4 GeV.

v2/nq scaled by the mean eccentricity of the initial overlap region versus (mT − m0)/nq for 0%–10%, 10%–40%, and 40%–80% most central Au+Au collisions at √sNN = 62.4 GeV.

v2/nq scaled by the mean eccentricity of the initial overlap region versus (mT − m0)/nq for 0%–10%, 10%–40%, and 40%–80% most central Au+Au collisions at √sNN = 62.4 GeV.

v2/nq scaled by the mean eccentricity of the initial overlap region versus (mT − m0)/nq for 0%–10%, 10%–40%, and 40%–80% most central Au+Au collisions at √sNN = 62.4 GeV.

v2/nq scaled by the mean eccentricity of the initial overlap region versus (mT − m0)/nq for 0%–10%, 10%–40%, and 40%–80% most central Au+Au collisions at √sNN = 62.4 GeV.

v2/nq scaled by the mean eccentricity of the initial overlap region versus (mT − m0)/nq for 0%–10%, 10%–40%, and 40%–80% most central Au+Au collisions at √sNN = 62.4 GeV.

v2/nq scaled by the mean eccentricity of the initial overlap region versus (mT − m0)/nq for 0%–10%, 10%–40%, and 40%–80% most central Au+Au collisions at √sNN = 62.4 GeV.

v2/nq scaled by the mean eccentricity of the initial overlap region versus (mT − m0)/nq for 0%–10%, 10%–40%, and 40%–80% most central Au+Au collisions at √sNN = 62.4 GeV.

v2/nq scaled by the mean eccentricity of the initial overlap region versus (mT − m0)/nq for 0%–10%, 10%–40%, and 40%–80% most central Au+Au collisions at √sNN = 62.4 GeV.

v2/nq scaled by the mean eccentricity of the initial overlap region versus (mT − m0)/nq for 0%–10%, 10%–40%, and 40%–80% most central Au+Au collisions at √sNN = 62.4 GeV.

v2/nq scaled by the mean eccentricity of the initial overlap region versus (mT − m0)/nq for 0%–10%, 10%–40%, and 40%–80% most central Au+Au collisions at √sNN = 62.4 GeV.

v2/nq scaled by the mean eccentricity of the initial overlap region versus (mT − m0)/nq for 0%–10%, 10%–40%, and 40%–80% most central Au+Au collisions at √sNN = 62.4 GeV.

Top panels - minimum bias $v_4$ for pions, charged kaons, $K^0_S$, anti-protons and Λ + Λbar at √sNN = 62.4 GeV. In the left panel the solid (dashed) line shows thevalue for $v_2^2$ for pions (kaons). Intheright panel the dashedline is $v_2^2$ for Λ + Λbar. Bottom panels - $v_4$ scaled by $v_2^2$ (points where $v_4$ and $v_2$ fluctuate around zero are not plotted). Grey bands correspond to the fit results described in the text and Table II. The systematic errors on the $v_4/v_2^2$ ratio from nonflow are included in the error bars leading to asymmetric errors.

Top panels - minimum bias $v_4$ for pions, charged kaons, $K^0_S$, anti-protons and Λ + Λbar at √sNN = 62.4 GeV. In the left panel the solid (dashed) line shows thevalue for $v_2^2$ for pions (kaons). Intheright panel the dashedline is $v_2^2$ for Λ + Λbar. Bottom panels - $v_4$ scaled by $v_2^2$ (points where $v_4$ and $v_2$ fluctuate around zero are not plotted). Grey bands correspond to the fit results described in the text and Table II. The systematic errors on the $v_4/v_2^2$ ratio from nonflow are included in the error bars leading to asymmetric errors.

Top panels - minimum bias $v_4$ for pions, charged kaons, $K^0_S$, anti-protons and Λ + Λbar at √sNN = 62.4 GeV. In the left panel the solid (dashed) line shows thevalue for $v_2^2$ for pions (kaons). Intheright panel the dashedline is $v_2^2$ for Λ + Λbar. Bottom panels - $v_4$ scaled by $v_2^2$ (points where $v_4$ and $v_2$ fluctuate around zero are not plotted). Grey bands correspond to the fit results described in the text and Table II. The systematic errors on the $v_4/v_2^2$ ratio from nonflow are included in the error bars leading to asymmetric errors.

Top panels - minimum bias $v_4$ for pions, charged kaons, $K^0_S$, anti-protons and Λ + Λbar at √sNN = 62.4 GeV. In the left panel the solid (dashed) line shows thevalue for $v_2^2$ for pions (kaons). Intheright panel the dashedline is $v_2^2$ for Λ + Λbar. Bottom panels - $v_4$ scaled by $v_2^2$ (points where $v_4$ and $v_2$ fluctuate around zero are not plotted). Grey bands correspond to the fit results described in the text and Table II. The systematic errors on the $v_4/v_2^2$ ratio from nonflow are included in the error bars leading to asymmetric errors.

Top panels - minimum bias $v_4$ for pions, charged kaons, $K^0_S$, anti-protons and Λ + Λbar at √sNN = 62.4 GeV. In the left panel the solid (dashed) line shows thevalue for $v_2^2$ for pions (kaons). Intheright panel the dashedline is $v_2^2$ for Λ + Λbar. Bottom panels - $v_4$ scaled by $v_2^2$ (points where $v_4$ and $v_2$ fluctuate around zero are not plotted). Grey bands correspond to the fit results described in the text and Table II. The systematic errors on the $v_4/v_2^2$ ratio from nonflow are included in the error bars leading to asymmetric errors.

Top panels - minimum bias $v_4$ for pions, charged kaons, $K^0_S$, anti-protons and Λ + Λbar at √sNN = 62.4 GeV. In the left panel the solid (dashed) line shows thevalue for $v_2^2$ for pions (kaons). Intheright panel the dashedline is $v_2^2$ for Λ + Λbar. Bottom panels - $v_4$ scaled by $v_2^2$ (points where $v_4$ and $v_2$ fluctuate around zero are not plotted). Grey bands correspond to the fit results described in the text and Table II. The systematic errors on the $v_4/v_2^2$ ratio from nonflow are included in the error bars leading to asymmetric errors.

Top panels - minimum bias $v_4$ for pions, charged kaons, $K^0_S$, anti-protons and Λ + Λbar at √sNN = 62.4 GeV. In the left panel the solid (dashed) line shows thevalue for $v_2^2$ for pions (kaons). Intheright panel the dashedline is $v_2^2$ for Λ + Λbar. Bottom panels - $v_4$ scaled by $v_2^2$ (points where $v_4$ and $v_2$ fluctuate around zero are not plotted). Grey bands correspond to the fit results described in the text and Table II. The systematic errors on the $v_4/v_2^2$ ratio from nonflow are included in the error bars leading to asymmetric errors.

Top panels - minimum bias $v_4$ for pions, charged kaons, $K^0_S$, anti-protons and Λ + Λbar at √sNN = 62.4 GeV. In the left panel the solid (dashed) line shows thevalue for $v_2^2$ for pions (kaons). Intheright panel the dashedline is $v_2^2$ for Λ + Λbar. Bottom panels - $v_4$ scaled by $v_2^2$ (points where $v_4$ and $v_2$ fluctuate around zero are not plotted). Grey bands correspond to the fit results described in the text and Table II. The systematic errors on the $v_4/v_2^2$ ratio from nonflow are included in the error bars leading to asymmetric errors.

Top panel - $v_2$ for pions and protons at √sNN = 62.4 and 17.3 GeV. The 62.4 GeV data are from TOF and dE/dx measurements combined. Middle and bottom panel - ratios of $v_2$ for $\pi^++\pi^-$, $K^0_S$, p+p, Λ+Λbar and at different center-of-mass energies scaled by the values at 62.4 GeV. The grey and yellow bands represent systematic uncertainties in the v2 ratios arising from non-flow effects. The grey bands (above unity) are the uncertainties for the 200 GeV/62.4 GeV data and the yellow bands (below unity) are for the 17.3 GeV/62.4 GeV data.

Top panel - $v_2$ for pions and protons at √sNN = 62.4 and 17.3 GeV. The 62.4 GeV data are from TOF and dE/dx measurements combined. Middle and bottom panel - ratios of $v_2$ for $\pi^++\pi^-$, $K^0_S$, p+p, Λ+Λbar and at different center-of-mass energies scaled by the values at 62.4 GeV. The grey and yellow bands represent systematic uncertainties in the v2 ratios arising from non-flow effects. The grey bands (above unity) are the uncertainties for the 200 GeV/62.4 GeV data and the yellow bands (below unity) are for the 17.3 GeV/62.4 GeV data.

Top panel - $v_2$ for pions and protons at √sNN = 62.4 and 17.3 GeV. The 62.4 GeV data are from TOF and dE/dx measurements combined. Middle and bottom panel - ratios of $v_2$ for $\pi^++\pi^-$, $K^0_S$, p+p, Λ+Λbar and at different center-of-mass energies scaled by the values at 62.4 GeV. The grey and yellow bands represent systematic uncertainties in the v2 ratios arising from non-flow effects. The grey bands (above unity) are the uncertainties for the 200 GeV/62.4 GeV data and the yellow bands (below unity) are for the 17.3 GeV/62.4 GeV data.

Top panel - $v_2$ for pions and protons at √sNN = 62.4 and 17.3 GeV. The 62.4 GeV data are from TOF and dE/dx measurements combined. Middle and bottom panel - ratios of $v_2$ for $\pi^++\pi^-$, $K^0_S$, p+p, Λ+Λbar and at different center-of-mass energies scaled by the values at 62.4 GeV. The grey and yellow bands represent systematic uncertainties in the v2 ratios arising from non-flow effects. The grey bands (above unity) are the uncertainties for the 200 GeV/62.4 GeV data and the yellow bands (below unity) are for the 17.3 GeV/62.4 GeV data.

Top panel - $v_2$ for pions and protons at √sNN = 62.4 and 17.3 GeV. The 62.4 GeV data are from TOF and dE/dx measurements combined. Middle and bottom panel - ratios of $v_2$ for $\pi^++\pi^-$, $K^0_S$, p+p, Λ+Λbar and at different center-of-mass energies scaled by the values at 62.4 GeV. The grey and yellow bands represent systematic uncertainties in the v2 ratios arising from non-flow effects. The grey bands (above unity) are the uncertainties for the 200 GeV/62.4 GeV data and the yellow bands (below unity) are for the 17.3 GeV/62.4 GeV data.

Top panel - $v_2$ for pions and protons at √sNN = 62.4 and 17.3 GeV. The 62.4 GeV data are from TOF and dE/dx measurements combined. Middle and bottom panel - ratios of $v_2$ for $\pi^++\pi^-$, $K^0_S$, p+p, Λ+Λbar and at different center-of-mass energies scaled by the values at 62.4 GeV. The grey and yellow bands represent systematic uncertainties in the v2 ratios arising from non-flow effects. The grey bands (above unity) are the uncertainties for the 200 GeV/62.4 GeV data and the yellow bands (below unity) are for the 17.3 GeV/62.4 GeV data.

Top panel - $v_2$ for pions and protons at √sNN = 62.4 and 17.3 GeV. The 62.4 GeV data are from TOF and dE/dx measurements combined. Middle and bottom panel - ratios of $v_2$ for $\pi^++\pi^-$, $K^0_S$, p+p, Λ+Λbar and at different center-of-mass energies scaled by the values at 62.4 GeV. The grey and yellow bands represent systematic uncertainties in the v2 ratios arising from non-flow effects. The grey bands (above unity) are the uncertainties for the 200 GeV/62.4 GeV data and the yellow bands (below unity) are for the 17.3 GeV/62.4 GeV data.

Top panel - $v_2$ for pions and protons at √sNN = 62.4 and 17.3 GeV. The 62.4 GeV data are from TOF and dE/dx measurements combined. Middle and bottom panel - ratios of $v_2$ for $\pi^++\pi^-$, $K^0_S$, p+p, Λ+Λbar and at different center-of-mass energies scaled by the values at 62.4 GeV. The grey and yellow bands represent systematic uncertainties in the v2 ratios arising from non-flow effects. The grey bands (above unity) are the uncertainties for the 200 GeV/62.4 GeV data and the yellow bands (below unity) are for the 17.3 GeV/62.4 GeV data.

Pion-kaon correlation functions and ratios of correlation functions. Errors are statistical only.

Pion-kaon correlation functions and ratios of correlation functions. Errors are statistical only.

Modeled pion-kaon correlation functions and ratios of correlation functions. Errors are statistical only from the calculations.

Modeled pion-kaon correlation functions and ratios of correlation functions. Errors are statistical only from the calculations.

The 3ΛH (solid squares) and Λ (open circles) yield distributions versus cτ. The solid lines represent the cτ fits. The inset depicts the $\chi^2$ distribution of the best 3ΛH cτ fit. The error bars represent the statistical uncertaintiesonly.

Particle ratios as a function of center-of-mass energy per nucleon-nucleon collision. The 4ΛH/(4He × Λ/p) ratio is corrected for the spin degeneracy factor (38). The error bars represent statistical uncertainties only.

Longitudinal single-spin asymmetry, AL, for W± events as a function of the leptonic pseudorapidity, $\eta_e$, for 25 < $E^e_T$ < 50 GeV in comparison to theory predictions

Longitudinal single-spin asymmetry, AL, for W± events as a function of the leptonic pseudorapidity, $\eta_e$, for 25 < $E^e_T$ < 50 GeV in comparison to theory predictions

The TPC mid-rapidity multiplicity distributions ($|\eta|$ < 0.5) for the corresponding E-FTPC selected centrality bins.

Uncorrected charged particle multiplicity distribution measured in the TPC within $|\eta|$ < 0.5 in pp collisions at 200 GeV.

The ratio of the transverse overlap area $S_{⊥}$ to $(N_{part}/2)^{2/3}$ versus $(N_{part}/2)^{2/3}$.

The ratio of the transverse overlap area $S_{⊥}$ to $(N_{part}/2)^{2/3}$ versus $(N_{part}/2)^{2/3}$.

The ratio of the transverse overlap area $S_{⊥}$ to $(N_{part}/2)^{2/3}$ versus $(N_{part}/2)^{2/3}$.

The ratio of the charged pion multiplicity to the transverse overlap area $dN_{\pi}/dy/S_{⊥}$ versus $N_{coll}/N_{part}$. Errors shown are total errors, dominated by systematic uncertainties. The systematic uncertainties are correlated between Npart, Ncoll, and S⊥, and are largely canceled in the plotted ratio quantities.

The ratio of the charged pion multiplicity to the transverse overlap area $dN_{\pi}/dy/S_{⊥}$ versus $N_{coll}/N_{part}$. Errors shown are total errors, dominated by systematic uncertainties. The systematic uncertainties are correlated between Npart, Ncoll, and S⊥, and are largely canceled in the plotted ratio quantities.

The ratio of the charged pion multiplicity to the transverse overlap area $dN_{\pi}/dy/S_{⊥}$ versus $N_{coll}/N_{part}$. Errors shown are total errors, dominated by systematic uncertainties. The systematic uncertainties are correlated between Npart, Ncoll, and S⊥, and are largely canceled in the plotted ratio quantities.

Energy loss effect for $\pi^{+-}$ (a), $K^{+-}$ (b), and p and pbar (c) at mid-rapidity (|y| < 0.1) as a function of particle momentum magnitude in 200 GeV pp and 62.4 GeV central 0-5% Au+Au collisions. Only negative particles are shown; energy loss for particles and antiparticles are the same. Errors shown are statistical only. The pion energy loss is already corrected by the track reconstruction algorithm.

Energy loss effect for $\pi^{+-}$ (a), $K^{+-}$ (b), and p and pbar (c) at mid-rapidity (|y| < 0.1) as a function of particle momentum magnitude in 200 GeV pp and 62.4 GeV central 0-5% Au+Au collisions. Only negative particles are shown; energy loss for particles and antiparticles are the same. Errors shown are statistical only. The pion energy loss is already corrected by the track reconstruction algorithm.

Energy loss effect for $\pi^{+-}$ (a), $K^{+-}$ (b), and p and pbar (c) at mid-rapidity (|y| < 0.1) as a function of particle momentum magnitude in 200 GeV pp and 62.4 GeV central 0-5% Au+Au collisions. Only negative particles are shown; energy loss for particles and antiparticles are the same. Errors shown are statistical only. The pion energy loss is already corrected by the track reconstruction algorithm.

Vertex-finding efficiency (ǫvtx) and fake vertex rate (δfake) as a function of the number of good global tracks (a) and the number of good primary tracks (b). Errors shown or smaller than the point size are statistical only.

Vertex-finding efficiency (ǫvtx) and fake vertex rate (δfake) as a function of the number of good global tracks (a) and the number of good primary tracks (b). Errors shown or smaller than the point size are statistical only.

The $p_{T}$ dependent correction to particle spectra due to fake vertex events, $\epsilon_{fake}(p_{T})$, in 200 GeV minimum bias pp and d+Au collisions. Errors shown are statistical only.

The $p_{T}$ dependent correction to particle spectra due to fake vertex events, $\epsilon_{fake}(p_{T})$, in 200 GeV minimum bias pp and d+Au collisions. Errors shown are statistical only.

Efficiency (product of tracking efficiency and detector acceptance) of π−, K−, and p in pp (a) and d+Au collisions (b) at 200 GeV as a function of input MC p⊥. Errors shown are binomial errors. The curves are parameterizations to the efficiency data and are used for corrections in the analysis.

Efficiency (product of tracking efficiency and detector acceptance) of π−, K−, and p in pp (a) and d+Au collisions (b) at 200 GeV as a function of input MC p⊥. Errors shown are binomial errors. The curves are parameterizations to the efficiency data and are used for corrections in the analysis.

Efficiency (product of tracking efficiency and detector acceptance) of π−, K−, and p in 70-80% peripheral Au+Au (a) and 0-5% central Au+Au collisions (b) at 62.4 GeV as a function of input MC p⊥. Errors shown are binomial errors. The curves are parameterizations to the efficiency data and are used for corrections in the analysis.

Efficiency (product of tracking efficiency and detector acceptance) of π−, K−, and p in 70-80% peripheral Au+Au (a) and 0-5% central Au+Au collisions (b) at 62.4 GeV as a function of input MC p⊥. Errors shown are binomial errors. The curves are parameterizations to the efficiency data and are used for corrections in the analysis.

Efficiency (product of tracking efficiency and detector acceptance) of π−, K−, and p in 70-80% peripheral Au+Au (a) and 0-5% central Au+Au collisions (b) at 62.4 GeV as a function of input MC p⊥. Errors shown are binomial errors. The curves are parameterizations to the efficiency data and are used for corrections in the analysis.

Efficiency (product of tracking efficiency and detector acceptance) of π−, K−, and p in 70-80% peripheral Au+Au (a) and 0-5% central Au+Au collisions (b) at 62.4 GeV as a function of input MC p⊥. Errors shown are binomial errors. The curves are parameterizations to the efficiency data and are used for corrections in the analysis.

The dca distributions of protons and antiprotons for 0.40 < p⊥ < 0.45 GeV/c in 200 GeV minimum bias d+Au. Errors shown are statistical only.

The dca distributions of protons and antiprotons for 0.70 < p⊥ < 0.75 GeV/c in 200 GeV minimum bias d+Au. Errors shown are statistical only.

The dca distributions of protons and antiprotons for 0.40 < p⊥ < 0.45 GeV/c in 62.4 GeV 0-5% central Au+Au collisions. Errors shown are statistical only.

The dca distributions of protons and antiprotons for 0.70 < p⊥ < 0.75 GeV/c in 62.4 GeV 0-5% central Au+Au collisions. Errors shown are statistical only.

Pion background fraction from weak decays ($\Lambda, K_S^0$) and $\mu^{+-}$ contamination as a function of p⊥ in minimum bias d+Au collisions at 200 GeV. Errors shown are statistical only.

Pion background fraction from weak decays ($\Lambda, K_S^0$) and $\mu^{+-}$ contamination as a function of p⊥ in minimum bias d+Au collisions at 200 GeV. Errors shown are statistical only.

Mid-rapidity identified antiproton spectra in 200 GeV minimum bias d+Au (a) and 62.4 GeV central Au+Au collisions (b) measured by dE/dx together with those by TOF [46, 47]. The dE/dx data are from |y| < 0.1 and the TOF data are from |y| < 0.5. The curves are various fits to the dE/dx data for extrapolation. The quadratic sum of statistical errors and point-to-point systematic errors are plotted, but are smaller than the point size.

Mid-rapidity identified antiproton spectra in 200 GeV minimum bias d+Au (a) and 62.4 GeV central Au+Au collisions (b) measured by dE/dx together with those by TOF [46, 47]. The dE/dx data are from |y| < 0.1 and the TOF data are from |y| < 0.5. The curves are various fits to the dE/dx data for extrapolation. The quadratic sum of statistical errors and point-to-point systematic errors are plotted, but are smaller than the point size.

Mid-rapidity identified antiproton spectra in 200 GeV minimum bias d+Au (a) and 62.4 GeV central Au+Au collisions (b) measured by dE/dx together with those by TOF [46, 47]. The dE/dx data are from |y| < 0.1 and the TOF data are from |y| < 0.5. The curves are various fits to the dE/dx data for extrapolation. The quadratic sum of statistical errors and point-to-point systematic errors are plotted, but are smaller than the point size.

Mid-rapidity identified antiproton spectra in 200 GeV minimum bias d+Au (a) and 62.4 GeV central Au+Au collisions (b) measured by dE/dx together with those by TOF [46, 47]. The dE/dx data are from |y| < 0.1 and the TOF data are from |y| < 0.5. The curves are various fits to the dE/dx data for extrapolation. The quadratic sum of statistical errors and point-to-point systematic errors are plotted, but are smaller than the point size.

Mid-rapidity identified antiproton spectra in 200 GeV minimum bias d+Au (a) and 62.4 GeV central Au+Au collisions (b) measured by dE/dx together with those by TOF [46, 47]. The dE/dx data are from |y| < 0.1 and the TOF data are from |y| < 0.5. The curves are various fits to the dE/dx data for extrapolation. The quadratic sum of statistical errors and point-to-point systematic errors are plotted, but are smaller than the point size.

Mid-rapidity identified antiproton spectra in 200 GeV minimum bias d+Au (a) and 62.4 GeV central Au+Au collisions (b) measured by dE/dx together with those by TOF [46, 47]. The dE/dx data are from |y| < 0.1 and the TOF data are from |y| < 0.5. The curves are various fits to the dE/dx data for extrapolation. The quadratic sum of statistical errors and point-to-point systematic errors are plotted, but are smaller than the point size.

Mid-rapidity identified antiproton spectra in 200 GeV minimum bias d+Au (a) and 62.4 GeV central Au+Au collisions (b) measured by dE/dx together with those by TOF [46, 47]. The dE/dx data are from |y| < 0.1 and the TOF data are from |y| < 0.5. The curves are various fits to the dE/dx data for extrapolation. The quadratic sum of statistical errors and point-to-point systematic errors are plotted, but are smaller than the point size.

Mid-rapidity identified antiproton spectra in 200 GeV minimum bias d+Au (a) and 62.4 GeV central Au+Au collisions (b) measured by dE/dx together with those by TOF [46, 47]. The dE/dx data are from |y| < 0.1 and the TOF data are from |y| < 0.5. The curves are various fits to the dE/dx data for extrapolation. The quadratic sum of statistical errors and point-to-point systematic errors are plotted, but are smaller than the point size.

Mid-rapidity identified antiproton spectra in 200 GeV minimum bias d+Au (a) and 62.4 GeV central Au+Au collisions (b) measured by dE/dx together with those by TOF [46, 47]. The dE/dx data are from |y| < 0.1 and the TOF data are from |y| < 0.5. The curves are various fits to the dE/dx data for extrapolation. The quadratic sum of statistical errors and point-to-point systematic errors are plotted, but are smaller than the point size.

Mid-rapidity identified antiproton spectra in 200 GeV minimum bias d+Au (a) and 62.4 GeV central Au+Au collisions (b) measured by dE/dx together with those by TOF [46, 47]. The dE/dx data are from |y| < 0.1 and the TOF data are from |y| < 0.5. The curves are various fits to the dE/dx data for extrapolation. The quadratic sum of statistical errors and point-to-point systematic errors are plotted, but are smaller than the point size.

Mid-rapidity (|y| < 0.1) identified particle spectra in d+Au collisions at 200 GeV. The p and pbar spectra are inclusive, including weak decay products. Spectra are plotted for three centrality bins and for minimum bias events. Spectra from top to bottom are for 0-20% scaled by 4, 20-40% scaled by 2, minimum bias not scaled, and 40-100% scaled by 1/2. Errors plotted are statistical and point-to-point systematic errors added in quadrature, but are smaller than the point size. The curves are the blast-wave model fits to the minimum bias data; the normalizations of the curves are fixed by the corresponding negative particle spectra.

Mid-rapidity (|y| < 0.1) identified particle spectra in d+Au collisions at 200 GeV. The p and pbar spectra are inclusive, including weak decay products. Spectra are plotted for three centrality bins and for minimum bias events. Spectra from top to bottom are for 0-20% scaled by 4, 20-40% scaled by 2, minimum bias not scaled, and 40-100% scaled by 1/2. Errors plotted are statistical and point-to-point systematic errors added in quadrature, but are smaller than the point size. The curves are the blast-wave model fits to the minimum bias data; the normalizations of the curves are fixed by the corresponding negative particle spectra.

Mid-rapidity (|y| < 0.1) identified particle spectra in d+Au collisions at 200 GeV. The p and pbar spectra are inclusive, including weak decay products. Spectra are plotted for three centrality bins and for minimum bias events. Spectra from top to bottom are for 0-20% scaled by 4, 20-40% scaled by 2, minimum bias not scaled, and 40-100% scaled by 1/2. Errors plotted are statistical and point-to-point systematic errors added in quadrature, but are smaller than the point size. The curves are the blast-wave model fits to the minimum bias data; the normalizations of the curves are fixed by the corresponding negative particle spectra.

Mid-rapidity (|y| < 0.1) identified particle spectra in Au+Au collisions at 62.4 GeV. The p and p spectra are inclusive, including weak decay products. Spectra are plotted for nine centrality bins, from top to bottom, 0-5%, 5-10%, 10-20%, 20-30%, 30-40%, 40-50%, 50-60%, 60-70%, and 70-80%. Errors plotted are statistical and point-to-point systematic errors added in quadrature, but are smaller than the point size. The curves are the blast-wave model fits to the spectra; the normalizations of the curves in (a,b) are fixed by the corresponding negative particle spectra.

Mid-rapidity (|y| < 0.1) identified particle spectra in Au+Au collisions at 62.4 GeV. The p and p spectra are inclusive, including weak decay products. Spectra are plotted for nine centrality bins, from top to bottom, 0-5%, 5-10%, 10-20%, 20-30%, 30-40%, 40-50%, 50-60%, 60-70%, and 70-80%. Errors plotted are statistical and point-to-point systematic errors added in quadrature, but are smaller than the point size. The curves are the blast-wave model fits to the spectra; the normalizations of the curves in (a,b) are fixed by the corresponding negative particle spectra.

Mid-rapidity (|y| < 0.1) identified particle spectra in Au+Au collisions at 62.4 GeV. The p and p spectra are inclusive, including weak decay products. Spectra are plotted for nine centrality bins, from top to bottom, 0-5%, 5-10%, 10-20%, 20-30%, 30-40%, 40-50%, 50-60%, 60-70%, and 70-80%. Errors plotted are statistical and point-to-point systematic errors added in quadrature, but are smaller than the point size. The curves are the blast-wave model fits to the spectra; the normalizations of the curves in (a,b) are fixed by the corresponding negative particle spectra.

Mid-rapidity (|y| < 0.1) identified particle spectra in Au+Au collisions at 62.4 GeV. The p and p spectra are inclusive, including weak decay products. Spectra are plotted for nine centrality bins, from top to bottom, 0-5%, 5-10%, 10-20%, 20-30%, 30-40%, 40-50%, 50-60%, 60-70%, and 70-80%. Errors plotted are statistical and point-to-point systematic errors added in quadrature, but are smaller than the point size. The curves are the blast-wave model fits to the spectra; the normalizations of the curves in (a,b) are fixed by the corresponding negative particle spectra.

Mid-rapidity (|y| < 0.1) identified pion spectra in Au+Au collisions at 130 GeV. Spectra are plotted for eight centrality bins, from top to bottom, 0-6%, 6-11%, 11-18%, 18- 26%, 26-34%, 34-45%, 45-58%, and 58-85%. Errors plotted are statistical and point-to-point systematic errors added in quadrature, but they are smaller than the data point size. The curves are the Bose-Einstein fits to the spectra; the normalizations of the curves are fixed by the corresponding negative particle spectra.

Estimate of the product of the Bjorken energy density and the formation time ($\epsilon_{B_j}\tau$) as a function of centrality Npart. Errors shown are the quadratic sum of statistical and systematic uncertainties.

Estimate of the product of the Bjorken energy density and the formation time ($\epsilon_{B_j}\tau$) as a function of centrality Npart. Errors shown are the quadratic sum of statistical and systematic uncertainties.

Estimate of the product of the Bjorken energy density and the formation time ($\epsilon_{B_j}\tau$) as a function of centrality Npart. Errors shown are the quadratic sum of statistical and systematic uncertainties.

The K+/π+ and K−/π− ratios as a function of the collision energy in pp and central heavy-ion collisions.

The K+/K− ratio as a function of the collision energy in central heavy-ion collisions.

The K−/π− ratio as a function of the number of participants Npart in heavy-ion collisions at RHIC. Errors shown are the quadratic sum of statistical and systematic uncertainties.

The K−/π− ratio as a function of the number of participants Npart in heavy-ion collisions at RHIC. Errors shown are the quadratic sum of statistical and systematic uncertainties.

The K−/π− ratio as a function of the number of participants Npart in heavy-ion collisions at RHIC. Errors shown are the quadratic sum of statistical and systematic uncertainties.

The K−/π− ratio as a function of dNπ/dy/S⊥ in heavy-ion collisions at RHIC. Errors shown are the quadratic sum of statistical and systematic uncertainties.

The K−/π− ratio as a function of dNπ/dy/S⊥ in heavy-ion collisions at RHIC. Errors shown are the quadratic sum of statistical and systematic uncertainties.

The K−/π− ratio as a function of dNπ/dy/S⊥ in heavy-ion collisions at RHIC. Errors shown are the quadratic sum of statistical and systematic uncertainties.

Baryon chemical potential extracted for central heavy-ion collisions as a function of the collision energy. Errors shown are the total statistical and systematic errors.

The extracted chemical freeze-out temperatures for central heavy-ion collisions as a function of the collision energy. Errors shown are the total statistical and systematic errors.

The extracted chemical freeze-out temperatures for central heavy-ion collisions as a function of the collision energy. Errors shown are the total statistical and systematic errors.

The extracted kinetic freeze-out temperatures for central heavy-ion collisions as a function of the collision energy. Errors shown are the total statistical and systematic errors.

Average transverse radial flow velocity extracted from the blast-wave model for central heavy-ion collisions as a function of the collision energy. Errors shown are the total statistical and systematic errors.

Phase diagram plot of chemical freezeout temperature versus baryon chemical potential extracted from chemical equilibrium models. Errors shown are the total statistical and systematic errors.

Phase diagram plot of chemical freezeout temperature versus baryon chemical potential extracted from chemical equilibrium models. Errors shown are the total statistical and systematic errors.

Differential cross-sections obtained from the optical and MC Glauber calculations for Au+Au collisions at 200 GeV. Statistical errors are smaller than the point size.

Differential cross-sections obtained from the optical and MC Glauber calculations for Au+Au collisions at 200 GeV. Statistical errors are smaller than the point size.

FIG. 2: a) left side: The correlation data for the ratio of the histograms of same-event-pairs to mixed-event-pairs for unlike-sign charged pairs, shown in a two-dimensional (2-D) perspective plot $\Delta\phi$ - $\Delta\eta$. The plot was normalized to a mean of 1. b) right side: The similar correlation data for like-sign charge pairs.

FIG. 3: a) left side: Folded correlation data for unlike-sign charge pairs on $\Delta\phi$ and $\Delta\eta$ based on demonstrated symmetries in the data. This increases the statistics in a typical bin by a factor of four. Henceforth we will be dealing with folded data only. b) right side: Similar folded data for like-sign charge pairs.

FIG. 3: a) left side: Folded correlation data for unlike-sign charge pairs on $\Delta\phi$ and $\Delta\eta$ based on demonstrated symmetries in the data. This increases the statistics in a typical bin by a factor of four. Henceforth we will be dealing with folded data only. b) right side: Similar folded data for like-sign charge pairs.

FIG. 4: “(Color online)”a) left side: The 2 dimensional (2-D) approximately gaussian signal shape equation (4) from the fit to the normalized and folded unlike-sign charge pairs signal data. b) right side: The unlike-sign charge pairs signal data corresponding to the adjoining signal function on the left side.

FIG. 4: “(Color online)”a) left side: The 2 dimensional (2-D) approximately gaussian signal shape equation (4) from the fit to the normalized and folded unlike-sign charge pairs signal data. b) right side: The unlike-sign charge pairs signal data corresponding to the adjoining signal function on the left side.

FIG. 5 :“(Color online)”a) left side: A perspective plot of the fit to the 2-D like-sign charge pairs signal shape of equation (5). b) right side: Like-sign charge pairs signal data corresponding to the adjacent signal fit on the left side.

FIG. 5: “(Color online)”a) left side: A perspective plot of the fit to the 2-D like-sign charge pairs signal shape of equation (5). b) right side: Like-sign charge pairs signal data corresponding to the adjacent signal fit on the left side.

FIG. 6: “(Color online)”a) left side: The charge dependent (CD) signal shape is a 2 dimensional (2-D) approximate gaussian which is symmetrical. The average gaussian width is 27.5$^{\circ}$ $\pm$ 3.2$^{\circ}$ (0.48 $\pm$ 0.056 rad) both in $\Delta\phi$ and $\Delta\eta$. Thus we are observing a greater probability for unlike-sign charge pairs of particles than for like-sign charge pairs emitted randomly on 2-D $\eta\phi$ directions. b) right side: The CD signal data corresponding to the adjacent signal fit on the left.

FIG. 6: “(Color online)”a) left side: The charge dependent (CD) signal shape is a 2 dimensional (2-D) approximate gaussian which is symmetrical. The average gaussian width is 27.5$^{\circ}$ $\pm$ 3.2$^{\circ}$ (0.48 $\pm$ 0.056 rad) both in $\Delta\phi$ and $\Delta\eta$. Thus we are observing a greater probability for unlike-sign charge pairs of particles than for like-sign charge pairs emitted randomly on 2-D $\eta\phi$ directions. b) right side: The CD signal data corresponding to the adjacent signal fit on the left.

FIG. 7: “(Color online)”a) left side: The fit to the charge independent (CI) signal shape which is the sum of the fits of like-sign plus unlike-sign charge pairs signals. The 2-D gaussian equivalent RMS signal has a $\Delta\phi$ width of about 32$^{\circ}$ (0.52 rad), and $\Delta\eta$ width of about 66$^{\circ}$ (1.15 rad) which is about double the $\Delta\phi$ width. b) right side: The CI signal data corresponding to the adjacent fit on the left.

FIG. 7: “(Color online)”a) left side: The fit to the charge independent (CI) signal shape which is the sum of the fits of like-sign plus unlike-sign charge pairs signals. The 2-D gaussian equivalent RMS signal has a $\Delta\phi$ width of about 32$^{\circ}$ (0.52 rad), and $\Delta\eta$ width of about 66$^{\circ}$ (1.15 rad) which is about double the $\Delta\phi$ width. b) right side: The CI signal data corresponding to the adjacent fit on the left.

FIG. 8: a) left side: The charge independent (CI) signal data with the lower range of elliptic flow amplitude and the best $\chi^2$ (the same as Figure 7b) plotted as a 2-D perspective plot on $\Delta\phi$ vs. $\Delta\eta$. b) right side: The charge independent (CI) signal data with our maximum elliptic flow amplitude used in our analysis ($\chi^2$ was worse by 1$\sigma$).

FIG. 8: a) left side: The charge independent (CI) signal data with the lower range of elliptic flow amplitude and the best $\chi^2$ (the same as Figure 7b) plotted as a 2-D perspective plot on $\Delta\phi$ vs. $\Delta\eta$. b) right side: The charge independent (CI) signal data with our maximum elliptic flow amplitude used in our analysis ($\chi^2$ was worse by 1$\sigma$).

The number of background events obtained from the 1- and 2-leg predictions derived from data, together with the direct observation in data, in bins in ChF, where either the leading or subleading jet has a ChF within the bin edges, and both have a ChF below the upper bin threshold. The bottom panel shows the ratios of the observation in data to the 1-leg and the 2-leg background predictions.

The expected and observed 95% CL upper limits on the production cross section for SIMPs with masses between 1 and 1000 GeV, with the assumption that the SIMP interaction in the detector can be approximated as neutron-like. The theoretical prediction of a simplified model incorporating this approximation and including a scalar mediator with couplings g_chi = -1 and g_q = 1 is also shown (red line). For masses above 100 GeV, where the modelling of the SIMP-nucleon interaction becomes more speculative, the obtained cross section upper limits are increasingly uncertain (shaded area).