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

Measured and calculated asymmetries vs. di-jet pseudorapidity sum for $+\hat{z}$ (left) and $−\hat{z}$ (right) beams. (a,b): Fraction of the calculated di-jet cross section with a quark (gluon) from the $+\hat{z}$ $(−\hat{z})$ beam. (c,d): Unweighted asymmetries compared with pQCD calculations [20] (histograms) for two models of quark Sivers functions fitted to SIDIS results [8]. (e,f): Asymmetries for $|\sin\zeta|$-weighted yields, compared with calculations [20, 21] based on twist-3 quark-gluon correlations. Vertical (horizontal) bars on the data indicate statistical uncertainties (bin widths). The systematic error bands exclude a $\pm12\%$ beam polarization normalization uncertainty.

$p_{T}^{Part}$ vs. $p_{T}^{Det}$ for SubLeading jets with $R = 0.4$.

$p_{T}^{Part}$ vs. $p_{T}^{Det}$ for SubLeading jets with $R = 0.2$.

$A_{J}$ distributions for Au+Au data (filled symbols) and p+p HT $\oplus$ Au+Au MB (open symbols) for low constituent $p_{T}^{Cut}$ di-jets from Fig. 1 compared to $A_{J}$ distributions calculated assuming the RC and EC null hypotheses, respectively, shown as colored bands; see the text for details.

$dN/d\delta p_{T}$ vs. $\delta p_{T}$ for $p_{T}^{Cut} > 2$ GeV/$c$ jets with $R = 0.4$.

$dN/d\delta p_{T}$ vs. $\delta p_{T}$ for $p_{T}^{Cut} > 0.2$ GeV/$c$ matched jets with $R = 0.4$.

$dN/d\delta p_{T}$ vs. $\delta p_{T}$ for $p_{T}^{Cut} > 2$ GeV/$c$ jets with $R = 0.2$.

$dN/d\delta p_{T}$ vs. $\delta p_{T}$ for $p_{T}^{Cut} > 0.2$ GeV/$c$ matched jets with $R = 0.2$.

Repetition of the analysis shown in Fig. 1 with a smaller resolution parameter $R = 0.2$. Normalized $A_{J}$ distributions for Au+Au HT data (filled symbols) and p+p HT $\oplus$ Au+Au MB (open symbols). The red circles are for jets found using only constituents with $p_{T}^{Cut} > 2$ GeV/$c$ and the black squares are for matched jets found using constituents with $p_{T}^{Cut} > 0.2$ GeV/$c$.

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.

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.

The difference of charge-independent (CI) v2{2} and like-sign (LS) $v_2\{2\}$ for Au+Au and Cu+Cu collisions at 200 (top panel) and 62.4 (bottom panel) GeV vs. the log of $\langle dN_{ch}/d\eta\rangle$.The statistical errors are smaller than the marker size and not visible for most of the data.

The LS and CI four-particle cumulant $v_2\{4\}^4$ for Au+Au collisions at 200 and 62.4 GeV for $0.15 < pT < 2.0$ GeV/$c$. The systematic errors are shown as narrow lines with wide caps at the end and statistical errors are shown as thick lines with narrow caps at the end. Statistical errors are not visible for most of the points.

The LS and CI four-particle cumulant $v_2\{4\}^4$ for Cu+Cu collisions at 200 and 62.4 GeV for $0.15 < p_T < 2.0$ GeV/c. The most central points (two points for Cu+Cu 62.4 GeV) gives $v_2\{4\}^4 < 0$ for all the data sets. The negative values are probably due to large fluctuations in agreement with Eq. (1). These may include contributions from impact parameter spread and finite multiplicity bin width.

The difference of charge-independent (CI) $v_2\{4\}$ and like-sign (LS) $v_2\{4\}$ for Au+Au collisions at 200 and 62.4 GeV vs. the log of $\langle dN_{ch}/d\eta\rangle$.

(Left) The difference between $v_2\{2\}^2$ and $v_2\{4\}^2$ for 200 GeV Au+Au and Cu+Cu collisions for both LS and CI combinations.

(Right) The difference between $v_2\{2\}^2$ and $v_2\{4\}^2$ for 62.4 GeV Au+Au and Cu+Cu collisions for both LS and CI combinations. The statistical and systematic errors are shown as in previous figures.

The upper limit on $\sigma_{v_2}/\langle v_2 \rangle$ for 200 GeV (left) and 62.4 GeV (right) Au+Au collisions from Eq. (9) compared to $\sigma_\varepsilon/\varepsilon$ from Eq. (10) for three different models. The upper limit is found using the LS results for $v_2\{2\}$. Data are from the range $0.15 < p_T < 2.0$ GeV/$c$. The shaded bands reflect the uncertainties on the models which are dominated by uncertainty on the distribution of nucleons inside the nucleus. The uncertainty is only shown for the MCG-N and fKLN-CGC models. The uncertainty on the MCG-Q model is the same as for the MCG-N model but is not shown for the visual clarity.

The upper limit on $\sigma_{v_2}/\langle v_2 \rangle$ for 200 GeV (left) and 62.4 GeV (right) Au+Au collisions from Eq. (9) compared to $\sigma_\varepsilon/\varepsilon$ from Eq. (10) for three different models. The upper limit is found using the LS results for $v_2\{2\}$. Data are from the range $0.15 < p_T < 2.0$ GeV/$c$. The shaded bands reflect the uncertainties on the models which are dominated by uncertainty on the distribution of nucleons inside the nucleus. The uncertainty is only shown for the MCG-N and fKLN-CGC models. The uncertainty on the MCG-Q model is the same as for the MCG-N model but is not shown for the visual clarity.

The STAR data compared to PHOBOS data [34] on $\sigma_{v_2}/\langle v_2 \rangle$ with $\delta_2$ for $\Delta\eta > 2$ taken to be zero (see Fig. 6 from Ref. [34]). The shaded band shows the errors quoted from Ref. [34].

The upper limit on $\sigma_{v_2}/\langle v_2 \rangle$ for 200 GeV (left) and 62.4 GeV (right) Cu+Cu collisions from Eq. (9) compared to $\sigma_\varepsilon/\varepsilon$ from Eq. (10) for three different models.

The upper limit on $\sigma_{v_2}/\langle v_2 \rangle$ for 200 GeV (left) and 62.4 GeV (right) Cu+Cu collisions from Eq. (9) compared to $\sigma_\varepsilon/\varepsilon$ from Eq. (10) for three different models.