\Delta v_1 between proton and anti-proton vs rapidity in Au+Au 200 GeV 50-80% centrality.

\Delta v_1 between proton and anti-proton vs rapidity in Zr+Zr and Ru+Ru (combined) 200 GeV 50-80% centrality.

\Delta v_1 between proton and anti-proton vs rapidity in Au+Au 27 GeV 50-80% centrality.

\Delta dv1/dy as a function of centrality in Au+Au 200 GeV.

\Delta dv1/dy as a function of centrality in Ru+Ru and Zr+Zr 200 GeV

\Delta dv1/dy as a function of centrality in Au+Au 27 GeV.

Figure 4a

Figure 4b

Figure 4c

Figure 5a

Figure 5b

Figure 5c

Figure 7

Figure 8a

Figure 8b

Figure 8c

Figure 9a

Figure 9b

Figure 9c

Figure 10a

Figure 10b

Figure 10c

Mass dependence of the mid-rapidity $v_1$ slope, $dv_1/dy$, for $\Lambda$, $^{3}_{\Lambda}$H and $^{4}_{\Lambda}$H from the $\sqrt{s_{NN}}$ = 3 GeV 5-40% mid-central Au+Au collisions. The statistical and systematic uncertainties are presented by vertical lines and square brackets, respectively. The slopes of $p$, $d$, $t$, $^3$He and $^4$He from the same collisions are shown as black circles. The blue and dashed green lines are the results of a linear fit to the measured light nuclei and hypernuclei $v_1$ slopes, respectively. For comparison, calculations of transport models plus coalescence afterburner are shown as gold and red bars from JAM model, and blue bars from UrQMD model.

Mass dependence of the mid-rapidity $v_1$ slope, $dv_1/dy$, for $\Lambda$, $^{3}_{\Lambda}$H and $^{4}_{\Lambda}$H from the $\sqrt{s_{NN}}$ = 3 GeV 5-40% mid-central Au+Au collisions. The statistical and systematic uncertainties are presented by vertical lines and square brackets, respectively. The slopes of $p$, $d$, $t$, $^3$He and $^4$He from the same collisions are shown as black circles. The blue and dashed green lines are the results of a linear fit to the measured light nuclei and hypernuclei $v_1$ slopes, respectively. For comparison, calculations of transport models plus coalescence afterburner are shown as gold and red bars from JAM model, and blue bars from UrQMD model.

Mass dependence of the mid-rapidity $v_1$ slope, $dv_1/dy$, for $\Lambda$, $^{3}_{\Lambda}$H and $^{4}_{\Lambda}$H from the $\sqrt{s_{NN}}$ = 3 GeV 5-40% mid-central Au+Au collisions. The statistical and systematic uncertainties are presented by vertical lines and square brackets, respectively. The slopes of $p$, $d$, $t$, $^3$He and $^4$He from the same collisions are shown as black circles. The blue and dashed green lines are the results of a linear fit to the measured light nuclei and hypernuclei $v_1$ slopes, respectively. For comparison, calculations of transport models plus coalescence afterburner are shown as gold and red bars from JAM model, and blue bars from UrQMD model.

Mass dependence of the mid-rapidity $v_1$ slope, $dv_1/dy$, for $\Lambda$, $^{3}_{\Lambda}$H and $^{4}_{\Lambda}$H from the $\sqrt{s_{NN}}$ = 3 GeV 5-40% mid-central Au+Au collisions. The statistical and systematic uncertainties are presented by vertical lines and square brackets, respectively. The slopes of $p$, $d$, $t$, $^3$He and $^4$He from the same collisions are shown as black circles. The blue and dashed green lines are the results of a linear fit to the measured light nuclei and hypernuclei $v_1$ slopes, respectively. For comparison, calculations of transport models plus coalescence afterburner are shown as gold and red bars from JAM model, and blue bars from UrQMD model.

Mass dependence of the mid-rapidity $v_1$ slope, $dv_1/dy$, for $\Lambda$, $^{3}_{\Lambda}$H and $^{4}_{\Lambda}$H from the $\sqrt{s_{NN}}$ = 3 GeV 5-40% mid-central Au+Au collisions. The statistical and systematic uncertainties are presented by vertical lines and square brackets, respectively. The slopes of $p$, $d$, $t$, $^3$He and $^4$He from the same collisions are shown as black circles. The blue and dashed green lines are the results of a linear fit to the measured light nuclei and hypernuclei $v_1$ slopes, respectively. For comparison, calculations of transport models plus coalescence afterburner are shown as gold and red bars from JAM model, and blue bars from UrQMD model.

$v_6$ with respect to the second harmonic event plane as a function of $p_T$ for the minimum bias Au+Au collisions. Background from secondary particles is expected to be less than 15%. Non-flow systematic uncertainties are approximately 20%. Fluctuations in initial geometry can lead to an effect of about a factor of 1.2 to 1.5.

$p_T$- and $\eta$-integrated $v_2$, $v_4$, $v_6$ as a function of centrality. Background from secondary particles is expected to be less than 15%. Non-flow systematic uncertainties are approximately 20%. Fluctuations in initial geometry can lead to an effect of about a factor of 1.2 to 1.5.

Non photonic electron yield in minimum bias D+AU collisions versus $p_{T}$.

Non photonic electron yield in AU+AU collisions versus PT, for a centrality range of 40-80% To obtain a differential cross-section in mb/(GeV2), multiply listed data by 30 Note that, in addition to the statistical and systematical errors, there is a normalization error on the value, given in the second column.

Non photonic electron yield in Au+Au collisions versus $p_{T}$, for a centrality range of 40-80%.

Non photonic electron yield in AU+AU collisions versus PT, for a centrality range of 10-40% To obtain a differential cross-section in mb/(GeV2), multiply listed data by 30 Note that, in addition to the statistical and systematical errors, there is a normalization error on the value, given in the second column.

Non photonic electron yield in Au+Au collisions versus $p_{T}$, for a centrality range of 10-40%.

Non photonic electron yield in AU+AU collisions versus PT, for a centrality range of 0-5% To obtain a differential cross-section in mb/(GeV2), multiply listed data by 30 Note that, in addition to the statistical and systematical errors, there is a normalization error on the value, given in the second column.

Non photonic electron yield in Au+Au collisions versus $p_{T}$, for a centrality range of 0-5%.

Nuclear modification factor for non-photonic electrons in minimum bias D+AU reactions Note that, in addition to the statistical and systematical errors, there is a normalization error on the value, given in the second column.

Nuclear modification factor for non-photonic electrons in minimum bias d+Au reactions.

Nuclear modification factor for non-photonic electrons in AU+AU reactions in the centrality range of 0-5% Note that, in addition to the statistical and systematical errors, there is a normalization error on the value, given in the second column.

Nuclear modification factor for non-photonic electrons in Au+Au reactions in the centrality range of 0-5%.

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$\sigma$).

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.

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).

The centrality dependence of the ratio of charged hadron spectra in backward rapidity to forward rapidity

The ratio of central (0-20%) to peripheral (40-100%) spectra in d+Au collisions for various pseudorapidity regions

$v_2(p_T)$ of $\Xi^{-} + \Xi^{+}$ and $\Omega^{-} + \Omega^{+}$ from 200 GeV Au+Au minimum bias collisions.

Number of quark ($n_q$) scaled $v_2$ as a function of scaled $p_T$ for $\Xi^{-} + \Xi^{+}$ and $\Omega^{-} + \Omega^{+}$ from 200 GeV Au+Au minimum bias collisions.

Directed flow of charged particles as a function of pseudorapidity, for centrality 10%-70%.

Directed flow of charged particles as a function of pseudorapidity, for centrality 10%-70%.

Directed flow of charged particles as a function of pseudorapidity, for centrality 10%-70%.

$v_1$ versus rapidity for charged particles.

$v_1$ versus rapidity for pions.

$v_1$ versus rapidity for protons.

Directed flow of charged particles as a function of pseudorapidity for the 60-70% and 70-80% centrality classes.

Directed flow of charged particles as a function of pseudorapidity for the 10-20%, 20-30%, 30-40%, 40-50% and 50-60% centrality classes.

Directed flow of charged particles as a function of pseudorapidity for the 5-10% centrality class.

Directed flow of charged particles as a function of pseudorapidity for the 0-5% centrality class.

$v_1${3} versus $p_t$ measured in the main TPC (|$\eta$| < 1.3), for centrality 10%-70%.

$v_1${3} versus $p_t$ measured in the Forward TPC (2.5 < |$\eta$| < 4.0), for different centralities.

Directed flow of charged particles as a function of impact parameter for the mid-pseudorapidity region (|$\eta$| < 1.3) and the forward pseudorapidity region (2.5 < |$\eta$| < 4.0.

Charged particle $v_1$ for Au+Au collisions (10%-70%) at 200 GeV as a function of $\eta-y_{beam}$.

Charged particle $v_1$ for Au+Au collisions (10%-70%) at 62.4 GeV as a function of $\eta-y_{beam}$.

Charged particle $v_1$ for Pb+Pb collisions (12.5%-33.5%) at 17.2 GeV as a function of $y-y_{beam}$.

(Color online) Global polarization of $\Lambda$–hyperons as a function of centrality given as fraction of the total inelastic hadronic cross section. Filled circles show the results for Au+Au collisions at $\sqrt{s_{NN}}$=200 GeV (centrality region 20-70%) and open squares indicate the results for Au+Au collisions at $\sqrt{s_{NN}}$=62.4 GeV (centrality region 0-80%). Only statistical uncertainties are shown.

(Color online) Global polarization of $\overline{\Lambda}$–hyperons as a function of $\overline{\Lambda}$ transverse momentum $p^{\overline{\Lambda}}_{t}$. Filled circles show the results for Au+Au collisions at $\sqrt{s_{NN}}$=200 GeV (centrality region 20-70%) and open squares indicate the results for Au+Au collisions at $\sqrt{s_{NN}}$=62.4 GeV (centrality region 0-80%). Only statistical uncertainties are shown.

(Color online) Global polarization of $\overline{\Lambda}$–hyperons as a function of $\overline{\Lambda}$ pseudorapidity $\eta^{\overline{\Lambda}}$. Filled circles show the results for Au+Au collisions at $\sqrt{s_{NN}}$=200 GeV (centrality region 20-70%). A constant line fit to these data points yields $P_{\Lambda}=(1.8\pm 10.8)\times 10^{-3}$ with $\chi^{2}/ndf=5.5/10$. Open squares show the results for Au+Au collisions as $\sqrt{s_{NN}}$=62.4 GeV (centrality region 0-80%). A constant line fit gives $P_{\Lambda}=(-17.6\pm 11.1)\times 10^{-3}$ with $\chi^{2}/ndf=8.0/10$. Only statistical uncertainties are shown.

(Color online) Global polarization of $\overline{\Lambda}$–hyperons as a function of as a function of centrality. Filled circles show the results for Au+Au collisions at $\sqrt{s_{NN}}$=200 GeV (centrality region 20-70%) and open squares indicate the result for Au+Au collisions at $\sqrt{s_{NN}}$=62.4 GeV (centrality region 0-80%). Only statistical uncertainties are shown.

(Color online) Acceptance correction function $A_{0}(p^{H}_{t}, \eta^{H})$ defined in (10) as a function of $\Lambda$ (filled circles) and $\overline{\Lambda}$ (open squares) transverse momentum (top) and pseudorapidity (bottom). The deviation of this function from unity affects the overall scale of the measured global polarization according to Eq. 9. See the text for details and discussions on $A_{0}$ $p^{H}_{t}$ and $\eta^{H}$ dependence.

(Color online) Acceptance correction function $A_{0}(p^{H}_{t}, \eta^{H})$ defined in (10) as a function of $\Lambda$ (filled circles) and $\overline{\Lambda}$ (open squares) transverse momentum (top) and pseudorapidity (bottom). The deviation of this function from unity affects the overall scale of the measured global polarization according to Eq. 9. See the text for details and discussions on $A_{0}$ $p^{H}_{t}$ and $\eta^{H}$ dependence.

(Color online) Function $A_{2}(p^{H}_{t}, \eta^{H})$ defined in (11) as a function of $\Lambda$ (filled circles) and $\overline{\Lambda}$ (open squares) transverse momentum (top) and pseudorapidity (bottom). The deviation of this function from zero defines the contribution to the observable (3) from $P^{(2)}_{H} (p^{H}_{t}, \eta^{H})$ in the expansion (6).

(Color online) Function $A_{2}(p^{H}_{t}, \eta^{H})$ defined in (11) as a function of $\Lambda$ (filled circles) and $\overline{\Lambda}$ (open squares) transverse momentum (top) and pseudorapidity (bottom). The deviation of this function from zero defines the contribution to the observable (3) from $P^{(2)}_{H} (p^{H}_{t}, \eta^{H})$ in the expansion (6).

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

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

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

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

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.