(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).