Delta++ reconstruction efficiency times detector acceptance as a function of the invariant mass for minimum bias d+Au collisions. The error shown is due to the available statistics in the simulation.

Delta++ reconstruction efficiency times detector acceptance as a function of the invariant mass for p+p collisions. The error shown is due to the available statistics in the simulation.

Lambda* reconstruction efficiency times detector acceptance as a function of pT for minimum bias d+Au collisions. The error shown is due to the available statistics in the simulation.

Sigma*+- reconstruction efficiency times detector acceptance as a function of pT for minimum bias d+Au collisions. The error shown is due to the available statistics in the simulation.

Sigma*+- reconstruction efficiency times detector acceptance as a function of pT for d+Au at 40-100% centrality. The error shown is due to the available statistics in the simulation.

Sigma*+- reconstruction efficiency times detector acceptance as a function of pT for d+Au at 20-40% centrality . The error shown is due to the available statistics in the simulation.

Sigma*+- reconstruction efficiency times detector acceptance as a function of pT for d+Au at 0-20% centrality . The error shown is due to the available statistics in the simulation.

Raw pi+pi- invariant mass distribution at midrapidity after subtraction of the like-sign reference distribution for minimum bias d+Au collisions with the hadronic cocktail fit.

rho0 mass as a function of pT at |y| < 0.5 for d+A at 0-20 % centrality.

rho0 mass as a function of pT at |y| < 0.5 for d+A at 20-40 % centrality.

rho0 mass as a function of pT at |y| < 0.5 for d+A at 40-100 % centrality.

rho0 mass as a function of pT at |y| < 0.5 for minimum bias d+A collisions.

rho0 mass as a function of pT at |y| < 0.5 for p+p collisions.

rho0 mass as a function of pT at |y| < 0.5 for high multiplicity p+p collisions.

rho0 mass as a function of pT at |y| < 0.5 for minimum bias d+Au collisions.

Invariant pi+pi- mass distribution after background subtraction for minimum bias p+p collisions measured by NA27.

Mixed-event background subtracted K pi raw invariant mass distribution for a particular K*0 pT bin at |y| < 0.5 for minimum bias d+Au interactions.

Mixed-event background subtracted KS*0 pi raw invariant mass distribution integrated over nvariant mass distribution for a particular K*+- pT bin at |y| < 0.5 for minimum bias d+Au interactions.

K*0 mass as a function of pT at |y| < 0.5 for minimum bias d+Au collisions.

K*+- mass as a function of pT at |y| < 0.5 for minimum bias d+Au collisions.

K*0 width as a function of pT at |y| < 0.5 for minimum bias d+Au collisions.

K*+- width as a function of pT at |y| < 0.5 for minimum bias d+Au collisions.

Mixed-event background subtracted p pi raw invariant mass distribution for a particular pT bin at |y| < 0.5 for minimum bias d+Au interactions.

Mixed-event background subtracted p pi raw invariant mass distribution for a particular pT bin at |y| < 0.5 for minimum bias p+p collisions.

Delta++ mass as a function of pT at |y| < 0.5 for minimum bias d+Au collisions.

Delta++ width as a function of pT at |y| < 0.5 for minimum bias d+Au collisions.

Delta++ mass as a function of pT at |y| < 0.5 for minimum bias p+p collisions.

Delta++ width as a function of pT at |y| < 0.5 for minimum bias p+p collisions.

Mixed-event background subtracted Lambda pi raw invariant mass distribution integrated over the Sigma* pT at |y| < 0.5 for minimum bias d+Au interactions.

Mixed-event background subtracted p K raw invariant mass distribution integrated over the Lambda* pT at |y| < 0.5 for minimum bias d+Au interactions.

Sigma* mass as a function of pT at |y| < 0.75 for minimum bias d+Au collisions.

Lambda* mass as a function of pT at |y| < 0.5 for minimum bias d+Au collisions.

Lambda* width as a function of pT at |y| < 0.5 for minimum bias d+Au collisions.

rho0 invariant yields as a function of pT at |y| < 0.5 for d+Au collisions at 40-100% centrality.

rho0 invariant yields as a function of pT at |y| < 0.5 for d+Au collisions at 20-40% centrality.

rho0 invariant yields as a function of pT at |y| < 0.5 for d+Au collisions at 0-20% centrality.

rho0 invariant yields as a function of pT at |y| < 0.5 for minimum bias d+Au collisions.

(K*0+K*0bar)/2 invariant yields as a function of pT at |y| < 0.5 for minimum bias d+Au collisions.

(K*0+K*0bar)/2 invariant yields as a function of pT at |y| < 0.5 for d+Au collisions at 0-20% centrality.

(K*0 + K*0bar)/2 invariant yields as a function of pT at |y| < 0.5 for d+Au collisions at 20-40% centrality.

(K*0 + K*0bar)/2 invariant yields as a function of pT at |y| < 0.5 for d+Au collisions at 40-100% centrality.

(K*+ + K*-)/2 invariant yields as a function of pT at |y| < 0.5 for minimum bias d+Au collisions.

(K*+ +K*-)/2 invariant yields as a function of pT at |y| < 0.5 for d+Au collisions at 0-20% centrality.

(K*+ +K*-)/2 invariant yields as a function of pT at |y| < 0.5 for d+Au collisions at 20-40% centrality.

(K*+ +K*-)/2 invariant yields as a function of pT at |y| < 0.5 for d+Au collisions at 40-100% centrality.

(Delta++ + Delta--bar)/2 invariant yields as a function of pT at |y| < 0.5 for minimum bias d+Au collisions.

(Delta++ + Delta--bar)/2 invariant yields as a function of pT at |y| < 0.5 for d+Au collisions at 0-20% centrality.

(Delta++ + Delta--bar)/2 invariant yields as a function of pT at |y| < 0.5 for d+Au collisions at 20-40% centrality.

(Delta++ + Delta--bar)/2 invariant yields as a function of pT at |y| < 0.5 for d+Au collisions at 40-100% centrality.

(Delta++ + Delta--bar)/2 invariant yields as a function of pT at |y| < 0.5 for minimum bias p+p collisions. The errors shown also include the systematic uncertainties.

Sigma* invariant yields as a function of pT at |y| < 0.5 for minimum bias d+Au collisions.

Sigma* invariant yields as a function of pT at |y| < 0.5 for d+Au collisions at 0-20% centrality.

Sigma* invariant yields as a function of pT at |y| < 0.5 for d+Au collisions at 20-40% centrality.

Sigma* invariant yields as a function of pT at |y| < 0.5 for d+Au collisions at 40-100% centrality.

Lambda* invariant yields as a function of pT at |y| < 0.5 for minimum bias d+Au collisions.

Rescaled spectra of pion minimum bias d+Au.

Rescaled spectra of p minimum bias d+Au.

Rescaled spectra of rho0 minimum bias d+Au.

Rescaled spectra of K* minimum bias d+Au.

Rescaled spectra of Delta minimum bias d+Au.

Rescaled spectra of Sigma* minimum bias d+Au.

Rescaled spectra of Lambda* minimum bias d+Au.

pion as a function of < dNch > /deta for minimum bias p+p, minimum bias d+Au, and 0-20%, 20-40%, 40-100% of the total d+Au cross section.

proton as a function of < dNch > /deta for minimum bias p+p, minimum bias d+Au, and 0-20%, 20-40%, 40-100% of the total d+Au cross section.

K as a function of < dNch > /deta for minimum bias p+p, minimum bias d+Au, and 0-20%, 20-40%, 40-100% of the total d+Au cross section.

rho0 as a function of < dNch > /deta for minimum bias p+p, minimum bias d+Au, and 0-20%, 20-40%, 40-100% of the total d+Au cross section.

K* as a function of < dNch > /deta for minimum bias p+p, minimum bias d+Au, and 0-20%, 20-40%, 40-100% of the total d+Au cross section.

pion as a function of < dNch > /deta for minimum bias p+p, minimum bias d+Au, and 0-20%, 20-40%, 40-100% of the total d+Au cross section.

proton as a function of < dNch > /deta for minimum bias p+p, minimum bias d+Au, and 0-20%, 20-40%, 40-100% of the total d+Au cross section.

K as a function of < dNch > /deta for minimum bias p+p, minimum bias d+Au, and 0-20%, 20-40%, 40-100% of the total d+Au cross section.

Delta++ as a function of < dNch > /deta for minimum bias p+p, minimum bias d+Au, and 0-20%, 20-40%, 40-100% of the total d+Au cross section.

Sigma* as a function of < dNch > /deta for minimum bias p+p, minimum bias d+Au, and 0-20%, 20-40%, 40-100% of the total d+Au cross section.

Lambda* as a function of < dNch > /deta for minimum bias p+p, minimum bias d+Au, and 0-20%, 20-40%, 40-100% of the total d+Au cross section.

rho0/pi ratios in p+p, various centralities in d+Au, and in peripheral Au+Au collisions as a function of dNch/deta. The errors shown are the quadratic sum of the statistical and systematic uncertainties.

K*/k- ratios in p+p, various centralities in d+Au and Au+Au collisions as a function of dNch/deta. The errors shown are the quadratic sum of the statistical and systematic uncertainties.

Delta++/p ratios in p+p, various centralities in d+Au as a function of dNch/deta. The errors shown are the quadratic sum of the statistical and systematic uncertainties.

Sigma*/Lambda ratios in p+p, various centralities in d+Au, and in central Au+Au collisions as a function of dNch/deta. The errors shown are the quadratic sum of the statistical and systematic uncertainties.

Lambda*/Lambda ratios in p+p, minimum bias d+Au, and two different centralities in Au+Au collisions as a function of dNch/deta. The errors shown are the quadratic sum of the statistical and systematic uncertainties.

Delta++/p ratios normalized by their ratio measured in p+p collisions at the same beam energy as a function of dNch/deta. The errors shown are the quadratic sum of the statistical and systematic uncertainties.

K*/K- ratios normalized by their ratio measured in p+p collisions at the same beam energy as a function of dNch/deta. The errors shown are the quadratic sum of the statistical and systematic uncertainties.

rho0/pi- ratios normalized by their ratio measured in p+p collisions at the same beam energy as a function of dNch/deta. The errors shown are the quadratic sum of the statistical and systematic uncertainties.

Lambda*/Lambda ratios normalized by their ratio measured in p+p collisions at the same beam energy as a function of dNch/deta. The errors shown are the quadratic sum of the statistical and systematic uncertainties.

Sigma*/Lambda ratios normalized by their ratio measured in p+p collisions at the same beam energy as a function of dNch/deta. The errors shown are the quadratic sum of the statistical and systematic uncertainties.

RdAu for pion.

RdAu for charged hadrons.

RdAu for charged rho0.

RdAu for pion.

RdAu for charged hadrons.

RdAu for charged K*0.

RdAu for charged K*+-.

The cross section for E+ E- --> ETA K+ K- excluding the contribution from PHI --> K+ K- with statistical errors only.

The cross section for E+ E- --> PHI ETA with statistical errors only.

Isoscalar (I=0) component of the cross section for E+ E- --> K*(892) K with statistical errors only.

Isovector (I=1) component of the cross section for E+ E- --> K*(892) K with statistical errors only.

Isoscalar (I=0) component of the cross section for E+ E- --> K2*(1430) K with statistical errors only.

Isovector (I=1) component of the cross section for E+ E- --> K2*(1430) K with statistical errors only.

(a) The solid curve represents the fraction of $\Delta G$ for GRSV-std that has $x > x_{min}$ for scale $Q^{2}$ = 100 $GeV^{2}/c^{2}$. The histograms show the $x_{gluon}$ sampled in the lowest and highest jet $p_{T}$ bins. (b) Confidence levels for several gluon polarization distributions, characterized by their $\Delta G$ at an input scale of 0.4 $GeV^{2}/c^{2}$ [4, 14, 23].

(a) The solid curve represents the fraction of $\Delta G$ for GRSV-std that has $x > x_{min}$ for scale $Q^{2}$ = 100 $GeV^{2}/c^{2}$. The histograms show the $x_{gluon}$ sampled in the lowest and highest jet $p_{T}$ bins. (b) Confidence levels for several gluon polarization distributions, characterized by their $\Delta G$ at an input scale of 0.4 $GeV^{2}/c^{2}$ [4, 14, 23].

Measured cross section for E+ E- --> OMEGA F0(975) with statistical errors only.

Measured cross section for E+ E- --> 2(PI+ PI-) ETA with statistical errorsonly.

Measured cross section for E+ E- --> ETAPRIME PI+ PI- with statistical errors only.

Measured cross section for E+ E- --> F1(1285) PI+ PI- with statistical errors only.

Measured cross section for E+ E- --> K+ K- PI+ PI- PI0 with statistical errors only.

Measured cross section for E+ E- --> PHI ETA with statistical errors only.

Measured cross section for E+ E- --> OMEGA K+ K- with statistical errors only.

Measured cross section for E+ E- --> K+ K- PI+ PI- ETA with statistical errors only.

(Color online) $\Lambda$ and $\overline{\Lambda}$ spectra on the deuteron and on the gold side in $d$ + Au minimum bias collisions. The data points on the gold side are multiplied by 2 for better visibility. The statistical errors are smaller than the points marking the measurements. The curves show a fit with a Boltzmann function in transverse mass to the data points.

(Color online) (a) Comparison of the measured $\overline{\Lambda}$ yield with model calculations. Statistical errors are shown as vertical error bars, the vertical caps show the quadratic sum of statistical and systematic er- rors including the overall normalization uncertainty. In both panels the target and projectile beam rapidities are indicated by arrows.

(Color online) (b) Comparison of the net $\Lambda$ yield with model calculations. Statistical errors are shown as vertical error bars, the vertical caps show the quadratic sum of statistical and systematic er- rors including the overall normalization uncertainty. In both panels the target and projectile beam rapidities are indicated by arrows.

(Color online) Comparison of $\overline{\Lambda}$ and net $\Lambda$ yields to model calculations for all three centrality classes. Statistical errors are shown as vertical error bars, the vertical caps show the quadratic sum of statistical and systematic errors. Beam rapidity is indicated by arrows.

(Color online) Comparison of $\overline{\Lambda}$ and net $\Lambda$ yields to model calculations for all three centrality classes. Statistical errors are shown as vertical error bars, the vertical caps show the quadratic sum of statistical and systematic errors. Beam rapidity is indicated by arrows.

(Color online) Comparison of $\overline{\Lambda}$ and net $\Lambda$ yields to model calculations for all three centrality classes. Statistical errors are shown as vertical error bars, the vertical caps show the quadratic sum of statistical and systematic errors. Beam rapidity is indicated by arrows.

(Color online) Comparison of $\overline{\Lambda}$ and net $\Lambda$ yields to model calculations for all three centrality classes. Statistical errors are shown as vertical error bars, the vertical caps show the quadratic sum of statistical and systematic errors. Beam rapidity is indicated by arrows.

(Color online) Comparison of $\overline{\Lambda}$ and net $\Lambda$ yields to model calculations for all three centrality classes. Statistical errors are shown as vertical error bars, the vertical caps show the quadratic sum of statistical and systematic errors. Beam rapidity is indicated by arrows.

(Color online) Comparison of $\overline{\Lambda}$ and net $\Lambda$ yields to model calculations for all three centrality classes. Statistical errors are shown as vertical error bars, the vertical caps show the quadratic sum of statistical and systematic errors. Beam rapidity is indicated by arrows.

(Color online) Minimum bias $\overline{\Lambda}/\Lambda$ ratio compared to model calculations. On the deuteron side HIJING/BB shows the best agreement with the results, while on the Au side only AMPT and EPOS give a satisfactory description of the data.

$\overline{\Lambda}/\Lambda$ ratio and net $\Lambda$ and $\overline{\Lambda}$ yields as a function of collision centrality on both the deuteron (left) and the gold side (right). On the deuteron side, centrality is expressed by the number of collisions per deuteron participant, while on the gold side the number of Au participants is chosen. Only statistical errors are shown. The increase in baryon number transport with centrality, shown by the net $\Lambda$ yield, is matched by the increase of $\overline{\Lambda}$-$\Lambda$ pair production, thus keeping the $\overline{\Lambda}/\Lambda$ ratio constant over a wide centrality range.

$\overline{\Lambda}/\Lambda$ ratio and net $\Lambda$ and $\overline{\Lambda}$ yields as a function of collision centrality on both the deuteron (left) and the gold side (right). On the deuteron side, centrality is expressed by the number of collisions per deuteron participant, while on the gold side the number of Au participants is chosen. Only statistical errors are shown. The increase in baryon number transport with centrality, shown by the net $\Lambda$ yield, is matched by the increase of $\overline{\Lambda}$-$\Lambda$ pair production, thus keeping the $\overline{\Lambda}/\Lambda$ ratio constant over a wide centrality range.

$\overline{\Lambda}/\Lambda$ ratio and net $\Lambda$ and $\overline{\Lambda}$ yields as a function of collision centrality on both the deuteron (left) and the gold side (right). On the deuteron side, centrality is expressed by the number of collisions per deuteron participant, while on the gold side the number of Au participants is chosen. Only statistical errors are shown. The increase in baryon number transport with centrality, shown by the net $\Lambda$ yield, is matched by the increase of $\overline{\Lambda}$-$\Lambda$ pair production, thus keeping the $\overline{\Lambda}/\Lambda$ ratio constant over a wide centrality range.

$\overline{\Lambda}/\Lambda$ ratio and net $\Lambda$ and $\overline{\Lambda}$ yields as a function of collision centrality on both the deuteron (left) and the gold side (right). On the deuteron side, centrality is expressed by the number of collisions per deuteron participant, while on the gold side the number of Au participants is chosen. Only statistical errors are shown. The increase in baryon number transport with centrality, shown by the net $\Lambda$ yield, is matched by the increase of $\overline{\Lambda}$-$\Lambda$ pair production, thus keeping the $\overline{\Lambda}/\Lambda$ ratio constant over a wide centrality range.

(Color online) Net $\Lambda dN/dy$ for central, mid-central and peripheral events on both the deuteron and the Au side of the collision. The data are compared to calculations of the distribution of net baryons obtained with the Multichain model [16] with $\alpha$ = 2.9, scaled by 0.1 to account for the conversion from net baryons to net $\Lambda$. An overall scale uncertainty of 10% on the model curves from this conversion is not shown. See text for details.

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.

(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).