The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of PT for full range. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of Z for full range. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of Z for full range. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of X for x > 0.032. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of X for x > 0.032. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of PT for x > 0.032. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of PT for x > 0.032. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of Z for x > 0.032. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of Z for x > 0.032. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of X for x > 0.032 and 0.05 < y < 0.10. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of X for x > 0.032 and 0.05 < y < 0.10. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of PT for x > 0.032 and 0.05 < y < 0.10. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of PT for x > 0.032 and 0.05 < y < 0.10. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of Z for x > 0.032 and 0.05 < y < 0.10. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of Z for x > 0.032 and 0.05 < y < 0.10. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of X for x > 0.032 and 0.10 < y < 0.20. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of X for x > 0.032 and 0.10 < y < 0.20. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of PT for x > 0.032 and 0.10 < y < 0.20. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of PT for x > 0.032 and 0.10 < y < 0.20. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of Z for x > 0.032 and 0.10 < y < 0.20. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of Z for x > 0.032 and 0.10 < y < 0.20. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of X for x > 0.032 and 0.20 < y < 0.90. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of X for x > 0.032 and 0.20 < y < 0.90. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of PT for x > 0.032 and 0.20 < y < 0.90. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of PT for x > 0.032 and 0.20 < y < 0.90. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of Z for x > 0.032 and 0.20 < y < 0.90. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of Z for x > 0.032 and 0.20 < y < 0.90. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of X for 0.10 < z < 0.20. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of X for 0.10 < z < 0.20. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of PT for 0.10 < z < 0.20. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of PT for 0.10 < z < 0.20. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of Z for 0.10 < z < 0.20. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of Z for 0.10 < z < 0.20. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of X for 0.20 < z < 0.35. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of X for 0.20 < z < 0.35. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of PT for 0.20 < z < 0.35. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of PT for 0.20 < z < 0.35. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of Z for 0.20 < z < 0.35. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of Z for 0.20 < z < 0.35. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of X for z > 0.35. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of X for z > 0.35. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of PT for z > 0.35. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of PT for z > 0.35. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for positive hadrons as a function of Z for z > 0.35. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the 2010 data set, for negative hadrons as a function of Z for z > 0.35. Also shown are the mean values of other variables plus the correlation with the Collins data measurments.

The Sivers asymmetry, from the combined 2007 and 2010 data set, for positive hadrons as a function of X for 2007+2010 full range. Also shown are the mean values of other variables.

The Sivers asymmetry, from the combined 2007 and 2010 data set, for negative hadrons as a function of X for 2007+2010 full range. Also shown are the mean values of other variables.

The Sivers asymmetry, from the combined 2007 and 2010 data set, for positive hadrons as a function of PT for 2007+2010 full range. Also shown are the mean values of other variables.

The Sivers asymmetry, from the combined 2007 and 2010 data set, for negative hadrons as a function of PT for 2007+2010 full range. Also shown are the mean values of other variables.

The Sivers asymmetry, from the combined 2007 and 2010 data set, for positive hadrons as a function of Z for 2007+2010 full range. Also shown are the mean values of other variables.

The Sivers asymmetry, from the combined 2007 and 2010 data set, for negative hadrons as a function of Z for 2007+2010 full range. Also shown are the mean values of other variables.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of PT for full range. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of Z for full range. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of Z for full range. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of X for x > 0.032. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of X for x > 0.032. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of PT for x > 0.032. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of PT for x > 0.032. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of Z for x > 0.032. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of Z for x > 0.032. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of X for x > 0.032 and 0.05 < y < 0.10. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of X for x > 0.032 and 0.05 < y < 0.10. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of PT for x > 0.032 and 0.05 < y < 0.10. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of PT for x > 0.032 and 0.05 < y < 0.10. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of Z for x > 0.032 and 0.05 < y < 0.10. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of Z for x > 0.032 and 0.05 < y < 0.10. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of X for x > 0.032 and 0.10 < y < 0.20. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of X for x > 0.032 and 0.10 < y < 0.20. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of PT for x > 0.032 and 0.10 < y < 0.20. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of PT for x > 0.032 and 0.10 < y < 0.20. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of Z for x > 0.032 and 0.10 < y < 0.20. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of Z for x > 0.032 and 0.10 < y < 0.20. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of X for x > 0.032 and 0.20 < y < 0.90. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of X for x > 0.032 and 0.20 < y < 0.90. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of PT for x > 0.032 and 0.20 < y < 0.90. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of PT for x > 0.032 and 0.20 < y < 0.90. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of Z for x > 0.032 and 0.20 < y < 0.90. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of Z for x > 0.032 and 0.20 < y < 0.90. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of X for 0.10 < z < 0.20. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of X for 0.10 < z < 0.20. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of PT for 0.10 < z < 0.20. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of PT for 0.10 < z < 0.20. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of Z for 0.10 < z < 0.20. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of Z for 0.10 < z < 0.20. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of X for 0.20 < z < 0.35. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of X for 0.20 < z < 0.35. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of PT for 0.20 < z < 0.35. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of PT for 0.20 < z < 0.35. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of Z for 0.20 < z < 0.35. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of Z for 0.20 < z < 0.35. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of X for z > 0.35. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of X for z > 0.35. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of PT for z > 0.35. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of PT for z > 0.35. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for positive hadrons as a function of Z for z > 0.35. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the 2010 data set, for negative hadrons as a function of Z for z > 0.35. Also shown are the mean values of other variables plus the correlation with the Sivers data measurments.

The Collins asymmetry, from the combined 2007 and 2010 data sets, for positive hadrons as a function of X for 2007+2010 full range. Also shown are the mean values of other variables.

The Collins asymmetry, from the combined 2007 and 2010 data sets, for negative hadrons as a function of X for 2007+2010 full range. Also shown are the mean values of other variables.

The Collins asymmetry, from the combined 2007 and 2010 data sets, for positive hadrons as a function of PT for 2007+2010 full range. Also shown are the mean values of other variables.

The Collins asymmetry, from the combined 2007 and 2010 data sets, for negative hadrons as a function of PT for 2007+2010 full range. Also shown are the mean values of other variables.

The Collins asymmetry, from the combined 2007 and 2010 data sets, for positive hadrons as a function of Z for 2007+2010 full range. Also shown are the mean values of other variables.

The Collins asymmetry, from the combined 2007 and 2010 data sets, for negative hadrons as a function of Z for 2007+2010 full range. Also shown are the mean values of other variables.

Background-subtracted charge-independent (AAT ) correlated hadron pair density in 40-80% Au+Au collisions for 3<p(t)⊥<10 GeV/cand 1<p(a)⊥<3 GeV/c. The results are for near-side correlated hadrons within |∆φ1,2|<0.7, and corrected for the 3-particle ∆η-∆η acceptance. Statistical errors at (∆η1,∆η2)∼(0,0)are approximately 0.058 for Au+Au respectively..

Background-subtracted charge-independent (AAT ) correlated hadron pair density in 0-12% Au+Au collisions for 3<p(t)⊥<10 GeV/cand 1<p(a)⊥<3 GeV/c. The results are for near-side correlated hadrons within |∆φ1,2|<0.7, and corrected for the 3-particle ∆η-∆η acceptance. Statistical errors at (∆η1,∆η2)∼(0,0)are approximately 0.084 for Au+Au respectively..

The average correlated hadron pair density per trigger particle as a function of R for all charges in minimum 0-12% Au+Au collision. The average〈ˆP〉for AAT as a function of R = $\sqrt{∆η21+ ∆η22}$. The average density is peaked at R∼0 and decreases with R for all systems. In 0-12% Au+Au collisions, the average denstiy drops more slowly andbecomes approximately constant aboveR>1, indicatingthe presence of the ridge.

The average correlated hadron pair density per trigger particle as a function of R for all charges in minimum 40-80% Au+Au collision. The average〈ˆP〉for AAT as a function of R = $\sqrt{∆η21+ ∆η22}$. The average density is peaked at R∼0 and decreases with R for all systems. For 40-80% Au+Au collisions the average density at R>1 is consistent with zero, indicating no ridge contribution

The average correlated hadron pair density per trigger particle as a function of R for all charges in minimum d+Au collision. The average〈ˆP〉for AAT as a function of R = $\sqrt{∆η21+ ∆η22}$. The average density is peaked at R∼0 and decreases with R for all systems. For d+Au collisions the average density at R>1 is consistent with zero, indicating no ridge contribution

Radial dependence of average 3-particle correlation pair density for 0-12% Au+Au (like-sign triplets) data. The results are shown in Fig. 3(b) Indeed, no jet-like component is apparent in A^±A^±T^±.The A^±A^±T^∓ result contains both jet-like and ridge components.

Radial dependence of average 3-particle correlation pair density for 40-80% Au+Au (like-sign triplets) data. The contribution from other charge combinations, namely A^±A^∓ T^±, are simply the difference between AAT in Fig.3(a) and (A^±A^±T^± + A^±A^± T^∓) in Fig. 3(b). We found this to be equal to twice the A^±A^± T^∓contribution within errors.

Radial dependence of average 3-particle correlation pair density for d+Au (AAT) data. We expect the ridge contributions in the correlated pair density to be the same in all charge combinations. We verified this for large ∆η correlatedpair densities within our current statistics, as can be seen from Fig. 3(b). Therefore the total ridge particle pair density (ˆPrr) can be obtained as four times A^±A^±T^±. The remaining jet-like signal, the sum of jet-like correlated particle pairs (ˆPjj) and cross pairs of a jet-like and a ridge particle (ˆPjr), can then be obtained by subtracting the total ridge from AAT.

for same-sign associated particles (A^\pm A^\pm T^\pm and A^\pm A^\pm T^\mp) in 0-12% Au+Au collisions Systematic uncertainties are shown in the shaded boxes due to background normalization and in the solid curves due to flow.

The R dependence of the average〈ˆPrr〉and〈ˆPjj〉+〈ˆPjr〉in 0-12% Au+Au collisions.The ridge pair density is consistent with a constant 60.14±0.02 (χ2/ndf=5.8/7). Gaussian fits indicate a best fit value σ = 2.1 (χ2/ndf=4.8/6, solid curve) and σ >1.4 (dashed curve) with 84% confidence level. On the otherhand, the jet-like component is narrow with a Gaussianσ=0.34+0.13−0.09(χ2/ndf=0.8/6, dominated by statistical errors), comparing well to those from the correlated single hadron density.

The average correlated hadron pair density per trigger particle in 0-12% Au+Au collisions for the jet-like andridge components as a function of R. The solid curves are Gaussian fits. The dashed curve is a Gaussian fit with a fixed σ=1.4 to the ridge data. The systematic uncertainities on the ridge data are shown in shaded boxes due to background normalization and in open boxes due to flow.

The R dependence of the average in 0-12% Au+Au collisions.for the ridge as a function of ξ within R<1.4. The solid curves are Gaussian fits. To investigate possible structures in the ridge, we show in Fig. 4(b) the average ridge particle pair density as a function of ξ = arctan(∆η2/∆η1) within R<1.4. The data are consistent with a uniform distribution in ξ(χ2/ndf=1.7/7). This suggests that the ridge particles are uncorrelated in ∆η not only with the trigger particle but also between themselves. In other words,the ridge appears to be uniform in ∆η event-by-event.

The spin transfer $D_{LL}$ to (a) $\Lambda$ and (b) $\bar{\Lambda}$ hyperons produced at positive pseudorapidity with respect to the polarized proton beam from $MB$, $JP$, and $HT$ data versus hyperon transverse momenta $p_{T}$. The sizes of the statistical and systematic uncertainties are indicated by the vertical bars and bands, respectively. For clarity, the HT data points have been shifted slightly in $p_{T}$. The dotted vertical lines indicate the $p_{T}$ intervals in the analysis of HT and JP data.

Comparison of $\Lambda$ and $\bar{\Lambda}$ spin transfer $D_{LL}$ in polarized proton-proton collisions at $\sqrt{s} = 200 GeV$ for (a) positive and (b) negative $\eta$ versus $p_{T}$. The vertical bars and bands indicate the sizes of the statistical and systematic uncertainties, respectively. The $\bar{\Lambda}$ data points have been shifted slightly in $p_{T}$ for clarity. The dotted vertical lines indicate the $p_{T}$ intervals in the analysis of HT and JP data. The horizontal lines show model predictions evaluated at $\eta$ and largest $p_{T}$ of the data.

Comparison of $\Lambda$ and $\bar{\Lambda}$ spin transfer $D_{LL}$ in polarized proton-proton collisions at $\sqrt{s} = 200$ GeV for (a) positive and (b) negative $\eta$ versus $p_{T}$. The vertical bars and bands indicate the sizes of the statistical and systematic uncertainties, respectively. The $\bar{\Lambda}$ data points have been shifted slightly in $p_{T}$ for clarity. The dotted vertical lines indicate the $p_{T}$ intervals in the analysis of HT and JP data. The horizontal lines show model predictions evaluated at $\eta$ and largest $p_{T}$ of the data.

The spin transfer $D_{LL}$ to (a) $\Lambda$ and (b) $\bar{\Lambda}$ hyperons, calculated using the new $\alpha_\Lambda=0.732$ updated on PDG2020, produced at positive pseudorapidity with respect to the polarized proton beam from $MB$, $JP$, and $HT$ data versus hyperon transverse momenta $p_{T}$. The sizes of the statistical and systematic uncertainties are indicated by the vertical bars and bands, respectively. For clarity, the HT data points have been shifted slightly in $p_{T}$. The dotted vertical lines indicate the $p_{T}$ intervals in the analysis of HT and JP data.

The spin transfer $D_{LL}$ to (a) $\Lambda$ and (b) $\bar{\Lambda}$ hyperons, calculated using the new $\alpha_\Lambda=0.732$ updated on PDG2020, produced at positive pseudorapidity with respect to the polarized proton beam from $MB$, $JP$, and $HT$ data versus hyperon transverse momenta $p_{T}$. The sizes of the statistical and systematic uncertainties are indicated by the vertical bars and bands, respectively. For clarity, the HT data points have been shifted slightly in $p_{T}$. The dotted vertical lines indicate the $p_{T}$ intervals in the analysis of HT and JP data.

Comparison of $\Lambda$ and $\bar{\Lambda}$ spin transfer $D_{LL}$, calculated using the new $\alpha_\Lambda=0.732$ updated on PDG2020, in polarized proton-proton collisions at $\sqrt{s} = 200$ GeV for (a) positive and (b) negative $\eta$ versus $p_{T}$. The vertical bars and bands indicate the sizes of the statistical and systematic uncertainties, respectively. The $\bar{\Lambda}$ data points have been shifted slightly in $p_{T}$ for clarity. The dotted vertical lines indicate the $p_{T}$ intervals in the analysis of HT and JP data. The horizontal lines show model predictions evaluated at $\eta$ and largest $p_{T}$ of the data.

$\langle cos(\phi_{\alpha}+\phi_{\beta}−2\phi_{c})\rangle$ as a function of reference multiplicity for different charge combinations, after corrections for acceptance effects. In the legend the signs indicate the charge of particles $\alpha$, $\beta$, and c. The results shown are for Au+Au collisions at 200 GeV obtained in the Full Field.

$\langle cos(\phi_{\alpha}-\phi_{\beta})\rangle$ as a function of centrality for different charge combinations and FF and RFF configurations. The data points corresponding to different charge and field configurations are slightly shifted in the horizontal direction with respect to each other for clarity. The error bars are statistical. Also shown are model predictions described in Section VII.

A comparison of the correlations obtained by selecting the third particle from the main TPC or from the Forward TPCs. The TPC and FTPC points are shifted horizontally relative to one another for clarity purposes. The error bars are statistical.

A comparison of the correlations obtained by selecting the third particle from the main TPC or from the Forward TPCs after scaling by the flow of the third particle. The shaded areas represent the uncertainty from $v_{2,c}$ scaling (see text for details). The TPC and FTPC points are shifted horizontally relative to one another for clarity purposes. The error bars are statistical.

$\langle cos(\phi_{\alpha}+\phi_{\beta}−2\Psi_{RP})\rangle$ in Au+Au and Cu+Cu collisions at $\sqrt{s_{NN}}$ = 200 GeV calculated using Eq. 7. The error-bars show the statistical errors. The shaded area reflects the uncertainty in the elliptic flow values used in calculations, with lower (in magnitude) limit obtained with elliptic flow from two-particle correlations and upper limit from four-particle cumulants. For details, see Section IV. Thick solid (Au+Au) and dashed (Cu+Cu) lines represent possible non-reaction-plane dependent contribution from many-particle clusters as estimated by HIJING, see Section VII A.

$\langle cos(\phi_{\alpha}+\phi_{\beta}−2\Psi_{RP})\rangle$ in Au+Au and Cu+Cu collisions at $\sqrt{s_{NN}}$ = 62 GeV calculated using Eq. 7. The error-bars show the statistical errors. The shaded area reflects the uncertainty in the elliptic flow values used in calculations. For details, see Section IV. Thick solid (Au+Au) and dashed (Cu+Cu) lines represent possible non-reaction-plane dependent contribution from many-particle clusters as estimated by HIJING, see Section VII A.

Au+Au and Cu+Cu collisions at $\sqrt{s_{NN}}$ = 200 GeV. The correlations are scaled with the number of participants and are plotted as function of centrality. The error-bars indicate the statistical errors. The shaded area reflects the uncertainty in the elliptic flow values used in calculations. For details, see Section IV. Thick solid (Au+Au) and dashed (Cu+Cu) lines represent possible non-reaction-plane dependent contribution from many-particle clusters as estimated by HIJING, see Section VII A.

Au+Au and Cu+Cu collisions at $\sqrt{s_{NN}}$ = 200 GeV. The correlations are scaled with the number of participants and are plotted as function of number of participants. The error-bars indicate the statistical errors. The shaded area reflects the uncertainty in the elliptic flow values used in calculations. For details, see Section IV. Thick solid (Au+Au) and dashed (Cu+Cu) lines represent possible non-reaction-plane dependent contribution from many-particle clusters as estimated by HIJING, see Section VII A.

Au+Au at 200 GeV. The correlations dependence on pseudorapidity separation $\Delta\eta$ = |$\eta_{\alpha}$ − $\eta_{\beta}$| for centrality 30-50%. The shaded band indicates uncertainty associated with $v_{2}$ measurements and has been calculated using two- and four-particle cumulant results as the limits.

Au+Au at 200 GeV. The correlations dependence on pseudorapidity separation $\Delta\eta$ = |$\eta_{\alpha}$ − $\eta_{\beta}$| for centrality 10-30%. The shaded band indicates uncertainty associated with $v_{2}$ measurements and has been calculated using two- and four-particle cumulant results as the limits.

Au+Au at 200 GeV. The correlations dependence on (p$_{t,\alpha}$ + p$_{t,\beta}$)/2 for centrality 30-50%. The shaded band indicates uncertainty associated with $v_{2}$ measurements and has been calculated using two- and four-particle cumulant results as the limits.

Au+Au at 200 GeV. The correlations dependence on (p$_{t,\alpha}$ + p$_{t,\beta}$)/2 for centrality 10-30%. The shaded band indicates uncertainty associated with $v_{2}$ measurements and has been calculated using two- and four-particle cumulant results as the limits.

Au+Au at 200 GeV. The correlations dependence on |p$_{t,\alpha}$ - p$_{t,\beta}$| for centrality 30-50%. The shaded band indicates uncertainty associated with $v_{2}$ measurements and has been calculated using two- and four-particle cumulant results as the limits.

Au+Au at 200 GeV. The correlations dependence on |p$_{t,\alpha}$ - p$_{t,\beta}$| for centrality 10-30%. The shaded band indicates uncertainty associated with $v_{2}$ measurements and has been calculated using two- and four-particle cumulant results as the limits.

Three-particle correlator in Au+Au and Cu+Cu collisions compared to HIJING calculations shown as thick lines. All three particles are taken in the main TPC region, |$\eta$| < 1.0. The correlator has been scaled with number of participants and are plotted versus number of participants. In this representation HIJING results for Au+Au and Cu+Cu collisions coincide in the region of overlap.

$\langle cos(\phi_{\alpha} + \phi_{\beta} − 2\Psi_{RP})\rangle$ calculated for 200 GeV Au+Au events with event generators HIJING (with and without an “elliptic flow afterburner”), UrQMD, and MEVSIM. Blue symbols mark opposite-charge correlations, and red are same-charge. Solid stars represent the values from the data to facilitate comparison. Acceptance cuts of 0.15 < p$_{t}$ < 2 GeV/c and |$\eta$| < 1.0 were used in all cases. For MEVSIM, HIJING, and UrQMD points the true reaction plane from the generated event was used for $\Psi_{RP}$ . Thick solid lighter colored lines represent possible non-reactionplane dependent contribution from many-particle clusters as estimated by HIJING and discussed in Section VII A. Corresponding estimates from UrQMD are about factor of two smaller.

FIG. 4. Ridge yield Eq. (9) in $|\Delta \eta|<1.7$ and $2 \mathrm{GeV/c}<p^{assoc}_{t}$ < $p^{trig}_{t}$ as a function of $p_{t}^{t r i g}$. Solid lines are the systematic uncertainty due to $v_{2}$.

FIG. 5. Projection of $d N /\left.d \Delta \phi\right|_{a, b}$ for $0.7<|\Delta \eta|<1.4$ [Eq. (3)] in two trigger $p_{t}$ windows for $2<p_{t}^{\text {assoc }}<4 \mathrm{GeV} / \mathrm{c} .$ No background subtraction has been applied; note the suppressed zero on the vertical scale. The shaded band shows the fit of the function $k_{1}+k_{2}$. $\cos (2 \Delta \phi)$ to the recoil region $2<|\Delta \phi|<\pi$ for $4<p_{t}^{\text {trig }}<6 \mathrm{GeV} / c$. The width of the band indicates the fitting error. The solid curve represents the background estimate using the ZYAM normalization for $4<p_{t}^{\text {trig }}<6 \mathrm{GeV} / c .$ Systematic uncertainties are indicated by the light shaded band.

FIG. 6. (Color online) Differential $p_{t}$ spectrum for associated particles in central $\mathrm{Au}+$ Au collisions, with $4<p_{t}^{\text {trig }}<6$ and $6<p_{t}^{\text {trig }}<10 \mathrm{GeV} / c$ . The dash-dotted line is the inclusive hadron spectrum from central $\mathrm{Au}+$ Au collisions $[1] .$ Left panel: ridge spectrum; shaded bands show systematic uncertainty. Right panel: jet-like spectrum, also compared to $d+$ Au reference measurements. The lines in both panels show exponential fits to the data (see Table III). Data are offset horizontally for clarity.

FIG. 6. (Color online) Differential $p_{t}$ spectrum for associated particles in central $\mathrm{Au}+$ Au collisions, with $4<p_{t}^{\text {trig }}<6$ and $6<p_{t}^{\text {trig }}<10 \mathrm{GeV} / c$ . The dash-dotted line is the inclusive hadron spectrum from central $\mathrm{Au}+$ Au collisions $[1] .$ Left panel: ridge spectrum; shaded bands show systematic uncertainty. Right panel: jet-like spectrum, also compared to $d+$ Au reference measurements. The lines in both panels show exponential fits to the data (see Table III). Data are offset horizontally for clarity.

The $\pi^0$ invariant mass peak positions and widths as a function of $p_{T}$ in 0-80% Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV.

The $\pi^0$ invariant mass peak positions and widths as a function of $p_{T}$ in 0-80% Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV.

The $\pi^0$ invariant mass peak positions and widths as a function of $p_{T}$ in 0-80% Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV.

The $\pi^0$ invariant mass peak positions and widths as a function of $p_{T}$ in 0-80% Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV.

The $\pi^0$ invariant mass peak positions and widths as a function of $p_{T}$ in 0-80% Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV.

The $\pi^0$ invariant mass peak positions and widths as a function of $p_{T}$ in 0-80% Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV.

Photon conversion point radius distribution from real data and MC simulation in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV.

Conversion probability correction factor for $\pi^0$ as a function of $p_{T}$

The overall detection efficiency of $\pi^0$ from embedding studt in 0-80% Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV.

The overall detection efficiency of $\pi^0$ from embedding studt in 0-80% Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV.

The overall detection efficiency of $\pi^0$ from embedding studt in 0-80% Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV.

Invariant yield of STAR $\pi^0$ as a function of $p_{T}$ at midrapidity for different collision centrality bins in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV.

Invariant yield of STAR $\pi^0$ as a function of $p_{T}$ at midrapidity for different collision centrality bins in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV.

Invariant yield of STAR $\pi^0$ as a function of $p_{T}$ at midrapidity for different collision centrality bins in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV.

The ratios of STAR $\pi^0$ spectra over $\pi^{\pm}$ from STAR and $\pi^0$ from PHENIX for different collision centrality bins in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV.

The nuclear modification factor $R_{CP}$ as a functon of $p_{T}$ of STAR $\pi^0$ in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV.

The nuclear modification factor $R_{AA}$ as a functon of $p_{T}$ of STAR $\pi^0$ in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV.

Fig. 2. (Color online.) Event-by-event photon multiplicity distributions (solid circles) for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ at $\sqrt{s_{\mathrm{NN}}}=62.4$ and $200 \mathrm{GeV} .$ The distributions for top $0-5 \%$ central $\mathrm{Au}+$ Au collisions and top $0-10 \%$ central $\mathrm{Cu}+\mathrm{Cu}$ collisions are also shown (open circles). The photon multiplicity distributions for central collisions are observed to be Gaussian (solid line). Only statistical errors are shown. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Fig. 2. (Color online.) Event-by-event photon multiplicity distributions (solid circles) for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ at $\sqrt{s_{\mathrm{NN}}}=62.4$ and $200 \mathrm{GeV} .$ The distributions for top $0-5 \%$ central $\mathrm{Au}+$ Au collisions and top $0-10 \%$ central $\mathrm{Cu}+\mathrm{Cu}$ collisions are also shown (open circles). The photon multiplicity distributions for central collisions are observed to be Gaussian (solid line). Only statistical errors are shown. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Fig. 2. (Color online.) Event-by-event photon multiplicity distributions (solid circles) for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ at $\sqrt{s_{\mathrm{NN}}}=62.4$ and $200 \mathrm{GeV} .$ The distributions for top $0-5 \%$ central $\mathrm{Au}+$ Au collisions and top $0-10 \%$ central $\mathrm{Cu}+\mathrm{Cu}$ collisions are also shown (open circles). The photon multiplicity distributions for central collisions are observed to be Gaussian (solid line). Only statistical errors are shown. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Fig. 3. (Color online.) Photon pseudorapidity distributions for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ at $\sqrt{\mathrm{s}_{\mathrm{NN}}}=62.4$ and $200\mathrm{GeV}$. The results for several centrality classes are shown. The solid curves are results of HIJING simulations for central $(0-5 \%$ for $\mathrm{Au}+\mathrm{Au}$ and $0-10 \%$ for $\mathrm{Cu}+\mathrm{Cu})$ and $30-40 \%$ mid-central collisions. The errors shown are systematic, statistical errors are negligible in comparison. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Fig. 3. (Color online.) Photon pseudorapidity distributions for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ at $\sqrt{\mathrm{s}_{\mathrm{NN}}}=62.4$ and $200\mathrm{GeV}$. The results for several centrality classes are shown. The solid curves are results of HIJING simulations for central $(0-5 \%$ for $\mathrm{Au}+\mathrm{Au}$ and $0-10 \%$ for $\mathrm{Cu}+\mathrm{Cu})$ and $30-40 \%$ mid-central collisions. The errors shown are systematic, statistical errors are negligible in comparison. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Fig. 3. (Color online.) Photon pseudorapidity distributions for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ at $\sqrt{\mathrm{s}_{\mathrm{NN}}}=62.4$ and $200\mathrm{GeV}$. The results for several centrality classes are shown. The solid curves are results of HIJING simulations for central $(0-5 \%$ for $\mathrm{Au}+\mathrm{Au}$ and $0-10 \%$ for $\mathrm{Cu}+\mathrm{Cu})$ and $30-40 \%$ mid-central collisions. The errors shown are systematic, statistical errors are negligible in comparison. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Fig. 3. (Color online.) Photon pseudorapidity distributions for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ at $\sqrt{\mathrm{s}_{\mathrm{NN}}}=62.4$ and $200\mathrm{GeV}$. The results for several classes are shown. The solid curves are results of HIJING simulations for central $(0-5 \%$ for $\mathrm{Au}+\mathrm{Au}$ and $0-10 \%$ for $\mathrm{Cu}+\mathrm{Cu})$ and $30-40 \%$ mid-central collisions. The errors shown are systematic, statistical errors are negligible in comparison. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Fig. 4. (Color online.) Top panel: The number of photons divided by $\left\langle N_{\text{part}}\right\rangle / 2$ as a function of average number of participating nucleons for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ at $\sqrt{\mathrm{s} _{\mathrm{NN}}}=62.4$ and $200 \mathrm{GeV}$ for $-3.7<\eta<-2.3 .$ Errors shown are systematic only and include those for $\left\langle N_{\text {part }}\right\rangle .$ Results from HIJING are shown as lines (solid for $\mathrm{Au}+\mathrm{Au}$ and dashed for $\mathrm{Cu}+\mathrm{Cu}$ ). Bottom panel: Same as above, for both photons and charged particles from PHOBOS [10]. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Fig. 4. (Color online.) Top panel: The number of photons divided by $\left\langle N_{\text{part}}\right\rangle / 2$ as a function of average number of participating nucleons for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ at $\sqrt{\mathrm{s} _{\mathrm{NN}}}=62.4$ and $200 \mathrm{GeV}$ for $-3.7<\eta<-2.3 .$ Errors shown are systematic only and include those for $\left\langle N_{\text {part }}\right\rangle .$ Results from HIJING are shown as lines (solid for $\mathrm{Au}+\mathrm{Au}$ and dashed for $\mathrm{Cu}+\mathrm{Cu}$ ). Bottom panel: Same as above, for both photons and charged particles from PHOBOS [10]. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Fig. 5. (Color online.) Photon pseudorapidity distributions normalized by the average number of participating nucleon pairs for different collision centralities are plotted as a function of pseudorapidity shifted by the beam rapidity (-5.36 for $200 \mathrm{GeV}$ and -4.19 for $62.4 \mathrm{GeV}$ ) for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ collisions at $\sqrt{s_{\mathrm{NN}}}=62.4$ and $200 \mathrm{GeV}$. Errors are systematic only, statistical errors are negligible in comparison. For clarity of presentation, results for only four centralities are shown. The $\mathrm{Cu}+$ Cu data are shifted by 0.1 unit in $\eta-y_{\text {beam }} .$ The solid line is a second order polynomial fit to the data (see text for details).

Fig. 5. (Color online.) Photon pseudorapidity distributions normalized by the average number of participating nucleon pairs for different collision centralities are plotted as a function of pseudorapidity shifted by the beam rapidity (-5.36 for $200 \mathrm{GeV}$ and -4.19 for $62.4 \mathrm{GeV}$ ) for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ collisions at $\sqrt{s_{\mathrm{NN}}}=62.4$ and $200 \mathrm{GeV}$. Errors are systematic only, statistical errors are negligible in comparison. For clarity of presentation, results for only four centralities are shown. The $\mathrm{Cu}+$ Cu data are shifted by 0.1 unit in $\eta-y_{\text {beam }} .$ The solid line is a second order polynomial fit to the data (see text for details).

xT scaling (with xT.

J/psi nuclear modification factor RAA from sqrt(s).

J/psi nuclear modification factor RAA from sqrt(s).

J/psi-hadron azimuthal correlations in sqrt(s).

Contribution from B-hadron feed-down to inclusive J/psi production in sqrt(s).

$N_{part}$ dependence of the near-side associated-particle yield.

$N_{part}$ dependence of the near-side associated-particle yield.

$N_{part}$ dependence of the near-side associated-particle yield.

$N_{part}$ dependence of the near-side associated-particle yield.

$N_{part}$ dependence of the near-side associated-particle yield.

$N_{part}$ dependence of the near-side associated-particle yield.

$N_{part}$ dependence of the near-side associated-particle yield.

$N_{part}$ dependence of the near-side associated-particle yield.

$N_{part}$ dependence of the near-side associated-particle yield.

$N_{part}$ dependence of the near-side associated-particle yield.

$N_{part}$ dependence of the near-side associated-particle yield.

$N_{part}$ dependence of the near-side associated-particle yield.

$N_{part}$ dependence of the near-side associated-particle yield.

$N_{part}$ dependence of the near-side associated-particle yield.

$N_{part}$ dependence of the near-side associated-particle yield.

$N_{part}$ dependence of the near-side associated-particle yield.

$N_{part}$ dependence of the near-side associated-particle yield.

$N_{part}$ dependence of the near-side associated-particle yield.

$\Delta\phi$ distribution used to extract the away-side yield. The triangular pair acceptance correction in $\Delta\eta$ is not applied.

$N_{part}$ dependence of the away-side associated-particle yield.

$N_{part}$ dependence of the away-side associated-particle yield.

$N_{part}$ dependence of the away-side associated-particle yield.

$N_{part}$ dependence of the away-side associated-particle yield.

Away-side associated particle distribution.

$I_{AA}$.

$I_{AA}$.

$I_{AA}$.

$I_{AA}$.

HBT parameters for all centralities in 62.4 GeV Cu+Cu.

HBT parameters for all centralities in 200 GeV Cu+Cu.

HBT parameters for 200 GeV Au+Au, 0-5% and Cu+Cu, 0-10%

HBT parameters for 200 GeV and 62.4 GeV Cu+Cu, 0-10% and 62.4 GeV Au+Au, 0-5%

HBT radii for radii ratios in 200 GeV and 62.4 GeV Cu+Cu, 0-10% and 200 GeV & 62.4 GeV Au+Au, 0-5%. Note that on Figure 8 in the paper the radii ratios are shown while here we list the radii values.

Energy dependence of the pi- HBT Radii for Volume estimate (Rside*Rside*Rlong) in central Au+Au, Pb+Pb, and Pb+Au collisions (AGS,SPS and RHIC) at midrapidity and k_T ~ 0.2-0.3 GeV/c. Note that on Figure 9 in the paper Rside*Rside*Rlong is shown while here we list the Rside and Rlong values.

HBT Radii for Volume estimate(Rside*Rside*Rlong & Rout*Rout*Rlong) comparisons for 200 GeV and 62.4 GeV Au+Au with Npart and dNch/deta. Note that on Figure 10 in the paper specific combinations of the HBT radii are shown while here we list the radii values.

HBT Radii for Volume estimate(Rside*Rside*Rlong & Rout*Rout*Rlong) comparisons for 200 GeV and 62.4 GeV Au+Au & Cu+Cu with dNch/deta. Note that on Figure 11 in the paper specific combinations of the HBT radii are shown while here we list the radii values.

HBT radii comparisons for 200 GeV and 62.4 GeV Au+Au & Cu+Cu with dNch/deta1/3

(Color online) Measured dynamical $K/\pi$ fluctuations in terms of $\nu_{dyn,K\pi}$ for 62.4 and 200 GeV Au+Au compared with $\sigma^{2}_{dyn}$ from central Pb+Pb collisions at 6.3, 7.6, 8.8, 12.3, and 17.3 GeV from NA49 [7]. Statistical errors are shown for the STAR data. Statistical and systematic errors are shown for the NA49 results. The solid line corresponds to a fit to the STAR data of the form $c + d/(dN/d\eta)$.

(Color online) The dN/dη scaled dynamical $K/\pi$ fluctuations for summed charges (stars), same signs (circles), and opposite signs (squares) as a function of $dN/d\eta$. The errors shown are statistical. The open and filled symbols refer to Au+Au collisions at 62.4 GeV and 200 GeV respectively. The dash-dot, dotted, and dashed lines represents HIJING calculations for summed charges, same signs, and opposite signs respectively.

Upper panels. $N_{\scriptsize{\mbox{part}}}$ scaled ($R^{N_{\scriptsize{\mbox{part}}}}_{AA}$) nuclear modification factors as a function of $p_{T}$ of $\phi$ mesons for $0-10\%$ and $20-30\%$ $Cu+Cu$ and $Au+Au$ collisions at $\sqrt{s_{NN}}=200$ GeV. Lower panel. Same as above for $N_{\scriptsize{\mbox{bin}}}$ scaled ($R^{N_{\scriptsize{\mbox{bin}}}}_{AA}$) nuclear modification factor. The error bars represent the statistical and systematic errors added in quadrature. The shaded band in upper panel around 1 at $p_{T}=4.5-5.5$ GeV/$c$ in the right side reflects the uncertainty in $N_{\scriptsize{\mbox{part}}}$ and that on the lower panel for $N_{\scriptsize{\mbox{bin}}}$ calculation for central $Au+Au$ collisions. The respective uncertainties for central $Cu+Cu$ collisions are of similar order.

Upper panels. $N_{\scriptsize{\mbox{part}}}$ scaled ($R^{N_{\scriptsize{\mbox{part}}}}_{AA}$) nuclear modification factors as a function of $p_{T}$ of $\phi$ mesons for $0-10\%$ and $20-30\%$ $Cu+Cu$ and $Au+Au$ collisions at $\sqrt{s_{NN}}=200$ GeV. Lower panel. Same as above for $N_{\scriptsize{\mbox{bin}}}$ scaled ($R^{N_{\scriptsize{\mbox{bin}}}}_{AA}$) nuclear modification factor. The error bars represent the statistical and systematic errors added in quadrature. The shaded band in upper panel around 1 at $p_{T}=4.5-5.5$ GeV/$c$ in the right side reflects the uncertainty in $N_{\scriptsize{\mbox{part}}}$ and that on the lower panel for $N_{\scriptsize{\mbox{bin}}}$ calculation for central $Au+Au$ collisions. The respective uncertainties for central $Cu+Cu$ collisions are of similar order.

Upper panels. $N_{\scriptsize{\mbox{part}}}$ scaled ($R^{N_{\scriptsize{\mbox{part}}}}_{AA}$) nuclear modification factors as a function of $p_{T}$ of $\phi$ mesons for $0-10\%$ and $20-30\%$ $Cu+Cu$ and $Au+Au$ collisions at $\sqrt{s_{NN}}=200$ GeV. Lower panel. Same as above for $N_{\scriptsize{\mbox{bin}}}$ scaled ($R^{N_{\scriptsize{\mbox{bin}}}}_{AA}$) nuclear modification factor. The error bars represent the statistical and systematic errors added in quadrature. The shaded band in upper panel around 1 at $p_{T}=4.5-5.5$ GeV/$c$ in the right side reflects the uncertainty in $N_{\scriptsize{\mbox{part}}}$ and that on the lower panel for $N_{\scriptsize{\mbox{bin}}}$ calculation for central $Au+Au$ collisions. The respective uncertainties for central $Cu+Cu$ collisions are of similar order.

Upper panel. The ratio of the yields of $K^{−}$, $\phi$, $\bar{\Lambda}$ and $\Xi+\bar{\Xi}$ normalized to $N_{\scriptsize{\mbox{part}}}$ in nucleus-nucleus collisions to corresponding yields in inelastic $p+p$ collisions as a function of $N_{\scriptsize{\mbox{part}}}$ at 200 GeV. Lower panel. Same as above for $\phi$ mesons in $Cu+Cu$ collisions at 200 and 62.4 GeV. The $p+p$ collision data at 200 GeV are from STAR [5] and at 62.4 GeV from ISR [29]. The error bars shown represent the statistical and systematic errors added in quadrature.

Upper panel. The ratio of the yields of $K^{−}$, $\phi$, $\bar{\Lambda}$ and $\Xi+\bar{\Xi}$ normalized to $N_{\scriptsize{\mbox{part}}}$ in nucleus-nucleus collisions to corresponding yields in inelastic $p+p$ collisions as a function of $N_{\scriptsize{\mbox{part}}}$ at 200 GeV. Lower panel. Same as above for $\phi$ mesons in $Cu+Cu$ collisions at 200 and 62.4 GeV. The $p+p$ collision data at 200 GeV are from STAR [5] and at 62.4 GeV from ISR [29]. The error bars shown represent the statistical and systematic errors added in quadrature.

Upper panels: same-event (full points) and mixed-event (solid line) $K^{+}K^{-}$ invariant mass distributions at 0.6 < $p_{T}$ < 1.4 GeV/c in p + p 200 GeV collisions (a), 0.8 < $p_{T}$ < 1.2 GeV/c in Au + Au 62.4 GeV collisions (60–80%) (c), and 0.8 < $p_{T}$ < 1.2 GeV/c in Au + Au 200 GeV collisions (0–10%) (e). Lower panels: the corresponding $\phi$ meson mass peaks after subtracting the background. Dashed curves show a Breit-Wigner + linear background function fit in (b), (d). In (f), both linear and quadratic backgrounds are shown as dashed and dot-dashed lines, respectively.

Upper panels: same-event (full points) and mixed-event (solid line) $K^{+}K^{-}$ invariant mass distributions at 0.6 < $p_{T}$ < 1.4 GeV/c in p + p 200 GeV collisions (a), 0.8 < $p_{T}$ < 1.2 GeV/c in Au + Au 62.4 GeV collisions (60–80%) (c), and 0.8 < $p_{T}$ < 1.2 GeV/c in Au + Au 200 GeV collisions (0–10%) (e). Lower panels: the corresponding $\phi$ meson mass peaks after subtracting the background. Dashed curves show a Breit-Wigner + linear background function fit in (b), (d). In (f), both linear and quadratic backgrounds are shown as dashed and dot-dashed lines, respectively.

Upper panels: same-event (full points) and mixed-event (solid line) $K^{+}K^{-}$ invariant mass distributions at 0.6 < $p_{T}$ < 1.4 GeV/c in p + p 200 GeV collisions (a), 0.8 < $p_{T}$ < 1.2 GeV/c in Au + Au 62.4 GeV collisions (60–80%) (c), and 0.8 < $p_{T}$ < 1.2 GeV/c in Au + Au 200 GeV collisions (0–10%) (e). Lower panels: the corresponding $\phi$ meson mass peaks after subtracting the background. Dashed curves show a Breit-Wigner + linear background function fit in (b), (d). In (f), both linear and quadratic backgrounds are shown as dashed and dot-dashed lines, respectively.

Reconstruction efficiency including acceptance of $\phi$ meson as a function of $p_{T}$ in several centrality bins of Au + Au, d + Au, and p + p 200 GeV collisions.

Reconstruction efficiency including acceptance of $\phi$ meson as a function of $p_{T}$ in several centrality bins of Au + Au, d + Au, and p + p 200 GeV collisions.

Reconstruction efficiency including acceptance of $\phi$ meson as a function of $p_{T}$ in several centrality bins of Au + Au, d + Au, and p + p 200 GeV collisions.

Event plane $\Phi_{2}$ resolution as a function of centrality in Au + Au 200 GeV collisions, where the vertical axis starts from 0.3 for clarity.

$\phi−\Phi_{2}$ distribution for $\phi$ meson at 1.5 < $p_{T}$ < 2.0 GeV/c in Au + Au collisions (0–80$\%$) at 200 GeV. The line is the fitting result. Error bars are statistical only.

<cos2($\phi_{K^{+}K^{-}}$-$\Phi_{2}$)> (full red points) and <sin2($\phi_{K^{+}K^{-}}$-$\Phi_{2}$)> (open blue points) as a function of $m_{inv}$ of $K^{+}K^{-}$ pairs at 0.5 < $p_{T}$ < 1.0 GeV/c in Au + Au 200 GeV collisions (0–80\%), where the solid curve is the result of fitting by Eq. (10). The arrow shows the position of the $\phi$ invariant mass peak. The dashed line shows the zero horizontal line.

Masses and widths (FWHMs) of $\phi$ as a function of $p_{T}$ in p + p 200 GeV (NSD), d + Au 200 GeV (0–20$\%$), Au + Au 62.4 GeV (0–20$\%$), and Au + Au 200 GeV (0–5$\%$) collisions, with the corresponding $PDG$ values.

Masses and widths (FWHMs) of $\phi$ as a function of $p_{T}$ in p + p 200 GeV (NSD), d + Au 200 GeV (0–20$\%$), Au + Au 62.4 GeV (0–20$\%$), and Au + Au 200 GeV (0–5$\%$) collisions, with the corresponding $PDG$ values.

Masses and widths (FWHMs) of $\phi$ as a function of $p_{T}$ in p + p 200 GeV (NSD), d + Au 200 GeV (0–20$\%$), Au + Au 62.4 GeV (0–20$\%$), and Au + Au 200 GeV (0–5$\%$) collisions, with the corresponding $PDG$ values.

Masses and widths (FWHMs) of $\phi$ as a function of $p_{T}$ in p + p 200 GeV (NSD), d + Au 200 GeV (0–20$\%$), Au + Au 62.4 GeV (0–20$\%$), and Au + Au 200 GeV (0–5$\%$) collisions, with the corresponding $PDG$ values.

Masses and widths (FWHMs) of $\phi$ as a function of $p_{T}$ in p + p 200 GeV (NSD), d + Au 200 GeV (0–20$\%$), Au + Au 62.4 GeV (0–20$\%$), and Au + Au 200 GeV (0–5$\%$) collisions, with the corresponding $PDG$ values.

Masses and widths (FWHMs) of $\phi$ as a function of $p_{T}$ in p + p 200 GeV (NSD), d + Au 200 GeV (0–20$\%$), Au + Au 62.4 GeV (0–20$\%$), and Au + Au 200 GeV (0–5$\%$) collisions, with the corresponding $PDG$ values.

Masses and widths (FWHMs) of $\phi$ as a function of $p_{T}$ in p + p 200 GeV (NSD), d + Au 200 GeV (0–20$\%$), Au + Au 62.4 GeV (0–20$\%$), and Au + Au 200 GeV (0–5$\%$) collisions, with the corresponding $PDG$ values.

Masses and widths (FWHMs) of $\phi$ as a function of $p_{T}$ in p + p 200 GeV (NSD), d + Au 200 GeV (0–20$\%$), Au + Au 62.4 GeV (0–20$\%$), and Au + Au 200 GeV (0–5$\%$) collisions, with the corresponding $PDG$ values.

Masses and widths (FWHMs) of $\phi$ as a function of $p_{T}$ in p + p 200 GeV (NSD), d + Au 200 GeV (0–20$\%$), Au + Au 62.4 GeV (0–20$\%$), and Au + Au 200 GeV (0–5$\%$) collisions, with the corresponding $PDG$ values.

Masses and widths (FWHMs) of $\phi$ as a function of $p_{T}$ in p + p 200 GeV (NSD), d + Au 200 GeV (0–20$\%$), Au + Au 62.4 GeV (0–20$\%$), and Au + Au 200 GeV (0–5$\%$) collisions, with the corresponding $PDG$ values.

Masses and widths (FWHMs) of $\phi$ as a function of $p_{T}$ in p + p 200 GeV (NSD), d + Au 200 GeV (0–20$\%$), Au + Au 62.4 GeV (0–20$\%$), and Au + Au 200 GeV (0–5$\%$) collisions, with the corresponding $PDG$ values.

Masses and widths (FWHMs) of $\phi$ as a function of $p_{T}$ in p + p 200 GeV (NSD), d + Au 200 GeV (0–20$\%$), Au + Au 62.4 GeV (0–20$\%$), and Au + Au 200 GeV (0–5$\%$) collisions, with the corresponding $PDG$ values.

Masses and widths (FWHMs) of $\phi$ as a function of $p_{T}$ in p + p 200 GeV (NSD), d + Au 200 GeV (0–20$\%$), Au + Au 62.4 GeV (0–20$\%$), and Au + Au 200 GeV (0–5$\%$) collisions, with the corresponding $PDG$ values.

Invariant mass distributions of $\phi$ meson at 0.6 < $p_{T}$ < 1.0 GeV/c in p + p 200 GeV (NSD) and Au + Au 200 GeV (0–5$\%$) collisions. Solid symbols: experimental data. Open symbols: MC simulation. Curves are the results of a Breit-Wigner function fit. Note: Two sets of MC data are shown for Au + Au 200 GeV, and see text for details.

Invariant mass distributions of $\phi$ meson at 0.6 < $p_{T}$ < 1.0 GeV/c in p + p 200 GeV (NSD) and Au + Au 200 GeV (0–5$\%$) collisions. Solid symbols: experimental data. Open symbols: MC simulation. Curves are the results of a Breit-Wigner function fit. Note: Two sets of MC data are shown for Au + Au 200 GeV, and see text for details.

Invariant mass distributions of $\phi$ meson at 0.6 < $p_{T}$ < 1.0 GeV/c in p + p 200 GeV (NSD) and Au + Au 200 GeV (0–5$\%$) collisions. Solid symbols: experimental data. Open symbols: MC simulation. Curves are the results of a Breit-Wigner function fit. Note: Two sets of MC data are shown for Au + Au 200 GeV, and see text for details.

Invariant mass distributions of $\phi$ meson at 0.6 < $p_{T}$ < 1.0 GeV/c in p + p 200 GeV (NSD) and Au + Au 200 GeV (0–5$\%$) collisions. Solid symbols: experimental data. Open symbols: MC simulation. Curves are the results of a Breit-Wigner function fit. Note: Two sets of MC data are shown for Au + Au 200 GeV, and see text for details.

Invariant mass distributions of $\phi$ meson at 0.6 < $p_{T}$ < 1.0 GeV/c in p + p 200 GeV (NSD) and Au + Au 200 GeV (0–5$\%$) collisions. Solid symbols: experimental data. Open symbols: MC simulation. Curves are the results of a Breit-Wigner function fit. Note: Two sets of MC data are shown for Au + Au 200 GeV, and see text for details.

$\phi$ meson transverse mass distributions for different collision systems and different energies. For clarity, distributions for some centrality bins have been scaled by factors indicated in the figure. Curves represent the exponential (solid) and Levy (dashed) function fits to the distributions. Error bars are statistical only. Note that a scale factor of 1.09 is applied to the $\phi$ meson spectra for Au + Au collisions at 200 GeV in Ref. [50] to correct for the kaon identification efficiency effect missed previously.

$\phi$ meson transverse mass distributions for different collision systems and different energies. For clarity, distributions for some centrality bins have been scaled by factors indicated in the figure. Curves represent the exponential (solid) and Levy (dashed) function fits to the distributions. Error bars are statistical only. Note that a scale factor of 1.09 is applied to the $\phi$ meson spectra for Au + Au collisions at 200 GeV in Ref. [50] to correct for the kaon identification efficiency effect missed previously.

$\phi$ meson transverse mass distributions for different collision systems and different energies. For clarity, distributions for some centrality bins have been scaled by factors indicated in the figure. Curves represent the exponential (solid) and Levy (dashed) function fits to the distributions. Error bars are statistical only. Note that a scale factor of 1.09 is applied to the $\phi$ meson spectra for Au + Au collisions at 200 GeV in Ref. [50] to correct for the kaon identification efficiency effect missed previously.

$\phi$ meson transverse mass distributions for different collision systems and different energies. For clarity, distributions for some centrality bins have been scaled by factors indicated in the figure. Curves represent the exponential (solid) and Levy (dashed) function fits to the distributions. Error bars are statistical only. Note that a scale factor of 1.09 is applied to the $\phi$ meson spectra for Au + Au collisions at 200 GeV in Ref. [50] to correct for the kaon identification efficiency effect missed previously.

$\phi$ meson transverse mass distributions for different collision systems and different energies. For clarity, distributions for some centrality bins have been scaled by factors indicated in the figure. Curves represent the exponential (solid) and Levy (dashed) function fits to the distributions. Error bars are statistical only. Note that a scale factor of 1.09 is applied to the $\phi$ meson spectra for Au + Au collisions at 200 GeV in Ref. [50] to correct for the kaon identification efficiency effect missed previously.

$\phi$ meson transverse mass distributions for different collision systems and different energies. For clarity, distributions for some centrality bins have been scaled by factors indicated in the figure. Curves represent the exponential (solid) and Levy (dashed) function fits to the distributions. Error bars are statistical only. Note that a scale factor of 1.09 is applied to the $\phi$ meson spectra for Au + Au collisions at 200 GeV in Ref. [50] to correct for the kaon identification efficiency effect missed previously.

$\phi$ meson transverse mass distributions for different collision systems and different energies. For clarity, distributions for some centrality bins have been scaled by factors indicated in the figure. Curves represent the exponential (solid) and Levy (dashed) function fits to the distributions. Error bars are statistical only. Note that a scale factor of 1.09 is applied to the $\phi$ meson spectra for Au + Au collisions at 200 GeV in Ref. [50] to correct for the kaon identification efficiency effect missed previously.

Comparison of transverse momentum spectra shape among different 200 GeV collision systems: Au + Au (0–5$\%$), d + Au (0–20$\%$), and p + p (inelastic). The spectra are normalized by $N_{bin}$ (top panel) and $N_{part}/2$ (bottom panel).

Comparison of transverse momentum spectra shape among different 200 GeV collision systems: Au + Au (0–5$\%$), d + Au (0–20$\%$), and p + p (inelastic). The spectra are normalized by $N_{bin}$ (top panel) and $N_{part}/2$ (bottom panel).

Comparison of transverse momentum spectra shape among different 200 GeV collision systems: Au + Au (0–5$\%$), d + Au (0–20$\%$), and p + p (inelastic). The spectra are normalized by $N_{bin}$ (top panel) and $N_{part}/2$ (bottom panel).

Comparison of transverse momentum spectra shape among different 200 GeV collision systems: Au + Au (0–5$\%$), d + Au (0–20$\%$), and p + p (inelastic). The spectra are normalized by $N_{bin}$ (top panel) and $N_{part}/2$ (bottom panel).

Comparison of transverse momentum spectra shape among different 200 GeV collision systems: Au + Au (0–5$\%$), d + Au (0–20$\%$), and p + p (inelastic). The spectra are normalized by $N_{bin}$ (top panel) and $N_{part}/2$ (bottom panel).

Comparison of transverse momentum spectra shape among different 200 GeV collision systems: Au + Au (0–5$\%$), d + Au (0–20$\%$), and p + p (inelastic). The spectra are normalized by $N_{bin}$ (top panel) and $N_{part}/2$ (bottom panel).

$N_{part}$ dependence of $(dN/dy)/0.5N_{part}$ in five different collision systems: Au + Au 62.4, 130, 200 GeV; p + p 200 GeV (inelastic); and d + Au 200 GeV. Statistical and systematic errors are included.

$N_{part}$ dependence of $(dN/dy)/0.5N_{part}$ in five different collision systems: Au + Au 62.4, 130, 200 GeV; p + p 200 GeV (inelastic); and d + Au 200 GeV. Statistical and systematic errors are included.

$N_{part}$ dependence of $(dN/dy)/0.5N_{part}$ in five different collision systems: Au + Au 62.4, 130, 200 GeV; p + p 200 GeV (inelastic); and d + Au 200 GeV. Statistical and systematic errors are included.

$N_{part}$ dependence of $(dN/dy)/0.5N_{part}$ in five different collision systems: Au + Au 62.4, 130, 200 GeV; p + p 200 GeV (inelastic); and d + Au 200 GeV. Statistical and systematic errors are included.

$N_{part}$ dependence of $(dN/dy)/0.5N_{part}$ in five different collision systems: Au + Au 62.4, 130, 200 GeV; p + p 200 GeV (inelastic); and d + Au 200 GeV. Statistical and systematic errors are included.

Top panel: $N_{part}$ dependence of $<p_{T}>_{\phi}$ in different collision systems. Bottom panel: Hadron mass dependence of $<p_{T}>$ in central Au + Au collisions at 62.4 and 200 GeV. The band and curve show two hydrodynamic model calculations for central Au + Au collisions at 200 GeV. Note: Hadron masses for the Au + Au 62.4 GeV data are shifted slightly in the $x$-axis direction for clarity, and systematic errors are included for $\phi$.

Top panel: $N_{part}$ dependence of $<p_{T}>_{\phi}$ in different collision systems. Bottom panel: Hadron mass dependence of $<p_{T}>$ in central Au + Au collisions at 62.4 and 200 GeV. The band and curve show two hydrodynamic model calculations for central Au + Au collisions at 200 GeV. Note: Hadron masses for the Au + Au 62.4 GeV data are shifted slightly in the $x$-axis direction for clarity, and systematic errors are included for $\phi$.

Top panel: $N_{part}$ dependence of $<p_{T}>_{\phi}$ in different collision systems. Bottom panel: Hadron mass dependence of $<p_{T}>$ in central Au + Au collisions at 62.4 and 200 GeV. The band and curve show two hydrodynamic model calculations for central Au + Au collisions at 200 GeV. Note: Hadron masses for the Au + Au 62.4 GeV data are shifted slightly in the $x$-axis direction for clarity, and systematic errors are included for $\phi$.

Top panel: $N_{part}$ dependence of $<p_{T}>_{\phi}$ in different collision systems. Bottom panel: Hadron mass dependence of $<p_{T}>$ in central Au + Au collisions at 62.4 and 200 GeV. The band and curve show two hydrodynamic model calculations for central Au + Au collisions at 200 GeV. Note: Hadron masses for the Au + Au 62.4 GeV data are shifted slightly in the $x$-axis direction for clarity, and systematic errors are included for $\phi$.

Top panel: $N_{part}$ dependence of $<p_{T}>_{\phi}$ in different collision systems. Bottom panel: Hadron mass dependence of $<p_{T}>$ in central Au + Au collisions at 62.4 and 200 GeV. The band and curve show two hydrodynamic model calculations for central Au + Au collisions at 200 GeV. Note: Hadron masses for the Au + Au 62.4 GeV data are shifted slightly in the $x$-axis direction for clarity, and systematic errors are included for $\phi$.

Top panel: $N_{part}$ dependence of $<p_{T}>_{\phi}$ in different collision systems. Bottom panel: Hadron mass dependence of $<p_{T}>$ in central Au + Au collisions at 62.4 and 200 GeV. The band and curve show two hydrodynamic model calculations for central Au + Au collisions at 200 GeV. Note: Hadron masses for the Au + Au 62.4 GeV data are shifted slightly in the $x$-axis direction for clarity, and systematic errors are included for $\phi$.

Top panel: Energy dependence of the ratio $\phi/\pi^{-}$ in A + A (full points) and p + p (open points) collisions. Stars are data from the STARexperiment at RHIC.Bottom panel: $N_{part}$ dependence of ratio $\phi/\pi^{-}$ in different collision systems. Systematic errors are included for the STAR data points.

Top panel: Energy dependence of the ratio $\phi/\pi^{-}$ in A + A (full points) and p + p (open points) collisions. Stars are data from the STARexperiment at RHIC.Bottom panel: $N_{part}$ dependence of ratio $\phi/\pi^{-}$ in different collision systems. Systematic errors are included for the STAR data points.

Top panel: Energy dependence of the ratio $\phi/\pi^{-}$ in A + A (full points) and p + p (open points) collisions. Stars are data from the STARexperiment at RHIC.Bottom panel: $N_{part}$ dependence of ratio $\phi/\pi^{-}$ in different collision systems. Systematic errors are included for the STAR data points.

Top panel: Energy dependence of the ratio $\phi/\pi^{-}$ in A + A (full points) and p + p (open points) collisions. Stars are data from the STARexperiment at RHIC.Bottom panel: $N_{part}$ dependence of ratio $\phi/\pi^{-}$ in different collision systems. Systematic errors are included for the STAR data points.

Top panel: Energy dependence of the ratio $\phi/\pi^{-}$ in A + A (full points) and p + p (open points) collisions. Stars are data from the STARexperiment at RHIC.Bottom panel: $N_{part}$ dependence of ratio $\phi/\pi^{-}$ in different collision systems. Systematic errors are included for the STAR data points.

Top panel: Energy dependence of the ratio $\phi/\pi^{-}$ in A + A (full points) and p + p (open points) collisions. Stars are data from the STARexperiment at RHIC.Bottom panel: $N_{part}$ dependence of ratio $\phi/\pi^{-}$ in different collision systems. Systematic errors are included for the STAR data points.

Top panel: Energy dependence of the ratio $\phi/\pi^{-}$ in A + A (full points) and p + p (open points) collisions. Stars are data from the STARexperiment at RHIC.Bottom panel: $N_{part}$ dependence of ratio $\phi/\pi^{-}$ in different collision systems. Systematic errors are included for the STAR data points.

Top panel: Energy dependence of ratio $\phi/K^{-}$ in $A + A$ and elementary ($e + e$ and $p + p$) collisions. Stars are data from STAR experiments at RHIC. Bottom panel: $N_{part}$ dependence of ratio $\phi/K^{-}$ in different collision systems. The dashed line shows results from $UrQMD$ model calculations. Systematic errors are included for the STAR data points.

Top panel: Energy dependence of ratio $\phi/K^{-}$ in $A + A$ and elementary ($e + e$ and $p + p$) collisions. Stars are data from STAR experiments at RHIC. Bottom panel: $N_{part}$ dependence of ratio $\phi/K^{-}$ in different collision systems. The dashed line shows results from $UrQMD$ model calculations. Systematic errors are included for the STAR data points.

Top panel: Energy dependence of ratio $\phi/K^{-}$ in $A + A$ and elementary ($e + e$ and $p + p$) collisions. Stars are data from STAR experiments at RHIC. Bottom panel: $N_{part}$ dependence of ratio $\phi/K^{-}$ in different collision systems. The dashed line shows results from $UrQMD$ model calculations. Systematic errors are included for the STAR data points.

Top panel: Energy dependence of ratio $\phi/K^{-}$ in $A + A$ and elementary ($e + e$ and $p + p$) collisions. Stars are data from STAR experiments at RHIC. Bottom panel: $N_{part}$ dependence of ratio $\phi/K^{-}$ in different collision systems. The dashed line shows results from $UrQMD$ model calculations. Systematic errors are included for the STAR data points.

Top panel: Energy dependence of ratio $\phi/K^{-}$ in $A + A$ and elementary ($e + e$ and $p + p$) collisions. Stars are data from STAR experiments at RHIC. Bottom panel: $N_{part}$ dependence of ratio $\phi/K^{-}$ in different collision systems. The dashed line shows results from $UrQMD$ model calculations. Systematic errors are included for the STAR data points.

Top panel: Energy dependence of ratio $\phi/K^{-}$ in $A + A$ and elementary ($e + e$ and $p + p$) collisions. Stars are data from STAR experiments at RHIC. Bottom panel: $N_{part}$ dependence of ratio $\phi/K^{-}$ in different collision systems. The dashed line shows results from $UrQMD$ model calculations. Systematic errors are included for the STAR data points.

Top panel: Energy dependence of ratio $\phi/K^{-}$ in $A + A$ and elementary ($e + e$ and $p + p$) collisions. Stars are data from STAR experiments at RHIC. Bottom panel: $N_{part}$ dependence of ratio $\phi/K^{-}$ in different collision systems. The dashed line shows results from $UrQMD$ model calculations. Systematic errors are included for the STAR data points.

Top panel: Energy dependence of ratio $\phi/K^{-}$ in $A + A$ and elementary ($e + e$ and $p + p$) collisions. Stars are data from STAR experiments at RHIC. Bottom panel: $N_{part}$ dependence of ratio $\phi/K^{-}$ in different collision systems. The dashed line shows results from $UrQMD$ model calculations. Systematic errors are included for the STAR data points.

The $\Omega/\phi$ ratio vs $p_{T}$ for three centrality bins in $\sqrt{s_{NN}} = 200 GeV$ Au + Au collisions, where the data points for 40–60$\%$ are shifted slightly for clarity. As shown in the legend, the lines represent results from Hwa and Yang [96], Ko et al. [97], and, for SCF, Refs. [98,99].

The $\Omega/\phi$ ratio vs $p_{T}$ for three centrality bins in $\sqrt{s_{NN}} = 200 GeV$ Au + Au collisions, where the data points for 40–60$\%$ are shifted slightly for clarity. As shown in the legend, the lines represent results from Hwa and Yang [96], Ko et al. [97], and, for SCF, Refs. [98,99].

$p_{T}$ dependence of the nuclear modification factor $R_{cp}$ in Au + Au 200 GeV collisions. The top and bottom panels present $R_{cp}$ from midperipheral and most-peripheral collisions, respectively. See legend for symbol and line designations. The rectangular bands showthe uncertainties of binary and participant scalings. Statistical and systematic errors are included.

$p_{T}$ dependence of the nuclear modification factor $R_{cp}$ in Au + Au 200 GeV collisions. The top and bottom panels present $R_{cp}$ from midperipheral and most-peripheral collisions, respectively. See legend for symbol and line designations. The rectangular bands showthe uncertainties of binary and participant scalings. Statistical and systematic errors are included.

$p_{T}$ dependence of the nuclear modification factor $R_{cp}$ in Au + Au 62.4 and 200 GeV and d + Au 200 GeV collisions, where rectangular bands represent the uncertainties of binary and participant scalings (see legend). Statistical and systematic errors are included.

$p_{T}$ dependence of the nuclear modification factor $R_{cp}$ in Au + Au 62.4 and 200 GeV and d + Au 200 GeV collisions, where rectangular bands represent the uncertainties of binary and participant scalings (see legend). Statistical and systematic errors are included.

$p_{T}$ dependence of the nuclear modification factor $R_{cp}$ in Au + Au 62.4 and 200 GeV and d + Au 200 GeV collisions, where rectangular bands represent the uncertainties of binary and participant scalings (see legend). Statistical and systematic errors are included.

$p_{T}$ dependence of the nuclear modification factor $R_{AB}$ for $\phi$ in Au + Au 200 GeV and d + Au 200 GeV collisions. For comparison, data points for $\pi^{+}+\pi^{-}$ in d + Au 200 GeV and $p+\bar{p}$ in d + Au 200 GeV are also shown (see legend). Rectangular bands show the uncertainties of binary (solid line) and participant (dot-dash line) scalings. Systematic errors are included for $\phi$, $\pi^{+}+\pi^{-}$, and $p+\bar{p}$.

$p_{T}$ dependence of the nuclear modification factor $R_{AB}$ for $\phi$ in Au + Au 200 GeV and d + Au 200 GeV collisions. For comparison, data points for $\pi^{+}+\pi^{-}$ in d + Au 200 GeV and $p+\bar{p}$ in d + Au 200 GeV are also shown (see legend). Rectangular bands show the uncertainties of binary (solid line) and participant (dot-dash line) scalings. Systematic errors are included for $\phi$, $\pi^{+}+\pi^{-}$, and $p+\bar{p}$.

$p_{T}$ dependence of the elliptic flow $v_{2}$ of $\phi$, $\Lambda$, and $K_{s}^{0}$ in Au + Au collisions (0–80$\%$) at 200 GeV. Data points for $\phi$ are from the reaction plane method (full up-triangles) and invariant mass method (full circles), where data points from the reaction plane method are shifted slightly along the $x$ axis for clarity. Vertical error bars represent statistical errors, while the square bands represent systematic uncertainties. The magenta curved band represents the $v_{2}$ of $\phi$ meson from the AMPT model with a string melting mechanism [116]. The dash and dot curves represent parametrizations inspired by number-of-quark scaling ideas from Ref. [117] for NQ = 2 and NQ = 3, respectively.

Elliptic flow $v_{2}$ as a function of $p_{T}$ , $v_{2}$($p_{T}$), for the $\phi$ meson from different centralities. The vertical error bars represent the statistical errors, while the square bands represent the systematic uncertainties. For clarity, data points of 10–40$\%$ are shifted in the $p_{T}$ direction slightly.

Elliptic flow $v_{2}$ as a function of $p_{T}$ , $v_{2}$($p_{T}$), for the $\phi$ meson from different centralities. The vertical error bars represent the statistical errors, while the square bands represent the systematic uncertainties. For clarity, data points of 10–40$\%$ are shifted in the $p_{T}$ direction slightly.

(Color online) Dynamical net charge fluctuations, $\nu_{+−,dyn}$, of particles produced with pseudorapidity $|\eta|$ < 0.5 scaled by (a) the multiplicity, $dN_{ch}/d\eta$. The dashed line corresponds to charge conservation effect and the solid line to the prediction for a resonance gas, (b) the number of participants, and (c) the number of binary collisions.

(Color online) Dynamical net charge fluctuations, $\nu_{+−,dyn}$, of particles produced with pseudorapidity $|\eta|$ < 0.5 scaled by (a) the multiplicity, $dN_{ch}/d\eta$. The dashed line corresponds to charge conservation effect and the solid line to the prediction for a resonance gas, (b) the number of participants, and (c) the number of binary collisions.

(Color online) Dynamical fluctuations $\nu_{+−,dyn}$, normalized to their value for |$\eta$| < 1, as function of the integrated pseudorapidity range. (a) data for $Au + Au$ collisions at $\sqrt{s_{NN}}$ = 62.4, 200 GeV (0-5%) along with data for $Cu + Cu$ collisions at $\sqrt{s_{NN}}$ = 62.4, 200 GeV (0-10%), are compared to inclusive $p + p$ data at $\sqrt{s}$ = 200 GeV, and (b) data for $Au + Au$ collisions at $\sqrt{s_{NN}}$ = 62.4, 200 GeV (30-40%) along with data for $Cu + Cu$ collisions at $\sqrt{s_{NN}}$ = 62.4, 200 GeV (0-10%), are compared to inclusive $p + p$ collision data at $\sqrt{}s$ = 200 GeV.

(Color online) Dynamical fluctuations $\nu_{+−,dyn}$, normalized to their value for |$\eta$| < 1, as function of the integrated pseudorapidity range. (a) data for $Au + Au$ collisions at $\sqrt{s_{NN}}$ = 62.4, 200 GeV (0-5%) along with data for $Cu + Cu$ collisions at $\sqrt{s_{NN}}$ = 62.4, 200 GeV (0-10%), are compared to inclusive $p + p$ data at $\sqrt{s}$ = 200 GeV, and (b) data for $Au + Au$ collisions at $\sqrt{s_{NN}}$ = 62.4, 200 GeV (30-40%) along with data for $Cu + Cu$ collisions at $\sqrt{s_{NN}}$ = 62.4, 200 GeV (0-10%), are compared to inclusive $p + p$ collision data at $\sqrt{}s$ = 200 GeV.

(Color online) Dynamical fluctuations $\nu_{+−,dyn}$, as a function of the integrated azimuthal range $\phi$ for selected collision centralities for (a) $Au + Au$ collisions at $\sqrt{s_{NN}}$ = 200 GeV, and (b) $Cu + Cu$ collisions at $\sqrt{s_{NN}}$ = 200 GeV.

(Color online) Dynamical fluctuations $\nu_{+−,dyn}$, as a function of the integrated azimuthal range $\phi$ for selected collision centralities for (a) $Au + Au$ collisions at $\sqrt{s_{NN}}$ = 200 GeV, and (b) $Cu + Cu$ collisions at $\sqrt{s_{NN}}$ = 200 GeV.

(Color online) Dynamical fluctuations $\nu_{+−,dyn}$, as a function of the integrated azimuthal range $\phi$ for similar number of participating nucleons for $Au + Au$ and $Cu + Cu$ $\sqrt{s_{NN}}$ = 200 GeV.

Charged particle $v_1(\eta)$ for 40-80 % centrality in Au+Au collisions at 200 GeV.

Charged particle $v_1(p_t)$ in 200 GeV Au+Au for three centralities and two pseudorapidity ranges.

Charged particle $v_1(\eta)$ for mid-central (30-60%) Au+Au and Cu+Cu collisions at 200 GeV and 62.4 GeV.

Charged particle $v_1$ versus centrality for Au+Au and Cu+Cu collisions at 200 GeV and 62.4 GeV in two pseudorapidity ranges.

Charged particle $v_1$ versus $\eta-y_{beam}$, for 30 − 60% Au+Au collisions at 200 GeV.

Charged particle $v_1$ versus $\eta-y_{beam}$, for 30 − 60% Cu+Cu collisions at 200 GeV.

Charged particle $v_1$ versus $\eta-y_{beam}$, for 30 − 60% Au+Au collisions at 62.4 GeV.

Charged particle $v_1$ versus $\eta-y_{beam}$, for 30 − 60% Cu+Cu collisions at 62.4 GeV.

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

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

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

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

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

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

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

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

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

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

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

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*+-.

Analyzing powers A_N(-x_F) in x_F bins at < eta > =3.3 and x_F < 0.

Analyzing powers versus pi^0 transverse momentum (p_T) for events with scaled pi^0 longitudinal momentum x_F > 0.4.

Analyzing powers versus pi^0 transverse momentum (p_T) for events with scaled pi^0 longitudinal momentum x_F < -0.4.

Analyzing powers versus pi^0 transverse momentum (p_T) in 0.25 < x_F < 0.30 bin.

Analyzing powers versus pi^0 transverse momentum (p_T) in 0.30 < x_F < 0.35 bin.

Analyzing powers versus pi^0 transverse momentum (p_T) in 0.35 < x_F < 0.40 bin.

Analyzing powers versus pi^0 transverse momentum (p_T) in 0.40 < x_F < 0.47 bin.

Analyzing powers versus pi^0 transverse momentum (p_T) in 0.47 < x_F < 0.56 bin.

Analyzing powers versus pi^0 transverse momentum (p_T) in 0.56 < x_F < 0.80 bin.

$v_{2}$ as a function of $p_{T}$ for charged hadrons with $|\eta| < 1.0$ in 10–40$%$ $Au+Au$ collisions, at $\sqrt{s_{NN}} = 200$ GeV, from the Lee-Yang Zero method (solid circles) with Sum Generating Function.

$v_{2}$ as a function of $p_{T}$ for charged hadrons with $|\eta| < 1.0$ in 0–80$%$ $Au+Au$ collisions, at $\sqrt{s_{NN}} = 200$ GeV, from the Event Plane method.

$p_{T}$ integrated charged hadron $v_{2}$ in the TPC as a function of geometrical cross section. Shown are the Event Plane method ($v_{2}${EP}) (open circles). All data are from $Au+Au$ collisions, at $\sqrt{s_{NN}} = 200$ GeV. For the TPC, $|\eta|< 1.0$ was used.

$p_{T}$ integrated charged hadron $v_{2}$ in the TPC as a function of geometrical cross section. Shown are the 4 Cumulant method ($v_{2}${4}) (solid squares). All data are from $Au+Au$ collisions, at $\sqrt{s_{NN}} = 200$ GeV. For the TPC, $|\eta|< 1.0$ was used.

$p_{T}$ integrated charged hadron $v_{2}$ in the TPC as a function of geometrical cross section. Shown are the Lee-Yang Zero method with Sum Generating Function ($v_{2}$) (solid circles). All data are from $Au+Au$ collisions, at $\sqrt{s_{NN}} = 200$ GeV. For the TPC, $|\eta|< 1.3$ was used.

$p_{T}$ integrated charged hadron $v_{2}$ in the TPC as a function of geometrical cross section. Shown are the Lee-Yang Zero method with Product Generating Function ($v_{2}$) (open stars). All data are from $Au+Au$ collisions, at $\sqrt{s_{NN}} = 200$ GeV. For the TPC, $|\eta|< 1.3$ was used.

$v_{2}$ as a function of $p_{T}$ for $10–40\%$ centrality using $\eta$-subevent method (open crosses), are shown in (a) for $\Lambda$. All data are from $\sqrt{s_{NN}} = 200$ GeV $Au+Au$ collisions.

$v_{2}$ as a function of $p_{T}$ for $10–40\%$ centrality using Event Plane method (open circles), are shown in (a) for $\Lambda$. All data are from $\sqrt{s_{NN}} = 200$ GeV $Au+Au$ collisions.

$v_{2}$ as a function of $p_{T}$ for $10–40\%$ centrality using $\eta$-subevent method (open crosses), are shown in (b) for $K_{S}^{0}$. All data are from $\sqrt{s_{NN}} = 200$ GeV $Au+Au$ collisions.

$v_{2}$ as a function of $p_{T}$ for $10–40\%$ centrality using Event Plane method (open circles), are shown in (b) for $K_{S}^{0}$. All data are from $\sqrt{s_{NN}} = 200$ GeV $Au+Au$ collisions.

$v_{2}$ as a function of $p_{T}$ for $10–40\%$ centrality using Lee-Yang Zero method with Sum Generating Function (solid circles), are shown in (a) and (b) for $\Lambda$ and $K_{S}^{0}$ respectively. All data are from $\sqrt{s_{NN}} = 200$ GeV $Au+Au$ collisions.

$v_{2}$ of $K_{S}^{0}$ (open circles) as a function of $p_{T}$ for (a) $0–80\%$, (b) $40–80\%$, (c) $10–40\%$ and (d) $0–10\%$ centralities in $Au+Au$ collisions at $\sqrt{s_{NN}} = 200$ GeV.

$v_{2}$ of $\Lambda+\bar{\Lambda}$ (open squares) as a function of $p_{T}$ for (a) $0–80\%$, (b) $40–80\%$, (c) $10–40\%$ and (d) $0–10\%$ centralities in $Au+Au$ collisions at $\sqrt{s_{NN}} = 200$ GeV.

$v_{2}$ of $\Xi^{-}+\bar{\Xi}^{+}$ (filled triangles) as a function of $p_{T}$ for (a) $0–80\%$ centrality in $Au+Au$ collisions at $\sqrt{s_{NN}} = 200$ GeV.

$v_{2}$ of $\Xi^{-}+\bar{\Xi}^{+}$ (filled triangles) as a function of $p_{T}$ for (b) $40–80\%$ centrality in $Au+Au$ collisions at $\sqrt{s_{NN}} = 200$ GeV.

$v_{2}$ of $\Xi^{-}+\bar{\Xi}^{+}$ (filled triangles) as a function of $p_{T}$ for (c) $10–40\%$ centrality in $Au+Au$ collisions at $\sqrt{s_{NN}} = 200$ GeV.

$v_{2}$ of $\Xi^{-}+\bar{\Xi}^{+}$ (filled triangles) as a function of $p_{T}$ for (d) $0–10\%$ centrality in $Au+Au$ collisions at $\sqrt{s_{NN}} = 200$ GeV.

$v_{2}$ of $\Omega^{-}+\bar{\Omega}^{+}$ (filled circles) as a function of $p_{T}$ for (a) $0–80\%$ centrality in $Au+Au$ collisions at $\sqrt{s_{NN}} = 200$ GeV.

$v_{2}$ of $\Omega^{-}+\bar{\Omega}^{+}$ (filled circles) as a function of $p_{T}$ for (d) $0–10\%$ centrality in $Au+Au$ collisions at $\sqrt{s_{NN}} = 200$ GeV.

$v_{2}$ of $p+\bar{p}$ (filled squares) and $\pi^{+}+\pi^{-}$ (filled stars) as a function of $p_{T}$ for (a) $0–80\%$ centrality in $Au+Au$ collisions at $\sqrt{s_{NN}} = 200$ GeV.

Fig12d inset $\Lambda$ (open squares) expansion at low $p_{T}$

Fig12d inset for $K_{S}^{0}$ (filled circles) expansion at low $p_{T}$

Fig13 Centrality dependence of $v_{2}$ versus number of participants $N_{part}$ for charged hadrons (crosses) in $Au+Au$ collisions at $\sqrt{s_{NN}} = 200$ GeV. For identified particle's value, $v_{2}$ in Tab. II scaled by participant eccentricity in Tab. I versus number of participant in Tab. I.

Fig14 $p_{T}$ dependence of $v_{2}$ of $K_{S}^{0}$ at 200 GeV.

Fig14 $p_{T}$ dependence of $v_{2}$ of $\Lambda$ at 200 GeV.

(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].