Corrected mid-rapidity (|y| < 0.5) pT spectra for $K^{+}$, $K^{−}$, $K^{0}_{S}$, Λ, Ξ, and Ω. Λ spectra that have been corrected for feed-down are shown as open symbols in the Λ panel. The dashed lines are fits using Equation 11 except for the $\Omega+\overline{\Omega}$ where the fit uses Equation 9. The error bars displayed include systematic errors while the fits were done using statistical errors only for all species except the charged kaons.

Mid-rapidity (|y| < 0.5) ratios of $\overline{\Lambda}$ to $\Lambda$ and $\overline{\Xi}^{+}$ to $\Xi^{-}$ vs $p_{T}$. The dashed lines in 10(b) and 10(c) are the errorweighted means over the measured $p_{T}$ range, 0.882±0.017 for $\overline{\Lambda}/\Lambda$, 0.921±0.062 for $\overline{\Xi}/\Xi$. Figure 10(a) shows the $p_{T}$ averaged ratio for our measured species compared with measurements from Au+Au. The error bars are statistical only. The dashed line in 10(a) is at unity for reference.

Mid-rapidity (|y| < 0.5) ratios of $\overline{\Lambda}$ to $\Lambda$ and $\overline{\Xi}^{+}$ to $\Xi^{-}$ vs $p_{T}$. The dashed lines in 10(b) and 10(c) are the errorweighted means over the measured $p_{T}$ range, 0.882±0.017 for $\overline{\Lambda}/\Lambda$, 0.921±0.062 for $\overline{\Xi}/\Xi$. Figure 10(a) shows the $p_{T}$ averaged ratio for our measured species compared with measurements from Au+Au. The error bars are statistical only. The dashed line in 10(a) is at unity for reference.

Mid-rapidity (|y| < 0.5) ratios of $\overline{\Lambda}$ to $\Lambda$ and $\overline{\Xi}^{+}$ to $\Xi^{-}$ vs $p_{T}$. The dashed lines in 10(b) and 10(c) are the errorweighted means over the measured $p_{T}$ range, 0.882±0.017 for $\overline{\Lambda}/\Lambda$, 0.921±0.062 for $\overline{\Xi}/\Xi$. Figure 10(a) shows the $p_{T}$ averaged ratio for our measured species compared with measurements from Au+Au. The error bars are statistical only. The dashed line in 10(a) is at unity for reference.

⟨$p_{T}$⟩ vs particle mass for different particles measured by STAR. Error bars include systematic errors. The ISR parameterization is given in reference [32]

⟨$p_{T}$⟩ vs charged multiplicity for $K^{+}$, $K^{−}$, $K^{0}_{S}$, $\Lambda+\overline{\Lambda}$, and $\Xi+\overline{\Xi}$. The points for $\Xi+\overline{\Xi}$ have been determined using only the measured region. The error bars are statistical only. See text for more details.

Ratios of multiplicity binned spectra to minimum bias spectra ($R_{pp}$) for $K^{0}_{S}$ and Λ and the ratio of the Λ spectrum to the $K^{0}_{S}$ spectrum in each multiplicity bin. See text for further details.

Ratios of multiplicity binned spectra to minimum bias spectra ($R_{pp}$) for $K^{0}_{S}$ and Λ and the ratio of the Λ spectrum to the $K^{0}_{S}$ spectrum in each multiplicity bin. See text for further details.

Ratios of multiplicity binned spectra to minimum bias spectra ($R_{pp}$) for $K^{0}_{S}$ and Λ and the ratio of the Λ spectrum to the $K^{0}_{S}$ spectrum in each multiplicity bin. See text for further details.

Parameters of ratio data to statistical model fit using THERMUS. Filled circles are ratios from $\sqrt{s}$=200 GeV collisions in STAR. Solid lines are the results from the statis- tical model fit. All ratios to the left of the vertical line were used in the fit. The $(\Omega^{-}+\overline{\Omega^{+}})/\Xi^{-}$ ratio was then predicted from the fit results. The dashed lines in the lower panel are guides for the eye at 1 σ.

Parameters of ratio data to statistical model fit using THERMUS. Filled circles are ratios from $\sqrt{s}$=200 GeV collisions in STAR. Solid lines are the results from the statis- tical model fit. All ratios to the left of the vertical line were used in the fit. The $(\Omega^{-}+\overline{\Omega^{+}})/\Xi^{-}$ ratio was then predicted from the fit results. The dashed lines in the lower panel are guides for the eye at 1 σ.

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.

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.

Coordinates of the 2-sigma contour plot for the cross section of Drell-Yan pairs (first column) and bottom-antibottom quark pairs (second column).

Coordinates of the 1-sigma contour plot for the cross section of Drell-Yan pairs (first column) and bottom-antibottom quark pairs (second column).

The STAR measurement of the midrapidity Upsilon(1S+2S+3S)cross section times branching ratio into electrons (star).

Evolution of the Upsilon(1S+2S+3S) cross section with center-of-mass energy.

$v_{2}$ 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.

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

K0sK0s correlation function

K0sK0s theoretical correlation function

K0sK0s correlation function with fit functions

K0sK0s radius versus pair purity

K0sK0s lambda versus pair purity

K0sK0s radius versus Mean KT

K0sK0s radius versus MT

Balance functions in pseudorapidity windows -1 < eta < 1 for 0.15 < pT < 2 GEV/c.

Balance functions in pseudorapidity windows -1.3 < eta < 1.3 for 0.15 < pT < 2 GEV/c.

Balance functions observed at five different positions of pseudorapidity windows with |eta_w|=0.8 for 0.15 < pT < 2 GEV/c and -1 < eta < -0.2.

Balance functions observed at five different positions of pseudorapidity windows with |eta_w|=0.8 for 0.15 < pT < 2 GEV/c and -0.8 < eta < 0.

Balance functions observed at five different positions of pseudorapidity windows with |eta_w|=0.8 for 0.15 < pT < 2 GEV/c and -0.4 < eta < 0.4.

Balance functions observed at five different positions of pseudorapidity windows with |eta_w|=0.8 for 0.15 < pT < 2 GEV/c and 0 < eta < 0.8.

Balance functions observed at five different positions of pseudorapidity windows with |eta_w|=0.8 for 0.15 < pT < 2 GEV/c and 0.2 < eta < 1.

Scaled balance function obtained for various pseudorapidity window widths and positions for 0.15 < pT < 2 GEV/c and -0.3 < eta < 0.3.

Scaled balance function obtained for various pseudorapidity window widths and positions for 0.15 < pT < 2 GEV/c and 0 < eta < 1.

Scaled balance function obtained for various pseudorapidity window widths and positions for 0.15 < pT < 2 GEV/c and -1 < eta < 0.

Scaled balance function obtained for various pseudorapidity window widths and positions for 0.15 < pT < 2 GEV/c and -0.5 < eta < 0.5.

Scaled balance function obtained for various pseudorapidity window widths and positions for 0.15 < pT < 2 GEV/c and -1 < eta < 1.

Scaled balance function obtained for various pseudorapidity window widths and positions for 0.15 < pT < 2 GEV/c and -1.3 < eta < 1.3.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 0.15 < pT < 0.4 GEV/c and -0.3 < eta < 0.3.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 0.15 < pT < 0.4 GEV/c and 0 < eta < 1.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 0.15 < pT < 0.4 GEV/c and -1 < eta < 0.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 0.15 < pT < 0.4 GEV/c and -0.5 < eta < 0.5.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 0.15 < pT < 0.4 GEV/c and -1 < eta < 1.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 0.15 < pT < 0.4 GEV/c and -1.3 < eta < 1.3.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 0.4 < pT < 0.7 GEV/c and -0.3 < eta < 0.3.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 0.4 < pT < 0.7 GEV/c and 0 < eta < 1.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 0.4 < pT < 0.7 GEV/c and -1 < eta < 0.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 0.4 < pT < 0.7 GEV/c and -0.5 < eta < 0.5.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 0.4 < pT < 0.7 GEV/c and -1 < eta < 1.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 0.4 < pT < 0.7 GEV/c and -1.3 < eta < 1.3.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 0.7 < pT < 1 GEV/c and -0.3 < eta < 0.3.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 0.7 < pT < 1 GEV/c and 0 < eta < 1.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 0.7 < pT < 1 GEV/c and -1 < eta < 0.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 0.7 < pT < 1 GEV/c and -0.5 < eta < 0.5.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 0.7 < pT < 1 GEV/c and -1 < eta < 1.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 0.7 < pT < 1 GEV/c and -1.3 < eta < 1.3.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 1 < pT < 2 GEV/c and -0.3 < eta < 0.3.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 1 < pT < 2 GEV/c and 0 < eta < 1.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 1 < pT < 2 GEV/c and -1 < eta < 0.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 1 < pT < 2 GEV/c and -0.5 < eta < 0.5.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 1 < pT < 2 GEV/c and -1 < eta < 1.

B_s(d eta) based on B(d eta|eta_w) values measured in different pseudorapidity windows for particles in 1 < pT < 2 GEV/c and -1.3 < eta < 1.3.

The pT dependence of the width of the BF in 60-80% centrality.

The pT dependence of the width of the BF in 30-60% centrality.

The pT dependence of the width of the BF in 10-30% centrality.

The pT dependence of the width of the BF in 0-10% centrality.

The centrality dependence of the width of the BF in 0.15 < pT < 0.4 GEV/c.

The centrality dependence of the width of the BF in 0.4 < pT < 0.7 GEV/c.

The centrality dependence of the width of the BF in 0.7 < pT < 1 GEV/c.

The centrality dependence of the width of the BF in 1 < pT < 2 GEV/c.

Charged hadron azimuthal anisotropy v2 as a function of pT in 50-60% Cu+Cu collisions at 200 GeV using FTPC flow vectors, and that with subtracting the azimuthal correlations in p+p collisions.

Charged hadron azimuthal anisotropy v2 as a function of pT in 40-50% Cu+Cu collisions at 200 GeV using FTPC flow vectors, and that with subtracting the azimuthal correlations in p+p collisions.

Charged hadron azimuthal anisotropy v2 as a function of pT in 30-40% Cu+Cu collisions at 200 GeV using FTPC flow vectors, and that with subtracting the azimuthal correlations in p+p collisions.

Charged hadron azimuthal anisotropy v2 as a function of pT in 20-30% Cu+Cu collisions at 200 GeV using FTPC flow vectors, and that with subtracting the azimuthal correlations in p+p collisions.

Charged hadron azimuthal anisotropy v2 as a function of pT in 10-20% Cu+Cu collisions at 200 GeV using FTPC flow vectors, and that with subtracting the azimuthal correlations in p+p collisions.

Charged hadron azimuthal anisotropy v2 as a function of pT in 0-10% Cu+Cu collisions at 200 GeV using FTPC flow vectors, and that with subtracting the azimuthal correlations in p+p collisions.

Charged hadron azimuthal anisotropy v2 integrated over pT and eta vs centrality in Cu+Cu collisions at 200 GeV for the various methods.

Charged hadron azimuthal anisotropy v2 integrated over pT and eta vs centrality in Cu+Cu collisions at 62.4 GeV for the various methods.

Charged hadron azimuthal anisotropy v2 as a function of pT in 50-60% Cu+Cu collisions at 62.4 GeV. Data tables for 200 GeV are shown in Fig.4.

Charged hadron azimuthal anisotropy v2 as a function of pT in 40-50% Cu+Cu collisions at 62.4 GeV using FTPC flow vectors. Data tables for 200 GeV are shown in Fig.4.

Charged hadron azimuthal anisotropy v2 as a function of pT in 30-40% Cu+Cu collisions at 62.4 GeV using FTPC flow vectors. Data tables for 200 GeV are shown in Fig.4.

Charged hadron azimuthal anisotropy v2 as a function of pT in 20-30% Cu+Cu collisions at 62.4 GeV using FTPC flow vectors. Data tables for 200 GeV are shown in Fig.4.

Charged hadron azimuthal anisotropy v2 as a function of pT in 10-20% Cu+Cu collisions at 62.4 GeV using FTPC flow vectors. Data tables for 200 GeV are shown in Fig.4.

Charged hadron azimuthal anisotropy v2 as a function of pT in 0-10% Cu+Cu collisions at 62.4 GeV using FTPC flow vectors. Data tables for 200 GeV are shown in Fig.4.

Charged hadron azimuthal anisotropy v2 as a function of pT in 0-60% Cu+Cu collisions at 62.4 GeV using FTPC flow vectors. Data tables for 200 GeV are shown in Fig.3.

K0S azimuthal anisotropy v2 vs pT in 0-60% central Cu+Cu collisions at 200 GeV.

K0S azimuthal anisotropy v2 vs pT in 0-20% central Cu+Cu collisions at 200 GeV.

K0S azimuthal anisotropy v2 vs pT in 20-60% central Cu+Cu collisions at 200 GeV.

Lambda azimuthal anisotropy v2 vs pT in 0-60% central Cu+Cu collisions at 200 GeV.

Lambda azimuthal anisotropy v2 vs pT in 0-20% central Cu+Cu collisions at 200 GeV.

Lambda azimuthal anisotropy v2 vs pT in 20-60% central Cu+Cu collisions at 200 GeV.

Xi azimuthal anisotropy v2 vs pT in 0-60% central Cu+Cu collisions at 200 GeV.

phi azimuthal anisotropy v2 vs pT in 0-60% central Cu+Cu collisions at 200 GeV.

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.