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

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

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

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

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

Reference multiplicity distributions obtained from Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV data (black markers), Glauber model (red histogram), and unfolding approach to separate single and pileup contributions. Vertical lines represent statistical uncertainties. Single, pileup, and single+pileup collisions are shown in solid blue markers, dashed green, and dashed pink lines, respectively. The 0–5% central events and 5–60% mid-central to peripheral events are indicated by black arrows. The ratio of the single+pileup to the measured multiplicity distribution is shown in the lower panel.

Reference multiplicity distributions obtained from Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV data (black markers), Glauber model (red histogram), and unfolding approach to separate single and pileup contributions. Vertical lines represent statistical uncertainties. Single, pileup, and single+pileup collisions are shown in solid blue markers, dashed green, and dashed pink lines, respectively. The 0–5% central events and 5–60% mid-central to peripheral events are indicated by black arrows. The ratio of the single+pileup to the measured multiplicity distribution is shown in the lower panel.

Proton cumulants as a function of reference multiplicity (black circles) from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Centrality-binned results with and without centrality bin width corrections are represented by red circles and blue squares, respectively. Vertical dashed lines indicate the centrality classes, from right to left: 0–5%, 5–10%, 10–20%. Data points in this figure are only corrected for detector efficiency but not for the pileup effect, which will be discussed in a later section.

Proton cumulants as a function of reference multiplicity (black circles) from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Centrality-binned results with and without centrality bin width corrections are represented by red circles and blue squares, respectively. Vertical dashed lines indicate the centrality classes, from right to left: 0–5%, 5–10%, 10–20%. Data points in this figure are only corrected for detector efficiency but not for the pileup effect, which will be discussed in a later section.

Proton cumulants as a function of reference multiplicity (black circles) from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Centrality-binned results with and without centrality bin width corrections are represented by red circles and blue squares, respectively. Vertical dashed lines indicate the centrality classes, from right to left: 0–5%, 5–10%, 10–20%. Data points in this figure are only corrected for detector efficiency but not for the pileup effect, which will be discussed in a later section.

Proton cumulants as a function of reference multiplicity from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Pileup corrected and uncorrected cumulants as a function of reference multiplicity are represented by black circles and blue open squares, respectively. Red circles and blue-filled squares represent the results of centrality binned data.

Proton cumulants as a function of reference multiplicity from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Pileup corrected and uncorrected cumulants as a function of reference multiplicity are represented by black circles and blue open squares, respectively. Red circles and blue-filled squares represent the results of centrality binned data.

Ratios of proton cumulants as a function of reference multiplicity from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Pileup corrected and uncorrected cumulants are represented by black circles and blue open squares, respectively. Red circles and blue-filled squares represent the results of centrality binned data.

Ratios of proton cumulants as a function of reference multiplicity from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Pileup corrected and uncorrected cumulants are represented by black circles and blue open squares, respectively. Red circles and blue-filled squares represent the results of centrality binned data.

UrQMD results of the proton cumulant ratios up to sixth order in Au+Au collisions at $\sqrt{s_{\rm NN}}$= 3 GeV. The black circles are without VF correction while blue squares and red triangles are results with VFC which used $N_{\rm part}$ distributions from UrQMD and Glauber models, respectively. The blue crosses are calculations using UrQMD events with b $\leq$ 3 fm. The above results are applied CBWC except for the one (blue crosses) using b $\leq$3 fm events.

UrQMD results of the proton cumulant ratios up to sixth order in Au+Au collisions at $\sqrt{s_{\rm NN}}$= 3 GeV. The black circles are without VF correction while blue squares and red triangles are results with VFC which used $N_{\rm part}$ distributions from UrQMD and Glauber models, respectively. The blue crosses are calculations using UrQMD events with b $\leq$ 3 fm. The above results are applied CBWC except for the one (blue crosses) using b $\leq$3 fm events.

Proton cumulants up to sixth order in $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Data without volume fluctuation correction is shown as grey open squares while data with volume fluctuation correction using $N_{\rm part}$ distributions from Glauber and UrQMD models are shown as black circles and black open triangles, respectively. The corresponding centrality binned cumulants are shown in blue squares, red circles, and orange triangles, respectively. Similarly to Fig. 6, the vertical dashed lines indicate the centrality classes.

Proton cumulants up to sixth order in $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Data without volume fluctuation correction is shown as grey open squares while data with volume fluctuation correction using $N_{\rm part}$ distributions from Glauber and UrQMD models are shown as black circles and black open triangles, respectively. The corresponding centrality binned cumulants are shown in blue squares, red circles, and orange triangles, respectively. Similarly to Fig. 6, the vertical dashed lines indicate the centrality classes.

Proton cumulant ratios up to sixth order in $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Data without volume fluctuation correction are shown as grey open squares while data with volume fluctuation correction using $N_{\rm part}$ distributions from Glauber and UrQMD models are shown as black circles and black open triangles, respectively. The corresponding centrality binned cumulants are shown in blue squares, red circles, and orange triangles, respectively. Similarly to Fig. 6, the vertical dashed lines indicate the centrality classes.

Proton cumulant ratios up to sixth order in $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions. Data without volume fluctuation correction are shown as grey open squares while data with volume fluctuation correction using $N_{\rm part}$ distributions from Glauber and UrQMD models are shown as black circles and black open triangles, respectively. The corresponding centrality binned cumulants are shown in blue squares, red circles, and orange triangles, respectively. Similarly to Fig. 6, the vertical dashed lines indicate the centrality classes.

UrQMD results of proton cumulant ratios up to sixth order in Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. The vertical dashed lines indicate the centrality classes.

Experimental results on centrality dependence of cumulants (left panels) and cumulant ratios (right panels) up to sixth order of the proton multiplicity distributions in Au+Au collisions at $N_{\rm part}$ = 3 GeV. The open squares are data without VF correction while red circles and blue triangles are results with VF correction with $N_{\rm part}$ distributions from Glauber and UrQMD models, respectively.

Experimental results on centrality dependence of cumulants (left panels) and cumulant ratios (right panels) up to sixth order of the proton multiplicity distributions in Au+Au collisions at $N_{\rm part}$ = 3 GeV. The open squares are data without VF correction while red circles and blue triangles are results with VF correction with $N_{\rm part}$ distributions from Glauber and UrQMD models, respectively.

Same as Fig. 14 but for correlation function (left panels) and their normalized ratios (right panels).

Same as Fig. 14 but for correlation function (left panels) and their normalized ratios (right panels).

Cumulants and cumulant ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. The transverse momentum window is $p_{\rm T}$ from $0.4<p_{\rm T}<2.0$ GeV/$c$ and the rapidity window is $−0.5<y<0$. Statistical and systematic uncertainties are represented by black and gray bars, respectively. UrQMD predictions are depicted by gold bands.

Cumulants and cumulant ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. The transverse momentum window is $p_{\rm T}$ from $0.4<p_{\rm T}<2.0$ GeV/$c$ and the rapidity window is $−0.5<y<0$. Statistical and systematic uncertainties are represented by black and gray bars, respectively. UrQMD predictions are depicted by gold bands.

Same as Fig. 16 but for correlation functions and correlation function ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV.

Same as Fig. 16 but for correlation functions and correlation function ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV.

The transverse-momentum and rapidity dependence of cumulant ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. In the left column, the $p_{\rm T}$ analysis window is $0.4<p_{\rm T}<2.0$ GeV/$c$ while the rapidity window is varied in the range $y_{\rm min}<y<0$. In the right column, the rapidit$y$ analysis window is $−0.5<y<0$ while the $p_{\rm T}$ is varied in the range $0.4<p_{\rm T}<p_{\rm T}^{\rm max}$ GeV/$c$. The most central (0–5%) and peripheral (50–60%) events are depicted by black squares and blue triangles, respectively. Statistical and systematic uncertainties are represented by black and gray bars, respectively. UrQMD simulations for the top 0–5% and 50–60% are shown by gold and blue bands, respectively.

The transverse-momentum and rapidity dependence of cumulant ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. In the left column, the $p_{\rm T}$ analysis window is $0.4<p_{\rm T}<2.0$ GeV/$c$ while the rapidity window is varied in the range $y_{\rm min}<y<0$. In the right column, the rapidit$y$ analysis window is $−0.5<y<0$ while the $p_{\rm T}$ is varied in the range $0.4<p_{\rm T}<p_{\rm T}^{\rm max}$ GeV/$c$. The most central (0–5%) and peripheral (50–60%) events are depicted by black squares and blue triangles, respectively. Statistical and systematic uncertainties are represented by black and gray bars, respectively. UrQMD simulations for the top 0–5% and 50–60% are shown by gold and blue bands, respectively.

The transverse-momentum and rapidity dependence of cumulant ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. In the left column, the $p_{\rm T}$ analysis window is $0.4<p_{\rm T}<2.0$ GeV/$c$ while the rapidity window is varied in the range $y_{\rm min}<y<0$. In the right column, the rapidit$y$ analysis window is $−0.5<y<0$ while the $p_{\rm T}$ is varied in the range $0.4<p_{\rm T}<p_{\rm T}^{\rm max}$ GeV/$c$. The most central (0–5%) and peripheral (50–60%) events are depicted by black squares and blue triangles, respectively. Statistical and systematic uncertainties are represented by black and gray bars, respectively. UrQMD simulations for the top 0–5% and 50–60% are shown by gold and blue bands, respectively.

The transverse-momentum and rapidity dependence of cumulant ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV. In the left column, the $p_{\rm T}$ analysis window is $0.4<p_{\rm T}<2.0$ GeV/$c$ while the rapidity window is varied in the range $y_{\rm min}<y<0$. In the right column, the rapidit$y$ analysis window is $−0.5<y<0$ while the $p_{\rm T}$ is varied in the range $0.4<p_{\rm T}<p_{\rm T}^{\rm max}$ GeV/$c$. The most central (0–5%) and peripheral (50–60%) events are depicted by black squares and blue triangles, respectively. Statistical and systematic uncertainties are represented by black and gray bars, respectively. UrQMD simulations for the top 0–5% and 50–60% are shown by gold and blue bands, respectively.

As in Fig. 18 but for transverse-momentum and rapidity dependence of correlation function ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV.

As in Fig. 18 but for transverse-momentum and rapidity dependence of correlation function ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV.

As in Fig. 18 but for transverse-momentum and rapidity dependence of correlation function ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV.

As in Fig. 18 but for transverse-momentum and rapidity dependence of correlation function ratios of proton multiplicity distributions for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 3 GeV.

Collision energy dependence of the cumulant ratios: $C_2/C_1=\sigma/M$, $C_3/C_2=S\sigma$, and $C_4/C_2=\kappa\sigma^2$, for protons (open squares) and net protons (red circles) from top 0–5% (top panels) and 50–60% (bottom panels) Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for protons from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions is shown as a filled square. UrQMD results with $|y|<0.5$ for protons are shown as gold bands while those for net protons are shown as green dashed lines or green bands. At 3GeV, the model results for protons (−0.5) are shown as blue crosses. UrQMD results of proton and net-proton $C_4/C_2$, see right panels, are almost totally overlapped. The open cross is the result of the model with a fixed impact parameter $b < 3$ fm. The hydrodynamic calculations, for 5% central Au+Au collisions, for protons from $|y|<0.5$ are shown as dashed red linea and the result of the 3 GeV protons from $−0.5<y<0$ is shown as an open red star.

Collision energy dependence of the cumulant ratios: $C_2/C_1=\sigma/M$, $C_3/C_2=S\sigma$, and $C_4/C_2=\kappa\sigma^2$, for protons (open squares) and net protons (red circles) from top 0–5% (top panels) and 50–60% (bottom panels) Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for protons from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions is shown as a filled square. UrQMD results with $|y|<0.5$ for protons are shown as gold bands while those for net protons are shown as green dashed lines or green bands. At 3GeV, the model results for protons (−0.5) are shown as blue crosses. UrQMD results of proton and net-proton $C_4/C_2$, see right panels, are almost totally overlapped. The open cross is the result of the model with a fixed impact parameter $b < 3$ fm. The hydrodynamic calculations, for 5% central Au+Au collisions, for protons from $|y|<0.5$ are shown as dashed red linea and the result of the 3 GeV protons from $−0.5<y<0$ is shown as an open red star.

Collision energy dependence of the cumulant ratios: $C_2/C_1=\sigma/M$, $C_3/C_2=S\sigma$, and $C_4/C_2=\kappa\sigma^2$, for protons (open squares) and net protons (red circles) from top 0–5% (top panels) and 50–60% (bottom panels) Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for protons from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions is shown as a filled square. UrQMD results with $|y|<0.5$ for protons are shown as gold bands while those for net protons are shown as green dashed lines or green bands. At 3GeV, the model results for protons (−0.5) are shown as blue crosses. UrQMD results of proton and net-proton $C_4/C_2$, see right panels, are almost totally overlapped. The open cross is the result of the model with a fixed impact parameter $b < 3$ fm. The hydrodynamic calculations, for 5% central Au+Au collisions, for protons from $|y|<0.5$ are shown as dashed red linea and the result of the 3 GeV protons from $−0.5<y<0$ is shown as an open red star.

Collision energy dependence of the cumulant ratios: $C_2/C_1=\sigma/M$, $C_3/C_2=S\sigma$, and $C_4/C_2=\kappa\sigma^2$, for protons (open squares) and net protons (red circles) from top 0–5% (top panels) and 50–60% (bottom panels) Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for protons from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions is shown as a filled square. UrQMD results with $|y|<0.5$ for protons are shown as gold bands while those for net protons are shown as green dashed lines or green bands. At 3GeV, the model results for protons (−0.5) are shown as blue crosses. UrQMD results of proton and net-proton $C_4/C_2$, see right panels, are almost totally overlapped. The open cross is the result of the model with a fixed impact parameter $b < 3$ fm. The hydrodynamic calculations, for 5% central Au+Au collisions, for protons from $|y|<0.5$ are shown as dashed red linea and the result of the 3 GeV protons from $−0.5<y<0$ is shown as an open red star.

Collision energy dependence of the cumulant ratios: $C_2/C_1=\sigma/M$, $C_3/C_2=S\sigma$, and $C_4/C_2=\kappa\sigma^2$, for protons (open squares) and net protons (red circles) from top 0–5% (top panels) and 50–60% (bottom panels) Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for protons from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions is shown as a filled square. UrQMD results with $|y|<0.5$ for protons are shown as gold bands while those for net protons are shown as green dashed lines or green bands. At 3GeV, the model results for protons (−0.5) are shown as blue crosses. UrQMD results of proton and net-proton $C_4/C_2$, see right panels, are almost totally overlapped. The open cross is the result of the model with a fixed impact parameter $b < 3$ fm. The hydrodynamic calculations, for 5% central Au+Au collisions, for protons from $|y|<0.5$ are shown as dashed red linea and the result of the 3 GeV protons from $−0.5<y<0$ is shown as an open red star.

Collision energy dependence of the cumulant ratios: $C_2/C_1=\sigma/M$, $C_3/C_2=S\sigma$, and $C_4/C_2=\kappa\sigma^2$, for protons (open squares) and net protons (red circles) from top 0–5% (top panels) and 50–60% (bottom panels) Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for protons from $\sqrt{s_{\rm NN}}$ = 3 GeV Au+Au collisions is shown as a filled square. UrQMD results with $|y|<0.5$ for protons are shown as gold bands while those for net protons are shown as green dashed lines or green bands. At 3GeV, the model results for protons (−0.5) are shown as blue crosses. UrQMD results of proton and net-proton $C_4/C_2$, see right panels, are almost totally overlapped. The open cross is the result of the model with a fixed impact parameter $b < 3$ fm. The hydrodynamic calculations, for 5% central Au+Au collisions, for protons from $|y|<0.5$ are shown as dashed red linea and the result of the 3 GeV protons from $−0.5<y<0$ is shown as an open red star.

The $p_{T}$ dependencies of $v_{1}$ within $-0.4<y<-0.1$ for $t$ in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity and $p_{T}$ dependencies of $v_{1}$ for $^{3}$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The $p_{T}$ dependencies of $v_{1}$ within $-0.1<y<0$ for $^4$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The $p_{T}$ dependencies of $v_{1}$ within $-0.4<y<-0.1$ for $^{4}$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity and $p_{T}$ dependencies of $v_{2}$ for $p$ in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity and $p_{T}$ dependencies of $v_{2}$ for $d$ in 10-40% mid-central Au+Au collisions at 3 GeV.

The $p_{T}$ dependencies of $v_{2}$ within $-0.1<y<0$ for $t$ in 10-40% mid-central Au+Au collisions at 3 GeV.

The $p_{T}$ dependencies of $v_{2}$ within $-0.4<y<-0.1$ for $t$ in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity and $p_{T}$ dependencies of $v_{2}$ for $^{3}$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The $p_{T}$ dependencies of $v_{2}$ within $-0.1<y<0$ for $^4$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The $p_{T}$ dependencies of $v_{2}$ within $-0.4<y<-0.1$ for $^{4}$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity dependencies of $v_{1}$ for $p$, $d$, and $^{3}$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity dependencies of $v_{1}$ for $t$ and $^{4}$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity dependencies of $v_{1}$ from JAM plus coalescence calculations in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity dependencies of $v_{2}$ for $p$, $d$, and $^{3}$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity dependencies of $v_{2}$ for $t$ and $^{4}$He in 10-40% mid-central Au+Au collisions at 3 GeV.

The rapidity dependencies of $v_{2}$ from JAM plus coalescence calculations in 10-40% mid-central Au+Au collisions at 3 GeV.

Light nucleus scaled $v_{1}$ slopes as a function os collision energy in 10-40 mid-cantral Au+Au collisions.

Light nucleus scaled $v_{1}$ slopes from JAM plus coalescence in 10-40 mid-cantral Au+Au collisions at 3 GeV.

Centrality dependence of the proton cumulant ratios for Au+Au collisions at $\sqrt{s_{NN}}$ = 3.0 GeV. Protons are from $-0.5 < y < 0$ and $0.4 < p_{T} < 2.0$ GeV/$c$. Systematic uncertainties are represented by gray bars. Statistical uncertainties are smaller than marker size. CBWC is applied to all cumulant ratios. While open squares represent the data without the VFC correction, blue triangles and red circles are the results with VFC using the $\langle N_{\rm{part}} \rangle$ distributions from the UrQMD and Glauber models, respectively. UrQMD model results are represented as gold dashed line.

Centrality dependence of the proton cumulant ratios for Au+Au collisions at $\sqrt{s_{NN}}$ = 3.0 GeV. Protons are from $-0.5 < y < 0$ and $0.4 < p_{T} < 2.0$ GeV/$c$. Systematic uncertainties are represented by gray bars. Statistical uncertainties are smaller than marker size. CBWC is applied to all cumulant ratios. While open squares represent the data without the VFC correction, blue triangles and red circles are the results with VFC using the $\langle N_{\rm{part}} \rangle$ distributions from the UrQMD and Glauber models, respectively. UrQMD model results are represented as gold dashed line.

Rapidity and transverse momentum dependence of the proton cumulant ratios for 0–5% central collisions. Black-squares, red-dots and blue-triangles stand for data without and with the VFC using Glauber and UrQMD, respectively.

Rapidity and transverse momentum dependence of the proton cumulant ratios for 0–5% central collisions. Black-squares, red-dots and blue-triangles stand for data without and with the VFC using Glauber and UrQMD, respectively.

Rapidity and transverse momentum dependence of the proton cumulant ratios for 0–5% central collisions. Black-squares, red-dots and blue-triangles stand for data without and with the VFC using Glauber and UrQMD, respectively.

Rapidity and transverse momentum dependence of the proton cumulant ratios for 0–5% central collisions. Black-squares, red-dots and blue-triangles stand for data without and with the VFC using Glauber and UrQMD, respectively.

Collision energy dependence of the ratios of cumulants, $C_4/C_2$, for proton (squares) and net-proton (red circles) from top 0-5% Au+Au collisions at RHIC. The points for protons are shifted horizontally for clarity. The new result for proton from $\sqrt{s_{NN}}$ = 3.0 GeV collisions is shown as a filled square. HADES data of $\sqrt{s_{NN}}$ = 2.4 GeV 0-10% collisions is also shown. The vertical black and gray bars are the statistical and systematic uncertainties, respectively. In addition, results from the HRG model, based on both Canonical Ensemble (CE) and Grand-Canonical Ensemble (GCE), and transport model UrQMD are presented.

Rapidity($y$) dependence of $v_1$ (top panels) and $v_2$ (bottom panels) of proton and $\Lambda$ baryons (left panels), pions (middle panels) and kaons (right panels) in 10-40% centrality for the $\sqrt{s_{NN}}$ = 3GeV Au+Au collisions. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points. The UrQMD and JAM results are shown as bands:golden, red and blue bands stand for JAM mean-field, UrQMD mean-field and UrQMD cascade mode, respectively. The value of the incompressibility $\kappa$ = 380 MeV is used in the mean-field option. More detailed model descriptions and data comparisons can be found in Supplemental Material.

Rapidity($y$) dependence of $v_1$ (top panels) and $v_2$ (bottom panels) of proton and $\Lambda$ baryons (left panels), pions (middle panels) and kaons (right panels) in 10-40% centrality for the $\sqrt{s_{NN}}$ = 3GeV Au+Au collisions. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points. The UrQMD and JAM results are shown as bands:golden, red and blue bands stand for JAM mean-field, UrQMD mean-field and UrQMD cascade mode, respectively. The value of the incompressibility $\kappa$ = 380 MeV is used in the mean-field option. More detailed model descriptions and data comparisons can be found in Supplemental Material.

Rapidity($y$) dependence of $v_1$ (top panels) and $v_2$ (bottom panels) of proton and $\Lambda$ baryons (left panels), pions (middle panels) and kaons (right panels) in 10-40% centrality for the $\sqrt{s_{NN}}$ = 3GeV Au+Au collisions. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points. The UrQMD and JAM results are shown as bands:golden, red and blue bands stand for JAM mean-field, UrQMD mean-field and UrQMD cascade mode, respectively. The value of the incompressibility $\kappa$ = 380 MeV is used in the mean-field option. More detailed model descriptions and data comparisons can be found in Supplemental Material.

$v_2$ scaled by the number of constituent quarks, $v_2/n_q$ , as a function of scaled transverse kinetic energy ($(m_T − m_0)/n_q$) for pions, kaons and protons from Au+Au collisions in 10-40% centrality at $\sqrt{s_{NN}}$ = 3, 27, and 54.4 GeV for positive charged particles (left panel) and negative charged particles (right panel). Colored dashed lines represent the scaling fit to data in 7.7, 14.5, 27, 54.4, and 200 GeV Au+Au collisions from STAR experiment at RHIC [43–45]. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points.

$v_2$ scaled by the number of constituent quarks, $v_2/n_q$ , as a function of scaled transverse kinetic energy ($(m_T − m_0)/n_q$) for pions, kaons and protons from Au+Au collisions in 10-40% centrality at $\sqrt{s_{NN}}$ = 3, 27, and 54.4 GeV for positive charged particles (left panel) and negative charged particles (right panel). Colored dashed lines represent the scaling fit to data in 7.7, 14.5, 27, 54.4, and 200 GeV Au+Au collisions from STAR experiment at RHIC [43–45]. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points.

$v_2$ scaled by the number of constituent quarks, $v_2/n_q$ , as a function of scaled transverse kinetic energy ($(m_T − m_0)/n_q$) for pions, kaons and protons from Au+Au collisions in 10-40% centrality at $\sqrt{s_{NN}}$ = 3, 27, and 54.4 GeV for positive charged particles (left panel) and negative charged particles (right panel). Colored dashed lines represent the scaling fit to data in 7.7, 14.5, 27, 54.4, and 200 GeV Au+Au collisions from STAR experiment at RHIC [43–45]. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points.

$v_2$ scaled by the number of constituent quarks, $v_2/n_q$ , as a function of scaled transverse kinetic energy ($(m_T − m_0)/n_q$) for pions, kaons and protons from Au+Au collisions in 10-40% centrality at $\sqrt{s_{NN}}$ = 3, 27, and 54.4 GeV for positive charged particles (left panel) and negative charged particles (right panel). Colored dashed lines represent the scaling fit to data in 7.7, 14.5, 27, 54.4, and 200 GeV Au+Au collisions from STAR experiment at RHIC [43–45]. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points.

$v_2$ scaled by the number of constituent quarks, $v_2/n_q$ , as a function of scaled transverse kinetic energy ($(m_T − m_0)/n_q$) for pions, kaons and protons from Au+Au collisions in 10-40% centrality at $\sqrt{s_{NN}}$ = 3, 27, and 54.4 GeV for positive charged particles (left panel) and negative charged particles (right panel). Colored dashed lines represent the scaling fit to data in 7.7, 14.5, 27, 54.4, and 200 GeV Au+Au collisions from STAR experiment at RHIC [43–45]. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points.

$v_2$ scaled by the number of constituent quarks, $v_2/n_q$ , as a function of scaled transverse kinetic energy ($(m_T − m_0)/n_q$) for pions, kaons and protons from Au+Au collisions in 10-40% centrality at $\sqrt{s_{NN}}$ = 3, 27, and 54.4 GeV for positive charged particles (left panel) and negative charged particles (right panel). Colored dashed lines represent the scaling fit to data in 7.7, 14.5, 27, 54.4, and 200 GeV Au+Au collisions from STAR experiment at RHIC [43–45]. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points.

$v_2$ scaled by the number of constituent quarks, $v_2/n_q$ , as a function of scaled transverse kinetic energy ($(m_T − m_0)/n_q$) for pions, kaons and protons from Au+Au collisions in 10-40% centrality at $\sqrt{s_{NN}}$ = 3, 27, and 54.4 GeV for positive charged particles (left panel) and negative charged particles (right panel). Colored dashed lines represent the scaling fit to data in 7.7, 14.5, 27, 54.4, and 200 GeV Au+Au collisions from STAR experiment at RHIC [43–45]. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points.

$v_2$ scaled by the number of constituent quarks, $v_2/n_q$ , as a function of scaled transverse kinetic energy ($(m_T − m_0)/n_q$) for pions, kaons and protons from Au+Au collisions in 10-40% centrality at $\sqrt{s_{NN}}$ = 3, 27, and 54.4 GeV for positive charged particles (left panel) and negative charged particles (right panel). Colored dashed lines represent the scaling fit to data in 7.7, 14.5, 27, 54.4, and 200 GeV Au+Au collisions from STAR experiment at RHIC [43–45]. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points.

$v_2$ scaled by the number of constituent quarks, $v_2/n_q$ , as a function of scaled transverse kinetic energy ($(m_T − m_0)/n_q$) for pions, kaons and protons from Au+Au collisions in 10-40% centrality at $\sqrt{s_{NN}}$ = 3, 27, and 54.4 GeV for positive charged particles (left panel) and negative charged particles (right panel). Colored dashed lines represent the scaling fit to data in 7.7, 14.5, 27, 54.4, and 200 GeV Au+Au collisions from STAR experiment at RHIC [43–45]. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points.

$v_2$ scaled by the number of constituent quarks, $v_2/n_q$ , as a function of scaled transverse kinetic energy ($(m_T − m_0)/n_q$) for pions, kaons and protons from Au+Au collisions in 10-40% centrality at $\sqrt{s_{NN}}$ = 3, 27, and 54.4 GeV for positive charged particles (left panel) and negative charged particles (right panel). Colored dashed lines represent the scaling fit to data in 7.7, 14.5, 27, 54.4, and 200 GeV Au+Au collisions from STAR experiment at RHIC [43–45]. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points.

$v_2$ scaled by the number of constituent quarks, $v_2/n_q$ , as a function of scaled transverse kinetic energy ($(m_T − m_0)/n_q$) for pions, kaons and protons from Au+Au collisions in 10-40% centrality at $\sqrt{s_{NN}}$ = 3, 27, and 54.4 GeV for positive charged particles (left panel) and negative charged particles (right panel). Colored dashed lines represent the scaling fit to data in 7.7, 14.5, 27, 54.4, and 200 GeV Au+Au collisions from STAR experiment at RHIC [43–45]. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points.

$v_2$ scaled by the number of constituent quarks, $v_2/n_q$ , as a function of scaled transverse kinetic energy ($(m_T − m_0)/n_q$) for pions, kaons and protons from Au+Au collisions in 10-40% centrality at $\sqrt{s_{NN}}$ = 3, 27, and 54.4 GeV for positive charged particles (left panel) and negative charged particles (right panel). Colored dashed lines represent the scaling fit to data in 7.7, 14.5, 27, 54.4, and 200 GeV Au+Au collisions from STAR experiment at RHIC [43–45]. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points.

$v_2$ scaled by the number of constituent quarks, $v_2/n_q$ , as a function of scaled transverse kinetic energy ($(m_T − m_0)/n_q$) for pions, kaons and protons from Au+Au collisions in 10-40% centrality at $\sqrt{s_{NN}}$ = 3, 27, and 54.4 GeV for positive charged particles (left panel) and negative charged particles (right panel). Colored dashed lines represent the scaling fit to data in 7.7, 14.5, 27, 54.4, and 200 GeV Au+Au collisions from STAR experiment at RHIC [43–45]. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points.

$v_2$ scaled by the number of constituent quarks, $v_2/n_q$ , as a function of scaled transverse kinetic energy ($(m_T − m_0)/n_q$) for pions, kaons and protons from Au+Au collisions in 10-40% centrality at $\sqrt{s_{NN}}$ = 3, 27, and 54.4 GeV for positive charged particles (left panel) and negative charged particles (right panel). Colored dashed lines represent the scaling fit to data in 7.7, 14.5, 27, 54.4, and 200 GeV Au+Au collisions from STAR experiment at RHIC [43–45]. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points.

$v_2$ scaled by the number of constituent quarks, $v_2/n_q$ , as a function of scaled transverse kinetic energy ($(m_T − m_0)/n_q$) for pions, kaons and protons from Au+Au collisions in 10-40% centrality at $\sqrt{s_{NN}}$ = 3, 27, and 54.4 GeV for positive charged particles (left panel) and negative charged particles (right panel). Colored dashed lines represent the scaling fit to data in 7.7, 14.5, 27, 54.4, and 200 GeV Au+Au collisions from STAR experiment at RHIC [43–45]. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points.

$v_2$ scaled by the number of constituent quarks, $v_2/n_q$ , as a function of scaled transverse kinetic energy ($(m_T − m_0)/n_q$) for pions, kaons and protons from Au+Au collisions in 10-40% centrality at $\sqrt{s_{NN}}$ = 3, 27, and 54.4 GeV for positive charged particles (left panel) and negative charged particles (right panel). Colored dashed lines represent the scaling fit to data in 7.7, 14.5, 27, 54.4, and 200 GeV Au+Au collisions from STAR experiment at RHIC [43–45]. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points.

$v_2$ scaled by the number of constituent quarks, $v_2/n_q$ , as a function of scaled transverse kinetic energy ($(m_T − m_0)/n_q$) for pions, kaons and protons from Au+Au collisions in 10-40% centrality at $\sqrt{s_{NN}}$ = 3, 27, and 54.4 GeV for positive charged particles (left panel) and negative charged particles (right panel). Colored dashed lines represent the scaling fit to data in 7.7, 14.5, 27, 54.4, and 200 GeV Au+Au collisions from STAR experiment at RHIC [43–45]. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points.

Collision energy dependence of (top panel) directed flow slope $dv_1/dy|_{y=0}$ for p, $\Lambda, \pi$(combined from $\pi^{\pm}$), K(combined from $K^{\pm}$ and $K_S^0$), $\phi$ and $\Xi^−$, and (bottom panel) elliptic flow $v_2$ for p, $\pi$(combined from $\pi^{\pm}$) in heavy- ion collisions. Collision centrality for all data from RHIC is 10-40%, except for 4.5 GeV where 10-30% is for $dv_1/dy|_{y=0}$ and 0-30% is for $v_2$. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points. The JAM and UrQMD results are shown as colored bands:golden, red and blue bands stand for JAM mean-field, UrQMD mean-field and UrQMD cascade mode, respectively. For clarity the x-axis value of the data points have been shifted.

Collision energy dependence of (top panel) directed flow slope $dv_1/dy|_{y=0}$ for p, $\Lambda, \pi$(combined from $\pi^{\pm}$), K(combined from $K^{\pm}$ and $K_S^0$), $\phi$ and $\Xi^−$, and (bottom panel) elliptic flow $v_2$ for p, $\pi$(combined from $\pi^{\pm}$) in heavy- ion collisions. Collision centrality for all data from RHIC is 10-40%, except for 4.5 GeV where 10-30% is for $dv_1/dy|_{y=0}$ and 0-30% is for $v_2$. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points. The JAM and UrQMD results are shown as colored bands:golden, red and blue bands stand for JAM mean-field, UrQMD mean-field and UrQMD cascade mode, respectively. For clarity the x-axis value of the data points have been shifted.

Collision energy dependence of (top panel) directed flow slope $dv_1/dy|_{y=0}$ for p, $\Lambda, \pi$(combined from $\pi^{\pm}$), K(combined from $K^{\pm}$ and $K_S^0$), $\phi$ and $\Xi^−$, and (bottom panel) elliptic flow $v_2$ for p, $\pi$(combined from $\pi^{\pm}$) in heavy- ion collisions. Collision centrality for all data from RHIC is 10-40%, except for 4.5 GeV where 10-30% is for $dv_1/dy|_{y=0}$ and 0-30% is for $v_2$. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points. The JAM and UrQMD results are shown as colored bands:golden, red and blue bands stand for JAM mean-field, UrQMD mean-field and UrQMD cascade mode, respectively. For clarity the x-axis value of the data points have been shifted.

Collision energy dependence of (top panel) directed flow slope $dv_1/dy|_{y=0}$ for p, $\Lambda, \pi$(combined from $\pi^{\pm}$), K(combined from $K^{\pm}$ and $K_S^0$), $\phi$ and $\Xi^−$, and (bottom panel) elliptic flow $v_2$ for p, $\pi$(combined from $\pi^{\pm}$) in heavy- ion collisions. Collision centrality for all data from RHIC is 10-40%, except for 4.5 GeV where 10-30% is for $dv_1/dy|_{y=0}$ and 0-30% is for $v_2$. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points. The JAM and UrQMD results are shown as colored bands:golden, red and blue bands stand for JAM mean-field, UrQMD mean-field and UrQMD cascade mode, respectively. For clarity the x-axis value of the data points have been shifted.

Collision energy dependence of (top panel) directed flow slope $dv_1/dy|_{y=0}$ for p, $\Lambda, \pi$(combined from $\pi^{\pm}$), K(combined from $K^{\pm}$ and $K_S^0$), $\phi$ and $\Xi^−$, and (bottom panel) elliptic flow $v_2$ for p, $\pi$(combined from $\pi^{\pm}$) in heavy- ion collisions. Collision centrality for all data from RHIC is 10-40%, except for 4.5 GeV where 10-30% is for $dv_1/dy|_{y=0}$ and 0-30% is for $v_2$. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points. The JAM and UrQMD results are shown as colored bands:golden, red and blue bands stand for JAM mean-field, UrQMD mean-field and UrQMD cascade mode, respectively. For clarity the x-axis value of the data points have been shifted.

Collision energy dependence of (top panel) directed flow slope $dv_1/dy|_{y=0}$ for p, $\Lambda, \pi$(combined from $\pi^{\pm}$), K(combined from $K^{\pm}$ and $K_S^0$), $\phi$ and $\Xi^−$, and (bottom panel) elliptic flow $v_2$ for p, $\pi$(combined from $\pi^{\pm}$) in heavy- ion collisions. Collision centrality for all data from RHIC is 10-40%, except for 4.5 GeV where 10-30% is for $dv_1/dy|_{y=0}$ and 0-30% is for $v_2$. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points. The JAM and UrQMD results are shown as colored bands:golden, red and blue bands stand for JAM mean-field, UrQMD mean-field and UrQMD cascade mode, respectively. For clarity the x-axis value of the data points have been shifted.

Collision energy dependence of (top panel) directed flow slope $dv_1/dy|_{y=0}$ for p, $\Lambda, \pi$(combined from $\pi^{\pm}$), K(combined from $K^{\pm}$ and $K_S^0$), $\phi$ and $\Xi^−$, and (bottom panel) elliptic flow $v_2$ for p, $\pi$(combined from $\pi^{\pm}$) in heavy- ion collisions. Collision centrality for all data from RHIC is 10-40%, except for 4.5 GeV where 10-30% is for $dv_1/dy|_{y=0}$ and 0-30% is for $v_2$. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points. The JAM and UrQMD results are shown as colored bands:golden, red and blue bands stand for JAM mean-field, UrQMD mean-field and UrQMD cascade mode, respectively. For clarity the x-axis value of the data points have been shifted.

Collision energy dependence of (top panel) directed flow slope $dv_1/dy|_{y=0}$ for p, $\Lambda, \pi$(combined from $\pi^{\pm}$), K(combined from $K^{\pm}$ and $K_S^0$), $\phi$ and $\Xi^−$, and (bottom panel) elliptic flow $v_2$ for p, $\pi$(combined from $\pi^{\pm}$) in heavy- ion collisions. Collision centrality for all data from RHIC is 10-40%, except for 4.5 GeV where 10-30% is for $dv_1/dy|_{y=0}$ and 0-30% is for $v_2$. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points. The JAM and UrQMD results are shown as colored bands:golden, red and blue bands stand for JAM mean-field, UrQMD mean-field and UrQMD cascade mode, respectively. For clarity the x-axis value of the data points have been shifted.

Collision energy dependence of (top panel) directed flow slope $dv_1/dy|_{y=0}$ for p, $\Lambda, \pi$(combined from $\pi^{\pm}$), K(combined from $K^{\pm}$ and $K_S^0$), $\phi$ and $\Xi^−$, and (bottom panel) elliptic flow $v_2$ for p, $\pi$(combined from $\pi^{\pm}$) in heavy- ion collisions. Collision centrality for all data from RHIC is 10-40%, except for 4.5 GeV where 10-30% is for $dv_1/dy|_{y=0}$ and 0-30% is for $v_2$. Statistical and systematic uncertainties are shown as bars and gray bands, respectively. Some uncertainties are smaller than the data points. The JAM and UrQMD results are shown as colored bands:golden, red and blue bands stand for JAM mean-field, UrQMD mean-field and UrQMD cascade mode, respectively. For clarity the x-axis value of the data points have been shifted.

$K^-$ (a), invariant yields as a function of $m_T-m_0$ for various rapidity regions in 10--40\% central Au+Au collisions at ${\sqrt{s_{\mathrm{NN}}} = \mathrm{3\,GeV}}$. Statistics and systematic uncertainties are added quadratic here for plotting. Solid and dashed black lines depict $m_T$ exponential function fits to the measured data points with arbitrate scaling factors in each rapidity windows.

$\phi$ meson (b) invariant yields as a function of $m_T-m_0$ for various rapidity regions in 10--40\% central Au+Au collisions at ${\sqrt{s_{\mathrm{NN}}} = \mathrm{3\,GeV}}$. Statistics and systematic uncertainties are added quadratic here for plotting. Solid and dashed black lines depict $m_T$ exponential function fits to the measured data points with arbitrate scaling factors in each rapidity windows.

$\Xi^-$ (c) invariant yields as a function of $m_T-m_0$ for various rapidity regions in 10--40\% central Au+Au collisions at ${\sqrt{s_{\mathrm{NN}}} = \mathrm{3\,GeV}}$. Statistics and systematic uncertainties are added quadratic here for plotting. Solid and dashed black lines depict $m_T$ exponential function fits to the measured data points with arbitrate scaling factors in each rapidity windows.

$K^-$ (a), invariant yields as a function of $m_T-m_0$ for various rapidity regions in 40--60\% central Au+Au collisions at ${\sqrt{s_{\mathrm{NN}}} = \mathrm{3\,GeV}}$. Statistics and systematic uncertainties are added quadratic here for plotting. Solid and dashed black lines depict $m_T$ exponential function fits to the measured data points with arbitrate scaling factors in each rapidity windows.

$\phi$ meson (b) invariant yields as a function of $m_T-m_0$ for various rapidity regions in 40--60\% central Au+Au collisions at ${\sqrt{s_{\mathrm{NN}}} = \mathrm{3\,GeV}}$. Statistics and systematic uncertainties are added quadratic here for plotting. Solid and dashed black lines depict $m_T$ exponential function fits to the measured data points with arbitrate scaling factors in each rapidity windows.

Rapidity density distributions of $K^-$ (squares), $p_T$-integrated yields $dN/dy$ in 0--10\% (a), 10--40\% (b) and 40--60\% central (c) Au+Au collisions at ${\sqrt{s_{\mathrm{NN}}} = \mathrm{3\,GeV}}$. %The full symbols show the measured data, while the open ones are data reflected with respect to $y=0$ in the center-of-mass frame. Solid lines depict Gaussian function fits to the data points.

Rapidity density distributions of $\phi$ meson (circles) $p_T$-integrated yields $dN/dy$ in 0--10\% (a), 10--40\% (b) and 40--60\% central (c) Au+Au collisions at ${\sqrt{s_{\mathrm{NN}}} = \mathrm{3\,GeV}}$. %The full symbols show the measured data, while the open ones are data reflected with respect to $y=0$ in the center-of-mass frame. Solid lines depict Gaussian function fits to the data points.

Rapidity density distributions of $\Xi^-$ (diamonds) $p_T$-integrated yields $dN/dy$ in 0--10\% (a), 10--40\% (b) and 40--60\% central (c) Au+Au collisions at ${\sqrt{s_{\mathrm{NN}}} = \mathrm{3\,GeV}}$. %The full symbols show the measured data, while the open ones are data reflected with respect to $y=0$ in the center-of-mass frame. Solid lines depict Gaussian function fits to the data points.

$\phi/K^-$ (a) and $\phi/\Xi^-$ (b) ratio as a function of collision energy, $\sqrt{s_{\mathrm{NN}}}$. The solid black circles show the measurements presented here in 0-10\% centrality bin, while empty markers in black or grey are used for data from various other energies and/or collision systems. The grey solid line represents a THERMUS calculation based on the Grand Canonical Ensemble (GCE) while the dotted lines depict calculations based on the Canonical Ensemble (CE) with different parameters of strangeness correlation radius ($r_c$). The green dashed line, green shaded band and the solid red line show transport model calculations from the public versions $\mathrm{UrQMD}^{1}$, modified $\mathrm{UrQMD}^{2}$ and SMASH, respectively.

The centrality dependence of Global $\Lambda$-hyperon Polarization at $\sqrt{s_{\rm NN}}=3$ GeV.

The $p_{\rm T}$ dependence of Global $\Lambda$-hyperon Polarization at $\sqrt{s_{\rm NN}}=3$ GeV.

The rapidity dependence of Global $\Lambda$-hyperon Polarization at $\sqrt{s_{\rm NN}}=3$ GeV.

Rapidity dependence of directed flow, v1(y), for positive pions with transverse momentum pT > 0.2 GeV/c and total momentum magnitude |p| < 1.6 GeV/c from events within 10-30% centrality. Here, the BBC-based Event Plane method is used. Plotted error bars are statistical only, and systematic errors are of comparable size.

The rapidity dependence of the directed flow for the Lambda using the TPC event plane for 10-30% centrality. Plotted error bars are statistical only, while systematic errors are +/- 0.007.

The rapidity dependence of the directed flow for the K0s using the TPC event plane for 10-30% centrality. Plotted error bars are statistical only, while systematic errors are +/- 0.017.

Beam energy dependence of the directed flow slope dv1=dy at midrapidity for baryons and mesons measured by STAR.

v2 scaled by the number of constituent quarks (nq) for charged pions and protons for 0-30% central collisions. The values of v2 scaled with nq for pions and protons are consistent with each other within errors. For comparison, points from E895 are also shown.

The excitation function v2 for all charged particles or separately for protons and pions, measured by several experiments. The STAR FXT points for protons and for pions are near the region where a change in slope occurs.

Excitation function of Rout, Rside, and Rlong.

Transverse mass dependence of Rout, Rside, and Rlong for three experiments: E895, STAR, and E866. The corresponding center-of-mass collision energies are 4.3 GeV, 4.5 GeV, and 4.9 GeV, respectively. Pairs for the STAR points are created from negative pion tracks in the momentum range 0.15 < pT < 0.8 GeV/c from events in the 0-15% centrality range.

The centrality dependence of Rout, Rside, and Rlong. Errors are statistical only. Here positive and negative pion pairs in the momentum range 0.15 < pT < 0.8 GeV/c are used.

The $y_{cm}$ dependences of $v_{1}$ for protons, deuterons and tritons averaged over the $p_{t}$ interval $1.0 < p_{t} < 1.5$ GeV$/c$ in semi-central ($20 - 30$ %) Au+Au collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.

The $y_{cm}$ dependences of $v_{3}$ for protons, deuterons and tritons averaged over the $p_{t}$ interval $1.0 < p_{t} < 1.5$ GeV$/c$ in semi-central ($20 - 30$ %) Au+Au collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.

The $y_{cm}$ dependences of $v_{5}$ for protons, deuterons and tritons averaged over the $p_{t}$ interval $1.0 < p_{t} < 1.5$ GeV$/c$ in semi-central ($20 - 30$ %) Au+Au collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.

The $p_{t}$ dependence of $v_{2}$ for protons, deuterons and tritons in the rapidity interval $|y_{cm}| < 0.05$ in semi-central ($20 - 30$ %) $\mathrm{Au}+\mathrm{Au}$ collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.

The $p_{t}$ dependence of $v_{4}$ for protons, deuterons and tritons in the rapidity interval $|y_{cm}| < 0.05$ in semi-central ($20 - 30$ %) $\mathrm{Au}+\mathrm{Au}$ collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.

The $p_{t}$ dependence of $v_{6}$ for protons, deuterons and tritons in the rapidity interval $|y_{cm}| < 0.05$ in semi-central ($20 - 30$ %) $\mathrm{Au}+\mathrm{Au}$ collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.

The $y_{cm}$ dependences of $v_{2}$ for protons, deuterons and tritons averaged over the $p_{t}$ interval $1.0 < p_{t} < 1.5$ GeV$/c$ in semi-central ($20 - 30$ %) Au+Au collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.

The $y_{cm}$ dependences of $v_{4}$ for protons, deuterons and tritons averaged over the $p_{t}$ interval $1.0 < p_{t} < 1.5$ GeV$/c$ in semi-central ($20 - 30$ %) Au+Au collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.

The $y_{cm}$ dependences of $v_{6}$ for protons, deuterons and tritons averaged over the $p_{t}$ interval $1.0 < p_{t} < 1.5$ GeV$/c$ in semi-central ($20 - 30$ %) Au+Au collisions at $\sqrt{{s}_{NN}}=2.4$ GeV.

The ratio $v_{4}/v_{2}^{2}$ for protons in $\mathrm{Au}+\mathrm{Au}$ collisions at $\sqrt{{s}_{NN}}=2.4$ GeV as a function of $p_{t}$ at mid-rapidity ($|y_{cm}| < 0.05$) for three different centralities.

The ratio $v_{4}/v_{2}^{2}$ for deuterons in $\mathrm{Au}+\mathrm{Au}$ collisions at $\sqrt{{s}_{NN}}=2.4$ GeV as a function of $p_{t}$ at mid-rapidity ($|y_{cm}| < 0.05$) for three different centralities.

The ratio $v_{4}/v_{2}^{2}$ for tritons in $\mathrm{Au}+\mathrm{Au}$ collisions at $\sqrt{{s}_{NN}}=2.4$ GeV as a function of $p_{t}$ at mid-rapidity ($|y_{cm}| < 0.05$) for three different centralities.

The ratio $v_{4}/v_{2}^{2}$ for tritons in Au+Au collisions $\sqrt{{s}_{NN}}=2.4$ GeV averaged over the $p_{t}$ interval $1.0 < p_{t} < 1.5$ GeV$/c$ for three different centralities.

The ratio $v_{4}/v_{2}^{2}$ for tritons in Au+Au collisions $\sqrt{{s}_{NN}}=2.4$ GeV averaged over the $p_{t}$ interval $1.0 < p_{t} < 1.5$ GeV$/c$ for three different centralities.

The ratio $v_{4}/v_{2}^{2}$ for tritons in Au+Au collisions $\sqrt{{s}_{NN}}=2.4$ GeV averaged over the $p_{t}$ interval $1.0 < p_{t} < 1.5$ GeV$/c$ for three different centralities.

Rapidity distribution for negatively charged pions for four (10% wide) centrality classes.

Rapidity distribution for positively charged pions for four (10% wide) centrality classes.

Pion multiplicity per participating nuclean as a function of centrality given by $<A_{part}>$.

Pion multiplicity per participating nuclean as a function of centrality given by $<A_{part}>$.Original data point for C+C and Ar+KCl has been scaled to be at the beam energi of 1.23AGeV

Center-of-mass polar angle distribution of negatively and positively charged pions. Shown are pions with center-of-mass momenta of 120-800MeV/c

Dependence of the anisotropy parameter $A_{2}$ on the pion momentum in the center-of-mass system for negatively and positively charged pions for centrality classes of 0-10$\%$ and 30-40$\%$.

Mid-rapidity and forward rapidity transverse momentum distribution for charged pion fo rthe 10$\%$most central events.

Dependence of the anisotropy parameter $A_{2}$ on the pion momentum in the center-of-mass system for negatively and positively charged pions for centrality classes of 0-10$\%$ and 30-40$\%$.

<K+>/<PI>+.

Inverse slope parameter T.

Inverse slope parameter T.

Inverse slope parameter T.

Inverse slope parameter T.

K-/PI- at y=0.

K-/PI- at y=0.

<K->/<PI->.

<K->/<PI->.

Mixed higher-order flow harmonic $v_6\{\Psi_{33}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.

Mixed higher-order flow harmonic $v_7\{\Psi_{223}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.

Mixed higher-order flow harmonic $v_4\{\Psi_{22}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

Mixed higher-order flow harmonic $v_5\{\Psi_{23}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

Mixed higher-order flow harmonic $v_6\{\Psi_{222}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

Mixed higher-order flow harmonic $v_6\{\Psi_{33}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

Mixed higher-order flow harmonic $v_7\{\Psi_{223}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

Mixed higher-order flow harmonic $v_4\{\Psi_{22}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.

Mixed higher-order flow harmonic $v_5\{\Psi_{23}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.

Mixed higher-order flow harmonic $v_6\{\Psi_{222}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.

Mixed higher-order flow harmonic $v_6\{\Psi_{33}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.

Mixed higher-order flow harmonic $v_7\{\Psi_{223}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.

Mixed higher-order flow harmonic $v_4\{\Psi_{22}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.

Mixed higher-order flow harmonic $v_5\{\Psi_{23}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.

Mixed higher-order flow harmonic $v_6\{\Psi_{222}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.

Mixed higher-order flow harmonic $v_6\{\Psi_{33}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.

Mixed higher-order flow harmonic $v_7\{\Psi_{223}\}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.

The overall flow harmonic $v_4\{\Psi_{4}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.

The overall flow harmonic $v_5\{\Psi_{5}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.

The overall flow harmonic $v_6\{\Psi_{6}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.

The overall flow harmonic $v_6\{\Psi_{6}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.

The overall flow harmonic $v_7\{\Psi_{7}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.

The overall flow harmonic $v_4\{\Psi_{4}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

The overall flow harmonic $v_5\{\Psi_{5}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

The overall flow harmonic $v_6\{\Psi_{6}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

The overall flow harmonic $v_6\{\Psi_{6}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

The overall flow harmonic $v_7\{\Psi_{7}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

Mixed higher-order flow harmonic $v_4\{\Psi_{22}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.

Mixed higher-order flow harmonic $v_5\{\Psi_{23}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.

Mixed higher-order flow harmonic $v_6\{\Psi_{222}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.

Mixed higher-order flow harmonic $v_6\{\Psi_{33}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.

Mixed higher-order flow harmonic $v_7\{\Psi_{223}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.

Mixed higher-order flow harmonic $v_4\{\Psi_{22}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

Mixed higher-order flow harmonic $v_5\{\Psi_{23}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

Mixed higher-order flow harmonic $v_6\{\Psi_{222}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

Mixed higher-order flow harmonic $v_6\{\Psi_{33}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

Mixed higher-order flow harmonic $v_7\{\Psi_{223}\}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.

Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.

Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.

Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.

Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 5.02 TeV as a function of PT in the 0-20% centrality range.

Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 5.02 TeV as a function of PT in the 20-60% centrality range.

Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.

Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.

Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.

Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.

Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 2.76 TeV as a function of PT in the 0-20% centrality range.

Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.

Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.

Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.

Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.

Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 2.76 TeV as a function of PT in the 20-60% centrality range.

Mixed higher-order flow harmonic $v_4\{\Psi_{22}\}$ from the scalar-product method at 5.02 TeV as a function of centrality.

Mixed higher-order flow harmonic $v_5\{\Psi_{23}\}$ from the scalar-product method at 5.02 TeV as a function of centrality.

Mixed higher-order flow harmonic $v_6\{\Psi_{222}\}$ from the scalar-product method at 5.02 TeV as a function of centrality.

Mixed higher-order flow harmonic $v_6\{\Psi_{33}\}$ from the scalar-product method at 5.02 TeV as a function of centrality.

Mixed higher-order flow harmonic $v_7\{\Psi_{223}\}$ from the scalar-product method at 5.02 TeV as a function of centrality.

Mixed higher-order flow harmonic $v_4\{\Psi_{22}\}$ from the scalar-product method at 2.76 TeV as a function of centrality.

Mixed higher-order flow harmonic $v_5\{\Psi_{23}\}$ from the scalar-product method at 2.76 TeV as a function of centrality.

Mixed higher-order flow harmonic $v_6\{\Psi_{222}\}$ from the scalar-product method at 2.76 TeV as a function of centrality.

Mixed higher-order flow harmonic $v_6\{\Psi_{33}\}$ from the scalar-product method at 2.76 TeV as a function of centrality.

Mixed higher-order flow harmonic $v_7\{\Psi_{223}\}$ from the scalar-product method at 2.76 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 5.02 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 5.02 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 5.02 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 5.02 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 5.02 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 2.76 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 2.76 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 2.76 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 2.76 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 2.76 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 5.02 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 5.02 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 5.02 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 5.02 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 5.02 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{422}$ from the scalar-product method at 2.76 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{523}$ from the scalar-product method at 2.76 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{6222}$ from the scalar-product method at 2.76 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{633}$ from the scalar-product method at 2.76 TeV as a function of centrality.

Nonlinear response coefficient $\chi_{7223}$ from the scalar-product method at 2.76 TeV as a function of centrality.

Acceptance corrected dilepton excess yield.

Systematics of the $e^{+} e^{-}$ pair yield in A+A collisions attributed to the excess radiation.

Systematics of the $e^{+} e^{-}$ pair yield in A+A collisions attributed to the excess radiation.

Systematics of the $e^{+} e^{-}$ pair yield in A+A collisions attributed to the excess radiation.

Systematics of the $e^{+} e^{-}$ pair yield in A+A collisions attributed to the excess radiation.

Raw (before efficiency correction) dielectron invariant-mass distribution.

Raw (before efficiency correction) dielectron invariant-mass distribution.

Example of $\Lambda$ signal for 0-40% most central events, over mixed-event background for the bin $-0.05 < y_{cm} < 0.05$ and reduced transverse masses between $100-150 MeV/c^{2}$.

Reduced transverse mass ($m_{t}-m_{0}$) spectra of $K^{0}_{S}$ for the 0-40% most central events.

Reduced transverse mass ($m_{t}-m_{0}$) spectra of $K^{0}_{S}$ for the 0-40% most central events. NOTE: The spectra are not scaled by $1/N_{Events}$! To compare the data, divide by $N_{Events} = 2.1997626 x 10^{9}$

Reduced transverse mass ($m_{t}-m_{0}$) spectra of $\Lambda$ for the 0-40% most central events.

Reduced transverse mass ($m_{t}-m_{0}$) spectra of $\Lambda$ for the 0-40% most central events. NOTE: The spectra are not scaled by $1/N_{Events}$! To compare the data, divide by $N_{Events} = 2.1997626 x 10^{9}$

Rapidity distribution of $K^{0}_{S}$

Rapidity distribution of $K^{0}_{S}$

Rapidity distribution of $\Lambda$

Rapidity distribution of $\Lambda$

Compilation of mid-rapidity yields for central Au+Au collisions as a function of $\sqrt{s_{NN}}$ of $K^{0}_{S}$ and $\Lambda$.

Compilation of mid-rapidity yields for central Au+Au collisions as a function of $\sqrt{s_{NN}}$ of $K^{0}_{S}$ and $\Lambda$.

Multiplicities per mean number of participants $Mult/\langle A_{Part}\rangle$ as a function of $\langle A_{Part}\rangle$

Multiplicities per mean number of participants $Mult/\langle A_{Part}\rangle$ as a function of $\langle A_{Part}\rangle$

Multiplicities per mean number of participants $Mult/\langle A_{Part}\rangle$ as a function of $\langle A_{Part}\rangle$ for $K^{0}_{S}$

Multiplicities per mean number of participants $Mult/\langle A_{Part}\rangle$ as a function of $\langle A_{Part}\rangle$ for $K^{0}_{S}$

Multiplicities per mean number of participants $Mult/\langle A_{Part}\rangle$ as a function of $\langle A_{Part}\rangle$ for $\Lambda$

Multiplicities per mean number of participants $Mult/\langle A_{Part}\rangle$ as a function of $\langle A_{Part}\rangle$ for $\Lambda$

Comparison of the shape of the rapidity distribution of $K^{0}_{S}$ to various transport model versions.

Comparison of the shape of the rapidity distribution of $K^{0}_{S}$ to various transport model versions.

Comparison of the shape of the rapidity distribution of $\Lambda$ to various transport model versions.

Comparison of the shape of the rapidity distribution of $\Lambda$ to various transport model versions.

Comparison of the shape of the $p_{t}$-spectra for $\pm0.15$ rapidity units around mid-rapidity of $K^{0}_{S}$ to various transport model versions.

Comparison of the shape of the $p_{t}$-spectra for $\pm0.15$ rapidity units around mid-rapidity of $K^{0}_{S}$ to various transport model versions.

Comparison of the shape of the $p_{t}$-spectra for $\pm0.15$ rapidity units around mid-rapidity of $\Lambda$ to various transport model versions.

Comparison of the shape of the $p_{t}$-spectra for $\pm0.15$ rapidity units around mid-rapidity of $\Lambda$ to various transport model versions.

Differential yield of $K^{0}_{S}$ as function of rapdidity and reduced transverse mass for the four centrality classes.

Differential yield of $K^{0}_{S}$ as function of rapdidity and reduced transverse mass for the four centrality classes. NOTE: The spectra are not scaled by $1/N_{Events}$! To compare the data, divide by $N_{Events} = 5.64247975 x 10^{8} (0 - 10\%)$, $5.85743394 x 10^{8} (10 - 20\%)$, $5.76369451 x 10^{8} (20 - 30\%)$ or $4.73401752 x 10^{8} (30 - 40\%)$

Differential yield of $\Lambda$ as function of rapdidity and reduced transverse mass for the four centrality classes.

Differential yield of $\Lambda$ as function of rapdidity and reduced transverse mass for the four centrality classes. NOTE: The spectra are not scaled by $1/N_{Events}$! To compare the data, divide by $N_{Events} = 5.64247975 x 10^{8} (0 - 10\%)$, $5.85743394 x 10^{8} (10 - 20\%)$, $5.76369451 x 10^{8} (20 - 30\%)$ or $4.73401752 x 10^{8} (30 - 40\%)$

$K^{0}_{S}$ and $\Lambda$ multiplicities in full phase space and inverse slopes at mid-rapidity $T_{Eff}$ for a given centrality.

$K^{0}_{S}$ and $\Lambda$ multiplicities in full phase space and inverse slopes at mid-rapidity $T_{Eff}$ for a given centrality.

Value of the parameter $\alpha$ extracted for $K^{+}$, $K^{-}$, $K^{0}_{S}$, $\Lambda$ and $\Phi$, as displayed in Figure 5 - Global $Mult/\langle A_{Part}\rangle$ Fit

Value of the parameter $\alpha$ extracted for $K^{+}$, $K^{-}$, $K^{0}_{S}$, $\Lambda$ and $\Phi$, as displayed in Figure 5 - Global $Mult/\langle A_{Part}\rangle$ Fit

$K^{+}$ signal and the corresponding background fit for the region covering mid-rapidity and $m_{t}−m_{0}$ between 25 and 50 $MeV/c^{2}$.

$K^{+}$ signal and the corresponding background fit for the region covering mid-rapidity and $m_{t}−m_{0}$ between 25 and 50 $MeV/c^{2}$.

$K^{+}$ signal and the corresponding background fit for the region covering mid-rapidity and $m_{t}−m_{0}$ between 25 and 50 $MeV/c^{2}$.

$K^{-}$ signal and the corresponding background fit for the region covering mid-rapidity and $m_{t}−m_{0}$ between 50 and 75 $MeV/c^{2}$.

$K^{-}$ signal and the corresponding background fit for the region covering mid-rapidity and $m_{t}−m_{0}$ between 50 and 75 $MeV/c^{2}$.

$K^{-}$ signal and the corresponding background fit for the region covering mid-rapidity and $m_{t}−m_{0}$ between 50 and 75 $MeV/c^{2}$.

$K^{+}K^{-}$ invariant mass distribution for the mid-rapidity region and $m_{t}−m_{0}$ between 0 and 100 $MeV/c^{2}$ after subtraction of the background.

$K^{+}K^{-}$ invariant mass distribution for the mid-rapidity region and $m_{t}−m_{0}$ between 0 and 100 $MeV/c^{2}$ after subtraction of the background.

$K^{+}K^{-}$ invariant mass distribution for the mid-rapidity region and $m_{t}−m_{0}$ between 0 and 100 $MeV/c^{2}$ after subtraction of the background.

Rapidity distributions of $K^{-}$ and $\phi$ as well as extracted inverse slope parameters obtained from the Boltzmann fits to the the $m_{t}$ spectra.

Rapidity distributions of $K^{-}$ and $\phi$ as well as extracted inverse slope parameters obtained from the Boltzmann fits to the the $m_{t}$ spectra.

Rapidity distributions of $K^{-}$ and $\phi$ as well as extracted inverse slope parameters obtained from the Boltzmann fits to the the $m_{t}$ spectra.

$K^{-}$ transverse-mass spectrum around mid-rapidity

$K^{-}$ transverse-mass spectrum around mid-rapidity

$K^{-}$ transverse-mass spectrum around mid-rapidity

Multiplicity ratio $\phi/K^{-}$ as function of $\sqrt{s_{NN}}$ for central heavy-ion collisions.

Multiplicity ratio $\phi/K^{-}$ as function of $\sqrt{s_{NN}}$ for central heavy-ion collisions.

Multiplicity ratio $\phi/K^{-}$ as function of $\sqrt{s_{NN}}$ for central heavy-ion collisions.

Multiplicities and effective inverse slopes $T_{eff}$ at mid-rapidity for given centrality classes.

Multiplicities and effective inverse slopes $T_{eff}$ at mid-rapidity for given centrality classes.

Multiplicities and effective inverse slopes $T_{eff}$ at mid-rapidity for given centrality classes.

Multiplicity ratios for given centrality classes.

Multiplicity ratios for given centrality classes.

Multiplicity ratios for given centrality classes.

Reduced transverse mass ($m_{t}-m_{0}$) spectra of $K^{+}$ for the 0-40% most central events.

Reduced transverse mass ($m_{t}-m_{0}$) spectra of $K^{+}$ for the 0-40% most central events.

Reduced transverse mass ($m_{t}-m_{0}$) spectra of $K^{+}$ for the 0-40% most central events.

Reduced transverse mass ($m_{t}-m_{0}$) spectra of $K^{-}$ for the 0-40% most central events.

Reduced transverse mass ($m_{t}-m_{0}$) spectra of $K^{-}$ for the 0-40% most central events.

Reduced transverse mass ($m_{t}-m_{0}$) spectra of $K^{-}$ for the 0-40% most central events.

Reduced transverse mass ($m_{t}-m_{0}$) spectra of $\phi$ for the 0-40% most central events.

Reduced transverse mass ($m_{t}-m_{0}$) spectra of $\phi$ for the 0-40% most central events.

Reduced transverse mass ($m_{t}-m_{0}$) spectra of $\phi$ for the 0-40% most central events.

Rapidity distribution of $K^{+}$ for the 0-40% most central events.

The cumulant $c_2\{8\}$ extracted for all charged particles with $0.3 < p_T < 3.0$ GeV/c as a function of $N_{trk}^{offline}$ in pPb collisions.

The elliptic flow $v_2\{6\}$ extracted for all charged particles with $0.3 < p_T < 3.0$ GeV/c as a function of $N_{trk}^{offline}$ in PbPb collisions.

The elliptic flow $v_2\{8\}$ extracted for all charged particles with $0.3 < p_T < 3.0$ GeV/c as a function of $N_{trk}^{offline}$ in PbPb collisions.

The elliptic flow $v_2\{\text{LYZ}\}$ extracted for all charged particles with $0.3 < p_T < 3.0$ GeV/c as a function of $N_{trk}^{offline}$ in PbPb collisions.

The elliptic flow $v_2\{6\}$ extracted for all charged particles with $0.3 < p_T < 3.0$ GeV/c as a function of $N_{trk}^{offline}$ in pPb collisions.

The elliptic flow $v_2\{8\}$ extracted for all charged particles with $0.3 < p_T < 3.0$ GeV/c as a function of $N_{trk}^{offline}$ in pPb collisions.

The elliptic flow $v_2\{\text{LYZ}\}$ extracted for all charged particles with $0.3 < p_T < 3.0$ GeV/c as a function of $N_{trk}^{offline}$ in pPb collisions.

The cumulant ratio $c_2\{6\}/v_2\{4\}$ as a function of $c_2\{4\}/v_2\{2\}$ in pPb collisions.

The cumulant ratio $c_2\{8\}/v_2\{6\}$ as a function of $c_2\{4\}/v_2\{2\}$ in pPb collisions.

The cumulant ratio $c_2\{6\}/v_2\{4\}$ as a function of $c_2\{4\}/v_2\{2\}$ in PbPb collisions.

The cumulant ratio $c_2\{8\}/v_2\{6\}$ as a function of $c_2\{4\}/v_2\{2\}$ in PbPb collisions.

Results for G1(DEUT)/F1(DEUT) for the deuteron in bins of (W;Q**2), along with average kinematic values and correction factors for each bin. All values are averaged over the event distribution.

The product of the electronic width of the PHI(1020) and its branching fraction to KS KL.

Cross section measurement for PHI(1680).

Mass measurement for PHI(1680).

Measurement of the PHI(1680) width.

The product of the electronic width of the PHI(1680) and its branching fraction to KS KL.

The measured E+ E- --> KS KL cross section as a function of the centre-of-mass energy.

The measured E+ E- --> KS KL PI+ PI- cross section as a function of the centre-of-mass energy.

The measured E+ E- --> KS KS PI+ PI- cross section as a function of the centre-of-mass energy.

The measured E+ E- --> KS KS K+ K- cross section as a function of the centre-of-mass energy.

The product WIDTH(E+ E- --> J/PSI) * BR(J/PSI --> KS KL PI+ PI-) and the J/PSI branching fraction.

The product WIDTH(E+ E- --> J/PSI) * BR(J/PSI --> KS KS PI+ PI-) and the J/PSI branching fraction.

The product WIDTH(E+ E- --> J/PSI) * BR(J/PSI --> KS KS K+ K-) and the J/PSI branching fraction.

The product WIDTH(E+ E- --> J/PSI) * BR(J/PSI --> K*(892) KS PI) * BR(K*(892) --> KS PI) and the J/PSI branching fraction.

The product WIDTH(E+ E- --> J/PSI) * BR(J/PSI --> K2*(1430) KS PI) * BR(K2*(1430) --> KS PI) and the J/PSI branching fraction.

The product WIDTH(E+ E- --> J/PSI) * BR(J/PSI --> K*(892)+ K*(892)-) * (BR(K*(892) --> KS PI))**2 and the 90% C.L. J/PSI branching fraction.

The product WIDTH(E+ E- --> J/PSI) * BR(J/PSI --> K2*(1430) K*(892)) * BR(K2*(1430) --> KS PI) * BR(K*(892) --> KS PI) and the 90% C.L. J/PSI branching fraction.

The product WIDTH(E+ E- --> J/PSI) * BR(J/PSI --> KS KS PHI(1020)) * BR(PHI --> K+ K-) and the J/PSI branching fraction.

The product WIDTH(E+ E- --> J/PSI) * BR(J/PSI --> F2PRIME(1525) PHI(1020)) * BR(PHI --> K+ K-} * BR(F2PRIME(1525) --> KS KS) and the J/PSI branching fraction.

The product WIDTH(E+ E- --> J/PSI) * BR(J/PSI --> F2PRIME(1525) K+ K-) * BR(F2PRIME(1525) --> KS KS) and the J/PSI branching fraction.

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Cross section measurements for the reaction E+ E- --> PHI F0(980). Statistical errors only.

Cross section measurements for the reaction E+ E- --> PHI F0(600). Statistical errors only.

Cross section measurements for the reaction E+ E- --> K+ K- PI0 PI0. Statistical errors only.

Cross section measurements for the reaction E+ E- --> PHI F0(980). Statistical errors only.

Cross section measurements for the reaction E+ E- --> K+ K- K+ K-. Statistical errors only.

Forward differential cross section for P P --> PI+ DEUT at beam momenta 1640 MeV.

Forward differential cross section for P P --> PI+ DEUT at beam momenta 1220 MeV.

Forward differential cross section for P P --> PI+ DEUT at beam momenta 995 MeV.

Additional information containing number of events which were used to reconstruct the numvers matching to Figure 1 and 2.

Additional information containing number of events which were used to reconstruct the numvers matching to Figure 1 and 2.

Additional information containing number of events which were used to reconstruct the numvers matching to Figure 1 and 2.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 62.4 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 62.4 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 62.4 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 62.4 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 62.4 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 62.4 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 62.4 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 62.4 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 62.4 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 62.4 GeV Au+Au collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV Cu+Cu collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV Cu+Cu collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV Cu+Cu collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV Cu+Cu collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV Cu+Cu collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV Cu+Cu collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV Cu+Cu collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 62.4 GeV Cu+Cu collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 62.4 GeV Cu+Cu collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 62.4 GeV Cu+Cu collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 62.4 GeV Cu+Cu collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 62.4 GeV Cu+Cu collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 22.5 GeV Cu+Cu collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 22.5 GeV Cu+Cu collisions.

The uncorrected multiplicity distributions of charged hadrons with 0.2 < $p_T$ < 2.0 GeV/$c$ for 200 GeV $p$+$p$ collisions.

The mean from the NBD fit as a function of $N_{part}$ for 200 GeV Au+Au collisions over the range 0.2 < $p_T$ < 2.0 GeV/$c$.

The mean from the NBD fit as a function of $N_{part}$ for 62.4 GeV Au+Au collisions over the range 0.2 < $p_T$ < 2.0 GeV/$c$.

The mean from the NBD fit as a function of $N_{part}$ for 200 GeV Cu+Cu collisions over the range 0.2 < $p_T$ < 2.0 GeV/$c$.

The mean from the NBD fit as a function of $N_{part}$ for 62.4 GeV Cu+Cu collisions over the range 0.2 < $p_T$ < 2.0 GeV/$c$.

The mean from the NBD fit as a function of $N_{part}$ for 22.5 GeV Cu+Cu collisions over the range 0.2 < $p_T$ < 2.0 GeV/$c$.

Fluctuations expressed as the scaled variance as a function of centrality for 200 GeV Au+Au collisions in the range 0.2 < $p_T$ < 2.0 GeV/$c$.

Fluctuations expressed as the scaled variance as a function of $N_{part}$ for 200 GeV Au+Au collisions for 0.2 < $p_T$ < 2.0 GeV/$c$.

Fluctuations expressed as the scaled variance as a function of $N_{part}$ for 62.4 GeV Au+Au collisions for 0.2 < $p_T$ < 2.0 GeV/$c$.

Fluctuations expressed as the scaled variance as a function of $N_{part}$ for 200 GeV Cu+Cu collisions for 0.2 < $p_T$ < 2.0 GeV/$c$.

Fluctuations expressed as the scaled variance as a function of $N_{part}$ for 62.4 GeV Cu+Cu collisions for 0.2 < $p_T$ < 2.0 GeV/$c$.

Fluctuations expressed as the scaled variance as a function of $N_{part}$ for 22.5 GeV Cu+Cu collisions for 0.2 < $p_T$ < 2.0 GeV/$c$.

Scaled variance for 200 GeV Au+Au collisions plotted as a function of $N_{part}$ for several $p_T$ ranges.

Scaled variance for 200 GeV Au+Au collisions plotted as a function of $N_{part}$ for several $p_T$ ranges.

Scaled variance for 62.4 GeV Au+Au collisions plotted as a function of $N_{part}$ for several $p_T$ ranges.

Scaled variance for 62.4 GeV Au+Au collisions plotted as a function of $N_{part}$ for several $p_T$ ranges.

Scaled variance for 62.4 GeV Au+Au collisions plotted as a function of $N_{part}$ for several $p_T$ ranges.

Scaled variance for 200 GeV Cu+Cu collisions plotted as a function of $N_{part}$ for several $p_T$ ranges.

Scaled variance for 200 GeV Cu+Cu collisions plotted as a function of $N_{part}$ for several $p_T$ ranges.

Scaled variance for 200 GeV Cu+Cu collisions plotted as a function of $N_{part}$ for several $p_T$ ranges.

Scaled variance for 62.4 GeV Cu+Cu collisions plotted as a function of $N_{part}$ for several $p_T$ ranges.

Scaled variance for 62.4 GeV Cu+Cu collisions plotted as a function of $N_{part}$ for several $p_T$ ranges.

The inverse of the parameter $k_{NBD}$ from the Negative Binomial Distribution fits for 200 GeV Au+Au collisions. The fluctuations are plotted as a function of $N_{part}$ for several $p_T$ ranges.

The inverse of the parameter $k_{NBD}$ from the Negative Binomial Distribution fits for 200 GeV Au+Au collisions. The fluctuations are plotted as a function of $N_{part}$ for several $p_T$ ranges.

The inverse of the parameter $k_{NBD}$ from the Negative Binomial Distribution fits for 62.4 GeV Au+Au collisions. The fluctuations are plotted as a function of $N_{part}$ for several $p_T$ ranges.

The inverse of the parameter $k_{NBD}$ from the Negative Binomial Distribution fits for 62.4 GeV Au+Au collisions. The fluctuations are plotted as a function of $N_{part}$ for several $p_T$ ranges.

The inverse of the parameter $k_{NBD}$ from the Negative Binomial Distribution fits for 62.4 GeV Au+Au collisions. The fluctuations are plotted as a function of $N_{part}$ for several $p_T$ ranges.

The inverse of the parameter $k_{NBD}$ from the Negative Binomial Distribution fits for 200 GeV Cu+Cu collisions. The fluctuations are plotted as a function of $N_{part}$ for several $p_T$ ranges.

The inverse of the parameter $k_{NBD}$ from the Negative Binomial Distribution fits for 200 GeV Cu+Cu collisions. The fluctuations are plotted as a function of $N_{part}$ for several $p_T$ ranges.

The inverse of the parameter $k_{NBD}$ from the Negative Binomial Distribution fits for 200 GeV Cu+Cu collisions. The fluctuations are plotted as a function of $N_{part}$ for several $p_T$ ranges.

The inverse of the parameter $k_{NBD}$ from the Negative Binomial Distribution fits for 62.4 GeV Cu+Cu collisions. The fluctuations are plotted as a function of $N_{part}$ for several $p_T$ ranges.

The inverse of the parameter $k_{NBD}$ from the Negative Binomial Distribution fits for 62.4 GeV Cu+Cu collisions. The fluctuations are plotted as a function of $N_{part}$ for several $p_T$ ranges.

The scaled variance as a funciton of $N_{part}$ for 200 GeV Au+Au collisions in the range 0.2 < $p_T$ < 2.0 GeV/$c$.

The correlation of the clan model parameters $\bar{n_c}$ and $\bar{N_c}$ for all of the collision species measured as a function of centrality.

The correlation of the clan model parameters $\bar{n_c}$ and $\bar{N_c}$ for all of the collision species measured as a function of centrality.

The correlation of the clan model parameters $\bar{n_c}$ and $\bar{N_c}$ for all of the collision species measured as a function of centrality.

The correlation of the clan model parameters $\bar{n_c}$ and $\bar{N_c}$ for all of the collision species measured as a function of centrality.

The correlation of the clan model parameters $\bar{n_c}$ and $\bar{N_c}$ for all of the collision species measured as a function of centrality.

The correlation of the clan model parameters $\bar{n_c}$ and $\bar{N_c}$ for all of the collision species measured as a function of centrality.

The correlation of the clan model parameters $\bar{n_c}$ and $\bar{N_c}$ for all of the collision species measured as a function of centrality.

The correlation of the clan model parameters $\bar{n_c}$ and $\bar{N_c}$ for all of the collision species measured as a function of centrality.

The correlation of the clan model parameters $\bar{n_c}$ and $\bar{N_c}$ for all of the collision species measured as a function of centrality.

The correlation of the clan model parameters $\bar{n_c}$ and $\bar{N_c}$ for all of the collision species measured as a function of centrality.

The correlation of the clan model parameters $\bar{n_c}$ and $\bar{N_c}$ for all of the collision species measured as a function of centrality.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Measurement of the E+ E- --> PHI F(980)0 cross section.

Measurement of the E+ E- --> K+ K- PI0 PI0 cross section. Statistical errors only.

Measurement of the E+ E- --> PHI F0 cross section for the F0 --> PI0 PI0 final state. Statistical errors only.

Measurement of the E+ E- --> K+ K- K+ K- cross section. Statistical errors only.

Spin parity analysis fits for RHO+ RHO-.

Parameter $\alpha$ from the fit to the data.

Results of the measurements by PHENIX at $\sqrt{s_{NN}}$ = 200 GeV.

Results of the measurements by PHENIX at $\sqrt{s_{NN}}$ = 130 GeV.

Results of the measurements by PHENIX at $\sqrt{s_{NN}}$ = 19.6 GeV.

Ratios of measured quantities at 200 GeV/130 GeV and 200 GeV/19.6 GeV. The number of $N_P$ is the average between two energies.

Ratios of measured quantities at 200 GeV/130 GeV and 200 GeV/19.6 GeV. The number of $N_P$ is the average between two energies.

200, 130, and 19.6 GeV are RHIC average values, and 17.2, 8.7, and 4.8 GeV are SPS average values of $dN_{ch}$/$d\eta$/($0.5N_p$) at different $\sqrt{s_{NN}}$. An additional 5% error (recalc.) is added for collision energies 4.8 - 17.6 GeV for the uncertainty related to recalculation to the Center of Mass system.

200, 130, and 19.6 GeV are RHIC average values, and 17.2, 8.7, and 4.8 GeV are SPS average values of $dN_{ch}$/$d\eta$/($0.5N_p$) at different $\sqrt{s_{NN}}$. An additional 5% error (recalc.) is added for collision energies 4.8 - 17.6 GeV for the uncertainty related to recalculation to the Center of Mass system.

200, 130, and 19.6 GeV are RHIC average values, and 17.2, 8.7, and 4.8 GeV are SPS average values of $dN_{ch}$/$d\eta$/($0.5N_p$) at different $\sqrt{s_{NN}}$. An additional 5% error (recalc.) is added for collision energies 4.8 - 17.6 GeV for the uncertainty related to recalculation to the Center of Mass system.

200, 130, and 19.6 GeV are RHIC average values, and 17.2, 8.7, and 4.8 GeV are SPS average values of $dN_{ch}$/$d\eta$/($0.5N_p$) at different $\sqrt{s_{NN}}$. An additional 5% error (recalc.) is added for collision energies 4.8 - 17.6 GeV for the uncertainty related to recalculation to the Center of Mass system.

Cross section for the reaction E P --> E P GAMMA at a polar angle given by COS(THETA) = -0.975 and azimuthal angle PHI = 105 degrees both in the centre-of-mass frame of the GAMMA* P --> GAMMA* P reaction.

Cross section for the reaction E P --> E P GAMMA at a polar angle given by COS(THETA) = -0.975 and azimuthal angle PHI = 135 degrees both in the centre-of-mass frame of the GAMMA* P --> GAMMA* P reaction.

Cross section for the reaction E P --> E P GAMMA at a polar angle given by COS(THETA) = -0.975 and azimuthal angle PHI = 165 degrees both in the centre-of-mass frame of the GAMMA* P --> GAMMA* P reaction.

Cross section for the reaction E P --> E P GAMMA at a polar angle given by COS(THETA) = -0.875 and azimuthal angle PHI = 15 degrees both in the centre-of-mass frame of the GAMMA* P --> GAMMA* P reaction.

Cross section for the reaction E P --> E P GAMMA at a polar angle given by COS(THETA) = -0.875 and azimuthal angle PHI = 45 degrees both in the centre-of-mass frame of the GAMMA* P --> GAMMA* P reaction.

Cross section for the reaction E P --> E P GAMMA at a polar angle given by COS(THETA) = -0.875 and azimuthal angle PHI = 75 degrees both in the centre-of-mass frame of the GAMMA* P --> GAMMA* P reaction.

Cross section for the reaction E P --> E P GAMMA at a polar angle given by COS(THETA) = -0.875 and azimuthal angle PHI = 105 degrees both in the centre-of-mass frame of the GAMMA* P --> GAMMA* P reaction.

Cross section for the reaction E P --> E P GAMMA at a polar angle given by COS(THETA) = -0.875 and azimuthal angle PHI = 135 degrees both in the centre-of-mass frame of the GAMMA* P --> GAMMA* P reaction.

Cross section for the reaction E P --> E P GAMMA at a polar angle given by COS(THETA) = -0.875 and azimuthal angle PHI = 165 degrees both in the centre-of-mass frame of the GAMMA* P --> GAMMA* P reaction.

Cross section for the reaction E P --> E P GAMMA at a polar angle given by COS(THETA) = -0.650 and azimuthal angle PHI = 15 degrees both in the centre-of-mass frame of the GAMMA* P --> GAMMA* P reaction.

Cross section for the reaction E P --> E P GAMMA at a polar angle given by COS(THETA) = -0.650 and azimuthal angle PHI = 45 degrees both in the centre-of-mass frame of the GAMMA* P --> GAMMA* P reaction.

Cross section for the reaction E P --> E P GAMMA at a polar angle given by COS(THETA) = -0.650 and azimuthal angle PHI = 75 degrees both in the centre-of-mass frame of the GAMMA* P --> GAMMA* P reaction.

Cross section for the reaction E P --> E P GAMMA at a polar angle given by COS(THETA) = -0.650 and azimuthal angle PHI = 105 degrees both in the centre-of-mass frame of the GAMMA* P --> GAMMA* P reaction.

Cross section for the reaction E P --> E P GAMMA at a polar angle given by COS(THETA) = -0.650 and azimuthal angle PHI = 135 degrees both in the centre-of-mass frame of the GAMMA* P --> GAMMA* P reaction.

Cross section for the reaction E P --> E P GAMMA at a polar angle given by COS(THETA) = -0.650 and azimuthal angle PHI = 165 degrees both in the centre-of-mass frame of the GAMMA* P --> GAMMA* P reaction.

Measured production cross section for the E+ E- process as a function of W for Q**2 from 1.2 to 8.5 GeV**2 for the Z-pole data.

Measured production cross section for the E+ E- process as a function of W for Q**2 from 8.8 to 30 GeV**2 for the high energy data.

Measured production cross section cross section for the two photon process as a function of W for Q**2 from 1.2 to 8.5 GeV**2 for the Z-pole data.

Measured production cross section cross section for the two photon process as a function of W for Q**2 from 8.8 to 30 GeV**2 for the high energy data.

Measured production cross section for the two-photon process as a function of W for Q**2 from 1.2 to 8.5 GeV**2 for the Z-pole data.

Measured production cross section for the two-photon process as a function of W for Q**2 from 8.8 to 30 GeV**2 for the high energy data.

The cross section as a function of W for two COS(THETA*) ranges.

Measurements of the spin correlation parameter CLL. Statistical errors onlyare shown. For the systematics see the systematic section above. Note the two overlapping angular settings.

Measurements of the combined spin observable Cpq measured in the (x,xz) position as a linear combination of CSS, CSL and CLL (see the table above for the coefficients). The errors are purely statistical. An extra 6 PCT uncertainty has to be added to the systematic errors shown in the systematic section above.

Measurements of the combined spin observable Cpq measured in the (x,z) position as a linear combination of CSL and CLL (see the table above for the coefficients). The errors are purely statistical. An extra 6 PCT uncertainty has to be added to the systematic errors shown in the systematic section above.

Measurements of DSL with statistical errors only.

Measurements of DSS with statistical errors only.

Measurements of KNN with statistical errors only.

Measurements of KSL with statistical errors only.

Measurements of KSS with statistical errors only.

Measurements of the triple spin parameter NNLL with statistical errors only.

Measurements of the triple spin parameter NSLN with statistical errors only.

Measurements of the triple spin parameter NSNS with statistical errors only.

Measurements of the triple spin parameter NSSN with statistical errors only.