$v_3\{\Psi_1\}$ vs. centrality for $\pi^+$, $\pi^-$, and protons using the event plane method in $\sqrt{s_{\textrm{NN}}}=3$ GeV Au+Au collisions at STAR.

$v_3\{\Psi_1\}$ vs. centrality for $K^+$, and $K^-$ using the event plane method in $\sqrt{s_{\textrm{NN}}}=3$ GeV Au+Au collisions at STAR.

$v_3\{\Psi_1\}$ vs. centrality for $K^+$, and $K^-$ using the event plane method in $\sqrt{s_{\textrm{NN}}}=3$ GeV Au+Au collisions at STAR.

$v_3\{\Psi_1\}$ vs. rapidity for protons in three large centrality bins from a symmetric acceptance across midrapidity in $\sqrt{s_{\textrm{NN}}}=3$ GeV Au+Au collisions at STAR. Protons exhibit an increasingly negative slope as the centrality increases.

$v_3\{\Psi_1\}$ vs. rapidity for protons in three large centrality bins from a symmetric acceptance across midrapidity in $\sqrt{s_{\textrm{NN}}}=3$ GeV Au+Au collisions at STAR. Protons exhibit an increasingly negative slope as the centrality increases.

$v_3\{\Psi_1\}$ vs. rapidity for protons in three large centrality bins from only the backward region in $\sqrt{s_{\textrm{NN}}}=3$ GeV Au+Au collisions at STAR. Note that the $p_{\mathrm{T}}$ acceptance extends to a lower limit than in Fig. 6.

$v_3\{\Psi_1\}$ vs. rapidity for protons in three large centrality bins from only the backward region in $\sqrt{s_{\textrm{NN}}}=3$ GeV Au+Au collisions at STAR. Note that the $p_{\mathrm{T}}$ acceptance extends to a lower limit than in Fig. 6.

$v_3\{\Psi_1\}$ vs. $p_{\mathrm{T}}$ for protons in three large centrality bins in $\sqrt{s_{\textrm{NN}}}=3$ GeV Au+Au collisions at STAR. $v_3\{\Psi_1\}$ becomes increasingly negative as $p_{\mathrm{T}}$ and centrality increase.

$v_3\{\Psi_1\}$ vs. $p_{\mathrm{T}}$ for protons in three large centrality bins in $\sqrt{s_{\textrm{NN}}}=3$ GeV Au+Au collisions at STAR. $v_3\{\Psi_1\}$ becomes increasingly negative as $p_{\mathrm{T}}$ and centrality increase.

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.

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.

B.R. times dN/dy of $^{4}_{\Lambda}$H vs y in 3 GeV 10-50% Au+Au collisions

B.R. times dN/dy at |y|<0.5 of $^{3}_{\Lambda}$H vs B.R in 3 GeV 0-10% Au+Au collisions

B.R. times dN/dy at |y|<0.5 of $^{4}_{\Lambda}$H vs B.R in 3 GeV 0-10% Au+Au collisions

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$\%$.

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/$c$.

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USING OPTICAL THEOREM: IMAGAMP1 = 0.0403*P*SIG.