The acceptance-corrected excess dielectron mass spectra, normalized to the charged particle multiplicity at mid-rapidity dNch/dy, in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV. The dNch/dy values in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV are from Ref. [38]. The normalization uncertainty from the STAR measured dN/dy is about 10%, which is not shown in the table.

The acceptance-corrected excess dielectron mass spectra, normalized to the charged particle multiplicity at mid-rapidity dNch/dy, in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The dNch/dy values in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV are from Ref. [39]. The normalization uncertainty from the STAR measured dN/dy is about 10%, which is not shown in the table.

Integrated yields of the normalized dilepton excesses for 0.4 < $M^{ll}$ < 0.75 GeV/c$^2$ as a function of dNch/dy. From top to bottom: 0-80% Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV, then 0-10%, 10-40%, 40-80% and 0-80% Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Representative results on $v_3^2\{2\}$ from Au+Au collisions as a function of $\Delta\eta$ for charged hadrons with pT > 0.2 GeV/c and |$\eta$| < 1.

Npart values are for the corresponding centrality at 200 GeV.

Npart values are for the corresponding centrality at 200 GeV.

Npart values are for the corresponding centrality at 200 GeV.

Npart values are for the corresponding centrality at 200 GeV.

Npart values are for the corresponding centrality at 200 GeV.

Npart values are for the corresponding centrality at 200 GeV.

Npart values are for the corresponding centrality at 200 GeV.

Npart values are for the corresponding centrality at 200 GeV.

No description provided.

$v_{2}(p_{T})$ for $K_{S}^{0}$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $K_{S}^{0}$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $K_{S}^{0}$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $K_{S}^{0}$ (Centrality:40-80%)

$v_{3}(p_{T})$ for $K_{S}^{0}$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\Lambda$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\Lambda$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\Lambda$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\Lambda$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\Lambda$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\Lambda$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\Lambda$ (Centrality:40-80%)

$v_{3}(p_{T})$ for $\Lambda$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\bar{\Lambda}$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\bar{\Lambda}$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\bar{\Lambda}$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\bar{\Lambda}$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\bar{\Lambda}$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\bar{\Lambda}$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\bar{\Lambda}$ (Centrality:40-80%)

$v_{3}(p_{T})$ for $\bar{\Lambda}$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\phi$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\phi$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\phi$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\phi$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\phi$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\phi$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\phi$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\Xi^{-}$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\Xi^{-}$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\Xi^{-}$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\Xi^{-}$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\Xi^{-}$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\Xi^{-}$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\Xi^{-}$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\bar{\Xi^{+}}$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\Omega^{-}$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\Omega^{-}$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\Omega^{-}$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\Omega^{-}$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\Omega^{-}$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\Omega^{-}$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\Omega^{-}$ (Centrality:0-80%)

$v_{2}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:0-10%)

$v_{2}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:10-40%)

$v_{2}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:40-80%)

$v_{2}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:0-80%)

$v_{3}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:0-10%)

$v_{3}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:10-40%)

$v_{3}(p_{T})$ for $\bar{\Omega^{+}}$ (Centrality:0-80%)

$v_{2}$ of $\phi$ to $\bar{p}$ ratio

Difference of $v_{2}$ between particle and anti-particle

Difference of $v_{3}$ between particle and anti-particle

Jet fractions using the JADE algorithm as a function of the jet resolution parameter YCUT at c.m. energy 172.3 GeV.

Jet fractions using the JADE algorithm as a function of the jet resolution parameter YCUT at c.m. energy 182.8 GeV.

Jet fractions using the JADE algorithm as a function of the jet resolution parameter YCUT at c.m. energy 188.6 GeV.

Jet fractions using the JADE algorithm as a function of the jet resolution parameter YCUT at c.m. energy 194.4 GeV.

Jet fractions using the JADE algorithm as a function of the jet resolution parameter YCUT at c.m. energy 200.2 GeV.

Jet fractions using the JADE algorithm as a function of the jet resolution parameter YCUT at c.m. energy 206.2 GeV.

Jet fractions using the KT(Durham) algorithm as a function of the jet resolution parameter YCUT at c.m. energy 130.1 GeV.

Jet fractions using the KT(Durham) algorithm as a function of the jet resolution parameter YCUT at c.m. energy 136.1 GeV.

Jet fractions using the KT(Durham) algorithm as a function of the jet resolution parameter YCUT at c.m. energy 161.3 GeV.

Jet fractions using the KT(Durham) algorithm as a function of the jet resolution parameter YCUT at c.m. energy 172.3 GeV.

Jet fractions using the KT(Durham) algorithm as a function of the jet resolution parameter YCUT at c.m. energy 182.8 GeV.

Jet fractions using the KT(Durham) algorithm as a function of the jet resolution parameter YCUT at c.m. energy 188.6 GeV.

Jet fractions using the KT(Durham) algorithm as a function of the jet resolution parameter YCUT at c.m. energy 194.4 GeV.

Jet fractions using the KT(Durham) algorithm as a function of the jet resolution parameter YCUT at c.m. energy 200.2 GeV.

Jet fractions using the KT(Durham) algorithm as a function of the jet resolution parameter YCUT at c.m. energy 206.2 GeV.

Jet fractions using the Cambridge algorithm as a function of the jet resolution parameter YCUT at c.m. energy 202.2 GeV.

Jet fractions using the Cambridge algorithm as a function of the jet resolution parameter YCUT at c.m. energy 206.2 GeV.

Differential distributions for event thrust.

Differential distributions for event thrust.

Differential distributions for event thrust.

Differential distributions for event thrust.

Differential distributions for event thrust.

Differential distributions for the scaled heavy jet mass (RHO(C=HEAVY)).

Differential distributions for the scaled heavy jet mass (RHO(C=HEAVY)).

Differential distributions for the scaled heavy jet mass (RHO(C=HEAVY)).

Differential distributions for the scaled heavy jet mass (RHO(C=HEAVY)).

Differential distributions for the scaled heavy jet mass (RHO(C=HEAVY)).

Differential distributions for total jet broadening (BT).

Differential distributions for total jet broadening (BT).

Differential distributions for total jet broadening (BT).

Differential distributions for total jet broadening (BT).

Differential distributions for total jet broadening (BT).

Differential distributions for wide jet broadening (BW).

Differential distributions for wide jet broadening (BW).

Differential distributions for wide jet broadening (BW).

Differential distributions for wide jet broadening (BW).

Differential distributions for wide jet broadening (BW).

Differential distributions for the C-Parameter.

Differential distributions for the C-Parameter.

Differential distributions for the C-Parameter.

Differential distributions for the D-Parameter.

Differential distributions for the D-Parameter.

Differential distributions for the D-Parameter.

Differential distributions for the THRUST at c.m. energy 91.2 GeV for light quark (udsc) and b quark events.

Differential distributions for the RHO(C=HEAVY) at c.m. energy 91.2 GeV forlight quark (udsc) and b quark events.

Differential distributions for the BT at c.m. energy 91.2 GeV for light quark (udsc) and b quark events.

Differential distributions for the BW at c.m. energy 91.2 GeV for light quark (udsc) and b quark events.

Differential distributions for the C-PARAM at c.m. energy 91.2 GeV for light quark (udsc) and b quark events.

Differential distributions for the D-PARAM at c.m. energy 91.2 GeV for light quark (udsc) and b quark events.

Mean values (first moment) and dispersion (second moment) of the THRUST distribution as a function of c.m. energy.

Mean values (first moment) and dispersion (second moment) of the scaled heavy jet mass (RHO(C=HEAVY)) as a function of c.m. energy.

Mean values (first moment) and dispersion (second moment) of the total jet broadening (BT) as a function of c.m. energy.

Mean values (first moment) and dispersion (second moment) of the wide jet broadening (BW) as a function of c.m. energy.

Mean values (first moment) and dispersion (second moment) of the C-PARAM as a function of c.m. energy.

Mean values (first moment) and dispersion (second moment) of the D-PARAM as a function of c.m. energy.

Charged particle multiplicities at c.m. energy 91.2 GeV for all flavour, light quark (udsc) and bottom (b) flavour events.

Charged particle multiplicity.

Charged particle multiplicity.

Charged particle multiplicity.

First and second moment of the charged particle multiplicity distribution at c.m. energy 91.2 GeV for all flavours and for udsc an b flavours.

First and second moment of the charged particle multiplicity distribution at c.m. energy.

Distribution of LN(1/X) at c.m. energy 91.2 GeV.

Distribution of LN(1/X) at higher c.m. energies.

Distribution of LN(1/X) at higher c.m. energies.

Distribution of LN(1/X) at higher c.m. energies.

Centrality dependence of single cumulants C1, of net-lambda multiplicity distributions at Au + Au collision 62.4 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C1, of net-lambda multiplicity distributions at Au + Au collision 200 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C2, of net-lambda multiplicity distributions at Au + Au collision 19.6 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C2, of net-lambda multiplicity distributions at Au + Au collision 27 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C2, of net-lambda multiplicity distributions at Au + Au collision 39 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C2, of net-lambda multiplicity distributions at Au + Au collision 62.4 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C2, of net-lambda multiplicity distributions at Au + Au collision 200 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C3, of net-lambda multiplicity distributions at Au + Au collision 19.6 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C3, of net-lambda multiplicity distributions at Au + Au collision 27 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C3, of net-lambda multiplicity distributions at Au + Au collision 39 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C3, of net-lambda multiplicity distributions at Au + Au collision 62.4 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of single cumulants C3, of net-lambda multiplicity distributions at Au + Au collision 200 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C2/C1, as a function of net-lambda multiplicity distributions at Au + Au collision 19.6 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C2/C1, as a function of net-lambda multiplicity distributions at Au + Au collision 27 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C2/C1, as a function of net-lambda multiplicity distributions at Au + Au collision 39 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C2/C1, as a function of net-lambda multiplicity distributions at Au + Au collision 62.4 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C2/C1, as a function of net-lambda multiplicity distributions at Au + Au collision 200 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C3/C2, as a function of net-lambda multiplicity distributions at Au + Au collision 19.6 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C3/C2, as a function of net-lambda multiplicity distributions at Au + Au collision 27 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C3/C2, as a function of net-lambda multiplicity distributions at Au + Au collision 39 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C3/C2, as a function of net-lambda multiplicity distributions at Au + Au collision 62.4 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Centrality dependence of net-lambda cumulant ratio C3/C2, as a function of net-lambda multiplicity distributions at Au + Au collision 200 GeV. Values are shown with NBD, Poisson and UrQMD predictions.Npart values are from Phys. Rev. C 104, 024902 (2021) and they are little different than the values shown in the original paper.

Beam-energy dependence of net-lambda cumulant ratios C2/C1 in most central (0-5%) and peripheral (50-60%). Values are shown with NBD, Poisson and UrQMD predictions.

Beam-energy dependence of net-lambda cumulant ratios C3/C2 in most central (0-5%) and peripheral (50-60%). Values are shown with NBD, Poisson and UrQMD predictions.

Beam-energy dependence of net-lambda, net-proton and net-kaon cumulant ratios C2/C1 in most central (0-5%) collision.

Beam-energy dependence of net-lambda, net-proton and net-kaon cumulant ratios C3/C2 in most central (0-5%) collision.

Beam-energy dependence of net-lambda cumulant ratios C2/C1 in most central (0-5%) collision, along with results from HRG.

Beam-energy dependence of net-lambda cumulant ratios C3/C2 in most central (0-5%) collision, along with results from HRG.

Rapidity dependence of net-lambda cumulant ratios C2/C1 in most central (0-5%) collision, along with results from NBD.

Rapidity dependence of net-lambda cumulant ratios C3/C2 in most central (0-5%) collision, along with results from NBD.

Rapidity dependence of normalized C2 in most central (0-5%) collision at Au+Au 19.6 GeV.

Rapidity dependence of normalized C2 in most central (0-5%) collision at Au+Au 200 GeV.

Reference charged particle multiplicity distributions using only pions and kaons ...

Reference charged particle multiplicity distributions using only pions and kaons ...

Reference charged particle multiplicity distributions using only pions and kaons ...

Reference charged particle multiplicity distributions using only pions and kaons ...

Reference charged particle multiplicity distributions using only pions and kaons ...

Reference charged particle multiplicity distributions using only pions and kaons ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$\Delta N_\mathrm{p}$ multiplicity distributions in Au+Au collisions at various $\sqrt{s_\text{NN}}$ for 0-5%, ...

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 62.4 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 62.4 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 62.4 GeV as a function of $N_{part}$.

$C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 62.4 GeV as a function of $N_{part}$.

$\kappa\sigma^2$ as a function of collision energy for Au+Au collisions for 0-5% centrality.

Efficiency uncorrected $C_n$ of net-proton proton and anti-proton multiplicity distribution in Au+Au collisions at $\sqrt{s_\text{NN}}$ = 7.7 - 200 GeV as function of $\left\langle N_\text{part} \right\rangle$.

Efficiencies of proton and anti-proton as a function of $p_\mathrm{T}$ in Au+Au collisions for various $\sqrt{s_\text{NN}}$ and collision centralities.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.

Unfolded net-proton multiplicity distributions for $\sqrt{s_{NN}$ = 200 GeV Au+Au collisions.

Unfolded net-proton multiplicity distributions for $\sqrt{s_{NN}$ = 200 GeV Au+Au collisions.

Unfolded net-proton multiplicity distributions for $\sqrt{s_{NN}$ = 200 GeV Au+Au collisions.

Unfolded net-proton multiplicity distributions for $\sqrt{s_{NN}$ = 200 GeV Au+Au collisions.

Unfolded net-proton multiplicity distributions for $\sqrt{s_{NN}$ = 200 GeV Au+Au collisions.

Unfolded net-proton multiplicity distributions for $\sqrt{s_{NN}$ = 200 GeV Au+Au collisions.

Unfolded net-proton multiplicity distributions for $\sqrt{s_{NN}$ = 200 GeV Au+Au collisions.

Cumulant ratios as a function of $N_{part}$ for net-proton distributions in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV

Cumulant ratios as a function of $N_{part}$ for net-proton distributions in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV

Collision centrality dependence of proton, anti-proton and net-proton cumulants

Cumulants and their ratios as a function of $<N_{part}>$, for the net-proton distribution

Centrality dependence of normalized correlation functions $\kappa_n/$kappa_1$ for proton and anti-proton multiplicity distribution

Rapidity acceptance dependence of cumulants of proton, anti-proton and net-proton multiplicity distributions in 0-5% central Au+Au collision ...

Rapidity acceptance dependence of normalized correlation functions up to fourth order.

Rapidity-acceptance dependence of cumulant ratios of proton, anti-proton and net-proton multiplicity distributions in 0-5% central Au+Au collisions...

pT-acceptance dependence of cumulants of proton, anti-proton and net-proton multiplicity distributions for 0-5% central Au+Au collisions ...

pT-acceptance dependence of the normalized correlation functions up to fourth order ($\kappa_n/\kappa_1$, $n$ = 2, 3, 4) for proton and anti-proton multiplicity distributions in 0-5% central Au+Au collisions ...

pT-acceptance dependence of cumulant ratios of proton, anti-proton and net-proton multiplicity distributions for 0-5% central Au+Au collisions ...

Cumulant ratios from HRG model as a function of collision energy $\sqrt{s_{NN}}$

UrQMD results on pT acceptance dependence for cumulant ratios for proton and baryon

Polynomial fit of cumulant ratios as a function of collision energy $\sqrt{s_{NN}}$

Polynomial fit of cumulant ratios as a function of collision energy $\sqrt{s_{NN}}$

Polynomial fit of cumulant ratios as a function of collision energy $\sqrt{s_{NN}}$

Collision energy dependence of $C_2/C_1$, $C_3/C_2$ and $C_4/C_2$ for net-proton multiplicity distribution in 0-5% central Au+Au collisions. The expreimental net-proton measurements are compared to corresponding values from UrQMD and HRG models within the expreimental acceptances.

Collision energy dependence of $C_2/C_1$, $C_3/C_2$ and $C_4/C_2$ for net-proton multiplicity distribution in 0-5% central Au+Au collisions. The expreimental net-proton measurements are compared to corresponding values from UrQMD and HRG models within the expreimental acceptances.

Collision energy dependence of $C_2/C_1$, $C_3/C_2$ and $C_4/C_2$ for net-proton multiplicity distribution in 0-5% central Au+Au collisions. The expreimental net-proton measurements are compared to corresponding values from UrQMD and HRG models within the expreimental acceptances.

Collision energy dependence of $C_2/C_1$, $C_3/C_2$ and $C_4/C_2$ for net-proton multiplicity distribution in 0-5% central Au+Au collisions. The expreimental net-proton measurements are compared to corresponding values from UrQMD and HRG models within the expreimental acceptances.

Collision energy dependence of $C_2/C_1$, $C_3/C_2$ and $C_4/C_2$ for net-proton multiplicity distribution in 0-5% central Au+Au collisions. The expreimental net-proton measurements are compared to corresponding values from UrQMD and HRG models within the expreimental acceptances.

Collision energy dependence of $C_2/C_1$, $C_3/C_2$ and $C_4/C_2$ for net-proton multiplicity distribution in 0-5% central Au+Au collisions. The expreimental net-proton measurements are compared to corresponding values from UrQMD and HRG models within the expreimental acceptances.

Collision energy dependence of $C_2/C_1$, $C_3/C_2$ and $C_4/C_2$ for net-proton multiplicity distribution in 0-5% central Au+Au collisions. The expreimental net-proton measurements are compared to corresponding values from UrQMD and HRG models within the expreimental acceptances.

Event by event net-proton multiplicity, $\Delta N_{p}$, distributions for Au+Au collisions at √sNN = 27, 54.4, and 200 GeV in 0-10% and 30-40% centralities at midrapidity (|y| < 0.5) for the transverse momentum range of 0.4 < $p_{T}$ (GeV/c) < 2.0. These distributions are normalized by the corresponding numbers of events and are not corrected for detector efficiencies. Statistical uncertainties are shown as vertical lines. The dashed lines show the Skellam distributions for each collision energy and centrality. The bottom panel shows the ratio of the data to the Skellam expectations.

Event by event net-proton multiplicity, $\Delta N_{p}$, distributions for Au+Au collisions at √sNN = 27, 54.4, and 200 GeV in 0-10% and 30-40% centralities at midrapidity (|y| < 0.5) for the transverse momentum range of 0.4 < $p_{T}$ (GeV/c) < 2.0. These distributions are normalized by the corresponding numbers of events and are not corrected for detector efficiencies. Statistical uncertainties are shown as vertical lines. The dashed lines show the Skellam distributions for each collision energy and centrality. The bottom panel shows the ratio of the data to the Skellam expectations.

Event by event net-proton multiplicity, $\Delta N_{p}$, distributions for Au+Au collisions at √sNN = 27, 54.4, and 200 GeV in 0-10% and 30-40% centralities at midrapidity (|y| < 0.5) for the transverse momentum range of 0.4 < $p_{T}$ (GeV/c) < 2.0. These distributions are normalized by the corresponding numbers of events and are not corrected for detector efficiencies. Statistical uncertainties are shown as vertical lines. The dashed lines show the Skellam distributions for each collision energy and centrality. The bottom panel shows the ratio of the data to the Skellam expectations.

Net-proton $C_{6}/C_{2}$ as a function of rapidity (left) and transverse momentum acceptance (right) from $\sqrt{s_{NN}}$ = 27 GeV (crosses), 54.4 (open squares), and 200 GeV (filled circles) Au+Au collisions. The upper and lower plots are for 0-10% and 30-40% centralities, respectively. The error bars are statistical and caps are systematic errors. Points for different beam energies are staggered horizontally to improve clarity. UrQMD transport model results are shown as shaded and hatched bands. The Skellam expectation ($C_{6}/C_{2} = 1) is shown as long-dashed lines.

Net-proton $C_{6}/C_{2}$ as a function of rapidity (left) and transverse momentum acceptance (right) from $\sqrt{s_{NN}}$ = 27 GeV (crosses), 54.4 (open squares), and 200 GeV (filled circles) Au+Au collisions. The upper and lower plots are for 0-10% and 30-40% centralities, respectively. The error bars are statistical and caps are systematic errors. Points for different beam energies are staggered horizontally to improve clarity. UrQMD transport model results are shown as shaded and hatched bands. The Skellam expectation ($C_{6}/C_{2} = 1) is shown as long-dashed lines.

Net-proton $C_{6}/C_{2}$ as a function of rapidity (left) and transverse momentum acceptance (right) from $\sqrt{s_{NN}}$ = 27 GeV (crosses), 54.4 (open squares), and 200 GeV (filled circles) Au+Au collisions. The upper and lower plots are for 0-10% and 30-40% centralities, respectively. The error bars are statistical and caps are systematic errors. Points for different beam energies are staggered horizontally to improve clarity. UrQMD transport model results are shown as shaded and hatched bands. The Skellam expectation ($C_{6}/C_{2} = 1) is shown as long-dashed lines.

Net-proton $C_{6}/C_{2}$ as a function of rapidity (left) and transverse momentum acceptance (right) from $\sqrt{s_{NN}}$ = 27 GeV (crosses), 54.4 (open squares), and 200 GeV (filled circles) Au+Au collisions. The upper and lower plots are for 0-10% and 30-40% centralities, respectively. The error bars are statistical and caps are systematic errors. Points for different beam energies are staggered horizontally to improve clarity. UrQMD transport model results are shown as shaded and hatched bands. The Skellam expectation ($C_{6}/C_{2} = 1) is shown as long-dashed lines.

Net-proton $C_{6}/C_{2}$ as a function of rapidity (left) and transverse momentum acceptance (right) from $\sqrt{s_{NN}}$ = 27 GeV (crosses), 54.4 (open squares), and 200 GeV (filled circles) Au+Au collisions. The upper and lower plots are for 0-10% and 30-40% centralities, respectively. The error bars are statistical and caps are systematic errors. Points for different beam energies are staggered horizontally to improve clarity. UrQMD transport model results are shown as shaded and hatched bands. The Skellam expectation ($C_{6}/C_{2} = 1) is shown as long-dashed lines.

Net-proton $C_{6}/C_{2}$ as a function of rapidity (left) and transverse momentum acceptance (right) from $\sqrt{s_{NN}}$ = 27 GeV (crosses), 54.4 (open squares), and 200 GeV (filled circles) Au+Au collisions. The upper and lower plots are for 0-10% and 30-40% centralities, respectively. The error bars are statistical and caps are systematic errors. Points for different beam energies are staggered horizontally to improve clarity. UrQMD transport model results are shown as shaded and hatched bands. The Skellam expectation ($C_{6}/C_{2} = 1) is shown as long-dashed lines.

Collisions centrality dependence of net-proton $C_{6}/C_{2}$ in Au+Au collisions for |$y$| < 0.5 and 0.4 < $p_{T}$ (GeV/c) < 2.0. The error bars are statistical and caps are systematic errors. Points for different beam energies are staggered horizontally to improve clarity. A shaded band shows the results from UrQMD model calculations. UrQMD calculations from the above three collision energies are consistent among them so they are merged in order to reduce statistical fluctuations. Details on these calculations can be found in the Supplemental Material at [URL will be inserted by publisher]. The lattice QCD calculations [16, 17] for T = 160 MeV and $\mu_{B}$ < 110 MeV. are shown as a blue band at $\langle N_{part}\rangle$ $\approx$ 340.

Collisions centrality dependence of net-proton $C_{6}/C_{2}$ in Au+Au collisions for |$y$| < 0.5 and 0.4 < $p_{T}$ (GeV/c) < 2.0. The error bars are statistical and caps are systematic errors. Points for different beam energies are staggered horizontally to improve clarity. A shaded band shows the results from UrQMD model calculations. UrQMD calculations from the above three collision energies are consistent among them so they are merged in order to reduce statistical fluctuations. Details on these calculations can be found in the Supplemental Material at [URL will be inserted by publisher]. The lattice QCD calculations [16, 17] for T = 160 MeV and $\mu_{B}$ < 110 MeV. are shown as a blue band at $\langle N_{part}\rangle$ $\approx$ 340.

Collisions centrality dependence of net-proton $C_{6}/C_{2}$ in Au+Au collisions for |$y$| < 0.5 and 0.4 < $p_{T}$ (GeV/c) < 2.0. The error bars are statistical and caps are systematic errors. Points for different beam energies are staggered horizontally to improve clarity. A shaded band shows the results from UrQMD model calculations. UrQMD calculations from the above three collision energies are consistent among them so they are merged in order to reduce statistical fluctuations. Details on these calculations can be found in the Supplemental Material at [URL will be inserted by publisher]. The lattice QCD calculations [16, 17] for T = 160 MeV and $\mu_{B}$ < 110 MeV. are shown as a blue band at $\langle N_{part}\rangle$ $\approx$ 340.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Distributions of reconstructed protons (black circles) from embedding simulations in 200 GeV Au+Au collisions at 0-2.5% centrality. Red lines are fits with the binomial distribution, and green dotted lines represent the fit with the beta-binomial distributions using α that gives the minimal chi2/ndf. Each panel shows the result from the given combinations of embedded protons and antiprotons. The ratio of fits to the embedding data is shown for each panel.

Cumulants and their ratios up to the sixth order corrected for non-binomial efficiencies for 200 GeV Au+Au collisions at 0-5% centrality. The CBWC is applied for 2.5% centrality bin width. Results from the conventional efficiency correction are shown as black filled circles, results from the unfolding with the binomial detector response are shown as black open circles, and results from beta-binomial detector response with $\alpha+\sigma$, $\alpha$ and $\alpha-\sigma$ are shown in green triangles, red squares and blue triangles, respectively. C5, C6, C2/C1, C5/C1 and C6/C2 are scaled by constant shown in each column.

Collision centrality dependence of net-proton C6/C2 in Au+Au collisions for $\sqrt{s_{NN}}$ = 200 GeV within |y| < 0.5 and 0.4 < pT (GeV/c) < 2.0. Results with and without the CBWC are overlaid. The results are corrected for detector efficiencies. Points for different calculation methods are staggered horizontally to improve clarity.

Collision centrality dependence of net-proton C6/C2 in Au+Au collisions for $\sqrt{s_{NN}}$ = 27, 54.4, and 200 GeV within |y| < 0.5 and 0.4 < pT (GeV/c) < 2.0. Points for different beam energies are staggered horizontally to improve clarity. Shaded and hatched bands show the results from UrQMD model calculations The lattice QCD calculations [13, 14] for T = 160 MeV and $\mu_{B}$ < 110 MeV. are shown as a blue band at $\langle N_{part}\rangle$ $\approx$ 340.

Distribution for Wide Jet Broadening at c.m. energy 189 GeV.

Distribution for C-Parameter at c.m. energy 189 GeV.

Mean values (first moments) of the 1-THRUST distributions as a function of c.m. energy.

Mean values (first moments) of the Heavy Jet Mass distributions as a function of c.m. energy.

Mean values (first moments) of the Total Jet Broadening distributions as a function of c.m. energy.

Mean values (first moments) of the Wide Jet Broadening distributions as a function of c.m. energy.

Mean values (first moments) of the C-Parameter distributions as a function of c.m. energy.

Dispersion values (second moments) of the 1-THRUST distributions as a function of c.m. energy.

Dispersion values (second moments) of the Heavy Jet Mass distributions as afunction of c.m. energy.

Dispersion values (second moments) of the Total Jet Broadening distributions as a function of c.m. energy.

Dispersion values (second moments) of the Wide Jet Broadening distributionsas a function of c.m. energy.

Dispersion values (second moments) of the C-Parameter distributions as a function of c.m. energy.

Values of the strong coupling constant ALPHA-s at the Z0 mass, from fits tothe first moments of the various event shape distribution.

The strong coupling constant, ALPHA-s, measured at different c.m. energies from a fit to the 1-THRUST distribution. The second DSYS error is the uncertainty in the theory.

The strong coupling constant, ALPHA-s, measured at different c.m. energies from a fit to the Heavy Jet Mass distribution. The second DSYS error is the uncertainty in the theory.

The strong coupling constant, ALPHA-s, measured at different c.m. energies from a fit to the Total Jet Broadening distribution. The second DSYS error is the uncertainty in the theory.

The strong coupling constant, ALPHA-s, measured at different c.m. energies from a fit to the Wide Jet Broadening distribution. The second DSYS error is theuncertainty in the theory.

The strong coupling constant, ALPHA-s, measured at different c.m. energies from a fit to the C-Parameter distribution. The second DSYS error is the uncertainty in the theory.

The strong coupling constant, ALPHA-s, as determined from the combined event shape variables as a function of c.m. energy. The values for c.m. energy belowthe Z0 mass were determined only for four event shape variables.

The spin-density matrix elements obtained from the low Q**2 BPC data set in two Q**2 intervals.

The spin-density matrix elements obtained from the low Q**2 BPC data set in three T intervals.

The spin-density matrix elements obtained from the low Q**2 BPC data set in two region of the 2PI mass from the RHO0 decay.

Correlation matrix for the 15 combinations of spin-density matrix elements obtained from the BPC data.

Correlation matrix for the 15 combinations of spin-density matrix elements obtained from the DIS data.