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We report a systematic measurement of cumulants, $C_{n}$, for net-proton, proton and antiproton multiplicity distributions, and correlation functions, $\kappa_n$, for proton and antiproton multiplicity distributions up to the fourth order in Au+Au collisions at $\sqrt{s_{\mathrm {NN}}}$ = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4 and 200 GeV. The $C_{n}$ and $\kappa_n$ are presented as a function of collision energy, centrality and kinematic acceptance in rapidity, $y$, and transverse momentum, $p_{T}$. The data were taken during the first phase of the Beam Energy Scan (BES) program (2010 -- 2017) at the BNL Relativistic Heavy Ion Collider (RHIC) facility. The measurements are carried out at midrapidity ($|y| <$ 0.5) and transverse momentum 0.4 $<$$p_{\rm T}$$<$ 2.0 GeV/$c$, using the STAR detector at RHIC. We observe a non-monotonic energy dependence ($\sqrt{s_{\mathrm {NN}}}$ = 7.7 -- 62.4 GeV) of the net-proton $C_{4}$/$C_{2}$ with the significance of 3.1$\sigma$ for the 0-5% central Au+Au collisions. This is consistent with the expectations of critical fluctuations in a QCD-inspired model. Thermal and transport model calculations show a monotonic variation with $\sqrt{s_{\mathrm {NN}}}$. For the multiparticle correlation functions, we observe significant negative values for a two-particle correlation function, $\kappa_2$, of protons and antiprotons, which are mainly due to the effects of baryon number conservation. Furthermore, it is found that the four-particle correlation function, $\kappa_4$, of protons plays a role in determining the energy dependence of proton $C_4/C_1$ below 19.6 GeV, which cannot be understood by the effect of baryon number conservation.
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 ...
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.
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