# Effects of centrality fluctuation and deuteron formation on the proton number cumulant in Au+Au collisions at ${ \sqrt {{{ s}_{{{NN}}}}}\; }$ = 3 GeV from the JAM model

• We studied the effects of centrality fluctuation and deuteron formation on the cumulant ($C_n$) and correlation functions ($\kappa_n$) of protons up to the sixth order in the most central ($b$< 3 fm) Au+Au collisions at $\sqrt {{s_{{{NN}}}}}\;$= 3 GeV in a microscopic transport model (JAM). The results are presented as a function of rapidity acceptance within the transverse momentum 0.4 < pT < 2 GeV/c. We compared the results obtained by the centrality bin width correction (CBWC) using charged reference particle multiplicities with the CBWC using impact parameter bins. It was found that, at low energies, the centrality resolution for determining the collision centrality using charged particle multiplicities is not sufficient to reduce the initial volume fluctuation effect for higher-order cumulant analysis. New methods need to be developed to classify events with high centrality resolution for heavy-ion collisions at low energies. Finally, we observed that the formation of deuterons suppresses the higher-order cumulants and correlation functions of protons and found it to be similar to the efficiency effect. This work can serve as a noncritical baseline for the QCD critical point search in the high baryon density region.

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Arghya Chatterjee, Yu Zhang, Hui Liu, Ruiqin Wang, Shu He and Xiaofeng Luo. Effects of centrality fluctuation and deuteron formation on proton number cumulant in Au+Au collisions at ${ \sqrt {{{\mathit{\boldsymbol{s}}}_{{{\mathit{\boldsymbol{NN}}}}}}}\; }$ = 3 GeV from JAM model[J]. Chinese Physics C. doi: 10.1088/1674-1137/abf427
Arghya Chatterjee, Yu Zhang, Hui Liu, Ruiqin Wang, Shu He and Xiaofeng Luo. Effects of centrality fluctuation and deuteron formation on proton number cumulant in Au+Au collisions at ${ \sqrt {{{\mathit{\boldsymbol{s}}}_{{{\mathit{\boldsymbol{NN}}}}}}}\; }$ = 3 GeV from JAM model[J]. Chinese Physics C.
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沈阳化工大学材料科学与工程学院 沈阳 110142

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## Effects of centrality fluctuation and deuteron formation on the proton number cumulant in Au+Au collisions at ${ \sqrt {{{ s}_{{{NN}}}}}\; }$ = 3 GeV from the JAM model

###### Corresponding author: Xiaofeng Luo, xfluo@ccnu.edu.cn
• Key Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China

Abstract: We studied the effects of centrality fluctuation and deuteron formation on the cumulant ($C_n$) and correlation functions ($\kappa_n$) of protons up to the sixth order in the most central ($b$< 3 fm) Au+Au collisions at $\sqrt {{s_{{{NN}}}}}\;$= 3 GeV in a microscopic transport model (JAM). The results are presented as a function of rapidity acceptance within the transverse momentum 0.4 < pT < 2 GeV/c. We compared the results obtained by the centrality bin width correction (CBWC) using charged reference particle multiplicities with the CBWC using impact parameter bins. It was found that, at low energies, the centrality resolution for determining the collision centrality using charged particle multiplicities is not sufficient to reduce the initial volume fluctuation effect for higher-order cumulant analysis. New methods need to be developed to classify events with high centrality resolution for heavy-ion collisions at low energies. Finally, we observed that the formation of deuterons suppresses the higher-order cumulants and correlation functions of protons and found it to be similar to the efficiency effect. This work can serve as a noncritical baseline for the QCD critical point search in the high baryon density region.

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