The sixth order cumulant of net-proton number in Binomial distribution at √sNN=200 GeV

摘要

It is proposed that ratios of the sixth order to the second order cumulant (C-6/C-2) of conserved quantities are sensitive to the chiral crossover transition. Recently, the negative C-6/C-2 was obtained in both theoretical Lattice QCD and experiments at root s(NN) = 200 GeV. In this study, we investigate the behavior of net-proton C-6/C-2 in statistical Binomial distribution (BD) at root s(NN) = 200 GeV in Au + Au collisions. With the BD parameters extracted from RHIC/STAR, it is found that C-6/C-2 can be negative. Furthermore, the obtained C-6/C-2 becomes smaller when applying the same magnitude of experimental statistics and calculation method to simulations. In 0-10% centrality, there is a significant difference between the simulated result and theoretical expectation. Based on the extracted parameters and experimentally collected statistics, the baseline of net-proton C-6/C-2 in BD is presented.

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