The sixth order cumulant of net-proton number in Binomial distribution at $\sqrt{s_{NN}}=$ 200 GeV

Abstract

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 both in theoretical Lattice QCD and experiments at $\sqrt{s_{NN}}=$ 200 GeV. In this study, we investigate the behavior of net-proton $C_6/C_2$ in statistical Binomial distribution (BD) at $\sqrt{s_{NN}}=$ 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.

8 pages, 6 figures

References in corpus (6)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• Net-baryon number fluctuations in (2+1)-flavor QCD
• Baseline for the cumulants of net-proton distributions at STAR
• Measurement of the ratio of the sixth order to the second order cumulant of net-proton multiplicity distributions in relativistic heavy-ion collisions
• Influence of statistics on the measured moments of conserved quantities in relativistic heavy ion collisions

Cited by in corpus (1)

• Dynamical development of proton cumulants and correlation functions in Au+Au collisions at $\sqrt{s_{NN}}=7.7$ GeV from a multiphase transport model