Influences of statistics and initial size fluctuation on high-order cumulants of conserved quantities in relativistic heavy ion collisions

Abstract

By the generator of the UrQMD model, event statistics for the products of kurtosis ($\kappa$) and variance (${\sigma }^2$) of net-proton and net-charge multiplicity distributions are carefully studied. It is shown that the statistics at RHIC/BES below $\sqrt{s_{NN}}<19.6$ GeV are not sufficient for using the method of Centrality Bin Width Correction (CBWC). Corresponding results are systematically underestimated. A way to improve the CBWC method is proposed. It can remove the statistics dependence of the data and reduce the initial size fluctuation as well.

6 pages, 5 figures

References in corpus (9)

• Glauber Modeling in High Energy Nuclear Collisions
• Energy Dependence of Moments of Net-proton Multiplicity Distributions at RHIC
• Probing freeze-out conditions in heavy ion collisions with moments of charge fluctuations
• Scale for the Phase Diagram of Quantum Chromodynamics
• Freeze-out Conditions in Heavy Ion Collisions from QCD Thermodynamics
• Volume fluctuations and higher order cumulants of the net baryon number
• Measurement of the Bottom contribution to non-photonic electron production in $p+p$ collisions at $\sqrt{s}$=200 GeV
• Beam-Energy and System-Size Dependence of Dynamical Net Charge Fluctuations
• Baseline study for higher moments of net-charge distribution at RHIC energies

Cited by in corpus (2)

• Measurement of the ratio of the sixth order to the second order cumulant of net-proton multiplicity distributions in relativistic heavy-ion collisions
• The sixth order cumulant of net-proton number in Binomial distribution at $\sqrt{s_{NN}}=$ 200 GeV