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Title: Criticality of the net-baryon number probability distribution at finite density
Authors: Morita, Kenji
Friman, Bengt
Redlich, Krzysztof
Author's alias: 森田, 健司
Keywords: Chiral phase transition
Conserved charge fluctuations
Probability distribution
Heavy ion collisions
Issue Date: Feb-2015
Publisher: Elsevier B.V.
Journal title: Physics Letters B
Volume: 741
Start page: 178
End page: 183
Abstract: We compute the probability distribution P(N) of the net-baryon number at finite temperature and quark-chemical potential, μ , at a physical value of the pion mass in the quark-meson model within the functional renormalization group scheme. For μ/T<1, the model exhibits the chiral crossover transition which belongs to the universality class of the O(4) spin system in three dimensions. We explore the influence of the chiral crossover transition on the properties of the net baryon number probability distribution, P(N). By considering ratios of P(N) to the Skellam function, with the same mean and variance, we unravel the characteristic features of the distribution that are related to O(4) criticality at the chiral crossover transition. We explore the corresponding ratios for data obtained at RHIC by the STAR Collaboration and discuss their implications. We also examine O(4) criticality in the context of binomial and negative-binomial distributions for the net proton number.
Rights: © 2014 The Authors. Published by Elsevier B.V.
This is an open access article under the CC BY license ( Funded by SCOAP3.
DOI(Published Version): 10.1016/j.physletb.2014.12.037
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