Finite-Size Scaling of Non-Gaussian Fluctuations Near the QCD Critical Point

2016/06/26 by R. Lacey, Lacey, Roy A., Peifeng Liu +7 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High-Energy Particle Collisions Research #Markov Chains and Monte Carlo Methods #Nuclear Experiment (nucl-ex) #Nuclear Theory (nucl-th) #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1606.08071

openalex publication_date 2016/06/26 · openalex created_date 2016/07/22 · openalex updated_date 2026/07/28

Abstract

An effective Finite-Size Scaling (FSS) of moment products from recent STAR measurements of the variance σ, skewness S and kurtosis κ of net-proton multiplicity distributions, are reported for a broad range of collision centralities in Au+Au (√s_NN= 7.7 - 200 GeV) collisions. The products Sσ and κσ² , which are directly related to the hgher-order baryon number susceptibility ratios χ⁽³⁾_B/χ⁽²⁾_B and χ⁽⁴⁾_B/χ⁽²⁾_B, show scaling patterns consistent with earlier indications for a second order phase transition at a critical end point (CEP) in the plane of temperature vs. baryon chemical potential (T,μ_B) of the QCD phase diagram. The resulting scaling functions validate the earlier estimates of T^cep ∼ 165 MeV and μ_B^cep ∼ 95 MeV for the location of the CEP, and the critical exponents used to assign its 3D Ising model universality class.

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