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Constructing probability density function of net-proton multiplicity distributions using Pearson curve method

2017/06/30 by N. K. Behera, Nirbhay Kumar Behera, M. J. Kweon +1 · 3 citations
Mathematics · Physics and Astronomy · #Beam (structure) #Beam energy #Computational physics #Criticality #Cumulant #High-Energy Particle Collisions Research #Mathematical analysis #Mathematics #Multiplicity (mathematics) #Negative binomial distribution #Nuclear physics #Optics #Particle physics theoretical and experimental studies #Physics #Poisson distribution #Probability density function #Proton #Quantum Chromodynamics and Particle Interactions #Statistical physics #Statistics #hep-ex #hep-ph #nucl-ex #nucl-th

paper · pdf · doi:10.1140/epja/s10050-022-00696-9

published in The European Physical Journal A 58(3) (Springer Science+Business Media) · 10 pages, 7 figures, text modified (published version)

openalex publication_date 2022/03/01 · arxiv created 2022/03/10 · arxiv updated 2022/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The probability density functions of proton, anti-proton, and net-proton multiplicity distributions are constructed from the Beam Energy Scan results of the STAR experiment using the Pearson curve method. The constructed distributions of proton and anti-proton are compared with Poisson and Binomial distributions. The net-proton probability distributions are compared with Skellam distributions to study the O(4) criticality near the chiral crossover transition. The C6/C2 results estimated from the obtained PDFs are compared with Skellam and Binomial baselines for the Beam Energy Scan data. The current study shows some signatures of O(4) criticality, which can be further investigated by precision measurements of the cumulants and understanding the contribution of non-critical fluctuations to them. This study also provides a baseline for the higher-order cumulant measurement in the upcoming RHIC BES II program and future LHC run.

Citations