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An almost-entirely precise empirical estimation for various chemical potentials

2020/03/03 by Hayam Yassin, Yassin, Hayam, Eman R. Abo Elyazeed +3
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.48550/arxiv.2003.02675

15 pages, 3 eps figures, 13 tables, submitted to INJP

arxiv created 2020/03/03 · openalex publication_date 2020/03/03 · arxiv updated 2020/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The transverse momentum spectra of the well-identified produced particles, π+, π-, K+, K-, p, p, Ks0, Λ, Λ, Ξ-, and Ξ+ are analyzed in a statistical approach. From the partition function of grand-canonical ensemble, we propose a generic expression for the dependence of the generic chemical potential μ on the rapidity y. Then, by fitting this expression to the experimental results on the most central p and d2 N/2 πp\bot dp\bot dy, at energies ranging from 7.7 to 200~GeV, we have introduced a generic expression for the rapidity dependence of μ, at different energies, namely μ=a+b y2, where a and b is constants. We find that the resulting energy dependence √s_\mathttNN=c[(μ-a)/b]d/2 agrees well with the statistical thermal models. We also present precise estimations of various types of chemical potentials, μB, μS, and μQ, the baryon, the strangeness, and the charge chemical potential, respectively.

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