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Dr. Mahmoud Hanafy Mahmoud Mohamed Nassar :: Publications:

An Approach of Statistical Corrections to Interactions in Hadron Resonance Gas
Authors: Mahmoud Hanafy 1 Mahmoud Hanafy 1 Mahmoud Hanafy and Muhammad Maher2
Year: 2021
Keywords: Not Available
Journal: Advances in High Energy Physics
Volume: 2021
Issue: 2021
Pages: 6660872
Publisher: Hindawi
Local/International: International
Paper Link:
Full paper Mahmoud Hanafy Mahmoud Mohamed Nassar_statisticalthemordyamics_advances.pdf
Supplementary materials Not Available

We propose a new model for hadrons with quantum mechanical attractive and repulsive interactions sensitive to some spatial correlation length parameter inspired by the Beth-Uhlenbeck quantum mechanical nonideal gas model (Uhlenbeck and Beth, 1937). We confront the thermodynamics calculated using our model with a corresponding recent lattice data at four different values of the baryon chemical potential, μb = 0, 170, 340, 425 MeV over temperatures ranging from 130 MeV to 200 MeV and for five values for the correlation length ranging from 0 to 0.2 fm. For equilibrium temperatures up to the vicinity of the chiral phase transition temperature ≃160 MeV, a decent fitting between the model and the lattice data is observed for different values of r, especially at ðμb , rÞ = ð170, 0:05Þ, ð340, 0:1Þ, and ð340, 0:15Þ, where μb is in MeV and r is in fm. For the vanishing chemical potential, the uncorrelated model ðr = 0Þ, which corresponds to the ideal hadron resonance gas model, seems to offer the best fit. The quantum hadron correlations seem to be more probable at nonvanishing chemical potentials, especially within the range μb ∈ 1⁄2170, 340 MeV.

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