2020/11/10 by Mahmoud Hanafy, Hanafy, Mahmoud, Muhammad Maher +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2011.04941
openalex publication_date 2020/11/10 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
We propose a new model for hadrons with quantum mechanical attractive and\nrepulsive interactions sensitive to some spatial correlation length parameter\ninspired by Beth-Uhlenbeck quantum mechanical non-ideal gas model\n citeuhlenbeck1937quantum. We confront the thermodynamics calculated using\nour model with a corresponding recent lattice data at four different values of\nthe baryon chemical potential, \μ_ mathttb= 0, 170, 340, 425~MeV over\ntemperatures ranging from 130 MeV to 200~MeV and for five values for the\ncorrelation length ranging from 0 to 0.2~fm. For equilibrium temperatures\nup to the vicinity of the chiral phase transition temperature \≃ 160~MeV,\na decent fitting between the model and the lattice data is observed for\ndifferent values of r, especially at (\μ_ mathttb, r) = (170,0.05),\n(340,0.1), and (340,0.15), where \μ_ mathttb is in MeV and r is in\nfm. For vanishing chemical potential, the uncorrelated model (r=0), which\ncorresponds to ideal hadron resonance gas model seems to offer the best fit.\nThe quantum hadron correlations seem to be more probable at non-vanishing\nchemical potentials, especially within the range \μ_ mathttb\∈ [170,\n340~MeV].\n