An approach of statistical corrections to interactions in hadron resonance gas
Abstract
We propose a new model for hadrons with quantum mechanical attractive and repulsive interactions sensitive to some spatial correlation length parameter inspired by Beth-Uhlenbeck quantum mechanical non-ideal gas model uhlenbeck1937quantum. 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 (μb, r) = (170,0.05), (340,0.1), and (340,0.15), where μb is in MeV and r is in fm. For vanishing chemical potential, the uncorrelated model (r=0), which corresponds to ideal hadron resonance gas model seems to offer the best fit. The quantum hadron correlations seem to be more probable at non-vanishing chemical potentials, especially within the range μb∈ [170, 340~MeV].