Equation of state and sound velocity of hadronic gas with hard-core interaction

Abstract

Thermodynamic properties of hot and dense hadronic systems with a hard-sphere interaction are calculated in the Boltzmann approximation. Two parametrizations of pressure as a function of density are considered: the first one, used in the excluded volume model and the second one, suggested earlier by Carnahan and Starling. The results are given for one-component systems containing only nucleons or pions, as well as for chemically equilibrated mixtures of pions, nucleons and delta resonances. It is shown that the Carnahan-Starling approach can be used in a much broader range of hadronic densities as compared to the excluded volume model. In this case superluminal sound velocities appear only at very high densities, in the region where the deconfinement effects should be already important.

arXiv comment28 pages, 12 figures

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• New scenarios for hard-core interactions in a hadron resonance gas
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• Modelling Hybrid Stars in Quark-Hadron Approaches
• Quantum van der Waals and Walecka models of nuclear matter
• Monte Carlo approach to the excluded-volume hadron resonance gas in grand canonical and canonical ensembles
• Phase transitions and Bose-Einstein condensation in alpha-nucleon matter
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• Second virial coefficients of light nuclear clusters and their chemical freeze-out in nuclear collisions
• Resolution of hyper-triton chemical freeze-out puzzle in high energy nuclear collisions