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.

28 pages, 12 figures

References in corpus (3)

• The QCD transition temperature: results with physical masses in the continuum limit II.
• An effective chiral Hadron-Quark Equation of State
• The Van-der-Waals Gas EOS for the Lorentz Contracted Spheres

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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