Repulsive interactions and their effects on the thermodynamics of hadron gas

Abstract

We compare two approaches in modeling repulsive interactions among hadrons: the excluded volume approximation and the S-matrix formalism. These are applied to study the thermodynamics of the $\pi N\Delta$ system. It is shown that the introduction of an extraneous repulsion between pions and nucleons via the excluded volume approach, in addition to the interaction that generates the $\Delta$-resonance, is incompatible with the analysis based on the physical phase shift of pion-nucleon scattering in the $P_{33}$ channel. This finding suggests that the repulsive force between hadrons is interaction-channel dependent and is hence unlikely to be captured by a single phenomenological parameter. The S-matrix approach employed here can be used, however, to provide useful estimates of the magnitude of the effective eigenvolume.

6 pages, 2 figures, submitted to phys. rev. c

References in corpus (3)

• Matching Excluded Volume Hadron Resonance Gas Models and Perturbative QCD to Lattice Calculations
• New scenarios for hard-core interactions in a hadron resonance gas
• Particle number fluctuations in nuclear collisions within excluded volume hadron gas model

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