Relativistic nuclear matter equation of state in fractional exclusion statistics approach

Physics – High Energy Physics – High Energy Physics - Phenomenology

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14 pages, 4 figures

Scientific paper

We apply the fractional exclusion statistics (FES) to the quantum hadrodynamics model (QHM). The FES typically describes in an effective way the remanent interaction between the constituent particles. We determine the phenomenological parameters of the QHM with FES from the conditions at the saturation point of the symmetric nuclear matter, independent of the exclusion statistics parameter, $\alpha$. We calculate the relevant physical quantities of the system, e.g. the effective mass of the nucleons and its dependence on the baryon density, temperature, and $\alpha$. We also calculate the isothermal curves (pressure vs. baryonic density) for different temperatures and $\alpha$s. We observe that in the region of phase transition the isotherms do not depend much on the exclusion statistics parameter, but a strong dependence on $\alpha$ is observed at higher densities or at higher temperatures.

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