Equations of state for real gases on the nuclear scale

Volodymyr Vovchenko
Phys. Rev. C 96, 015206 – Published 24 July 2017

Abstract

The formalism to augment the classical models of the equation of state for real gases with quantum statistical effects is presented. It allows an arbitrary excluded volume procedure to model repulsive interactions, and an arbitrary density-dependent mean field to model attractive interactions. Variations on the excluded volume mechanism include van der Waals (VDW) and Carnahan-Starling models, while the mean fields are based on VDW, Redlich-Kwong-Soave, Peng-Robinson, and Clausius equations of state. The VDW parameters of the nucleon-nucleon interaction are fitted in each model to the properties of the ground state of nuclear matter, and the following range of values is obtained: a=330430MeVfm3 and b=2.54.4fm3. In the context of the excluded volume approach, the fits to the nuclear ground state disfavor the values of the effective hard-core radius of a nucleon significantly smaller than 0.5fm, at least for the nuclear matter region of the phase diagram. Modifications to the standard VDW repulsion and attraction terms allow one to improve significantly the value of the nuclear incompressibility factor K0, bringing it closer to empirical estimates. The generalization to include the baryon-baryon interactions into the hadron resonance gas model is performed. The behavior of the baryon-related lattice QCD observables at zero chemical potential is shown to be strongly correlated to the nuclear matter properties: an improved description of the nuclear incompressibility also yields an improved description of the lattice data at μ=0.

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  • Received 27 January 2017
  • Revised 12 June 2017

DOI:https://doi.org/10.1103/PhysRevC.96.015206

©2017 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsNuclear Physics

Authors & Affiliations

Volodymyr Vovchenko

  • Institut für Theoretische Physik, Goethe Universität Frankfurt, D-60438 Frankfurt am Main, Germany; Frankfurt Institute for Advanced Studies, Goethe Universität Frankfurt, D-60438 Frankfurt am Main, Germany; and Department of Physics, Taras Shevchenko National University of Kiev, 03022 Kiev, Ukraine

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Vol. 96, Iss. 1 — July 2017

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