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Quantum van der Waals and Walecka models of nuclear matter

R. V. Poberezhnyuk

http://orcid.org/0000-0002-5559-3718

Bogolyubov Institute for Theoretical Physics, 03680 Kiev, Ukraine

E-mail Address: rpoberezhnyuk@gmail.com

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V. Vovchenko

Institut für Theoretische Physik, Goethe Universität Frankfurt, D-60438 Frankfurt am Main, Germany

Frankfurt Institute for Advanced Studies, Giersch Science Center, D-60438 Frankfurt am Main, Germany

Department of Physics, Taras Shevchenko National University of Kiev, 03022 Kiev, Ukraine

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D. V. Anchishkin

Bogolyubov Institute for Theoretical Physics, 03680 Kiev, Ukraine

Frankfurt Institute for Advanced Studies, Giersch Science Center, D-60438 Frankfurt am Main, Germany

Department of Physics, Taras Shevchenko National University of Kiev, 03022 Kiev, Ukraine

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, and

M. I. Gorenstein

Bogolyubov Institute for Theoretical Physics, 03680 Kiev, Ukraine

Frankfurt Institute for Advanced Studies, Giersch Science Center, D-60438 Frankfurt am Main, Germany

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https://doi.org/10.1142/S0218301317500616Cited by:16 (Source: Crossref)

Abstract

A comparable study of the quantum van der Waals (QvdW) and Walecka models of nuclear matter is presented. Each model contains two parameters which characterize the repulsive and attractive interactions between nucleons. These parameters are fixed in order to reproduce the known properties of the nuclear ground state. Both models predict a first-order liquid-gas phase transition and a very similar behavior in the vicinity of the critical point. Critical exponents of the QvdW model are studied both analytically and numerically. There are important differences in the behavior of the thermodynamical functions of the considered models at large values of the nucleon number density. At the same time, both models fall into the universality class of mean-field theory.

Keywords:

PACS: 15.75.Ag, 24.10.Pq

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