https://doi.org/10.1140/epja/i2018-12399-3
Regular Article - Theoretical Physics
Modeling baryonic interactions with the Clausius-type equation of state
1
Institut für Theoretische Physik, Goethe Universität Frankfurt, D-60438, Frankfurt am Main, Germany
2
Frankfurt Institute for Advanced Studies, D-60438, Frankfurt am Main, Germany
3
Department of Physics, Taras Shevchenko National University of Kiev, 03022, Kiev, Ukraine
4
Bogolyubov Institute for Theoretical Physics, 03680, Kiev, Ukraine
5
GSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291, Darmstadt, Germany
* e-mail: mark.gorenstein@gmail.com
Received:
13
July
2017
Accepted:
27
September
2017
Published online:
19
February
2018
The quantum-statistical Clausius-based equation of state is used to describe a system of interacting nucleons. The interaction parameters a, b, and c of the model are fixed by the empirically known nuclear ground-state properties and nuclear incompressibility modulus. The model is generalized to describe the baryon-baryon interactions in the hadron resonance gas (HRG). The predictions of such a Clausius-HRG model are confronted with the lattice QCD data at zero and at small chemical potentials, and are also contrasted with the standard van der Waals approach. It is found that the behavior of the lattice QCD observables in a high-temperature hadron gas is sensitive to the nuclear matter properties. An improved description of the nuclear incompressibility factor correlates with an improved description of the lattice QCD data in the crossover transition region.
© SIF, Springer-Verlag GmbH Germany, part of Springer Nature, 2018