Modeling baryonic interactions with the Clausius-type equation of state

TL;DR

This paper introduces a Clausius-type equation of state to model baryonic interactions, fitting parameters to nuclear properties and comparing predictions with lattice QCD data, improving understanding of high-temperature hadron gas behavior.

Contribution

It extends the Clausius equation of state to baryon interactions in the hadron resonance gas and links nuclear matter properties with lattice QCD results.

Findings

Clausius-HRG model matches lattice QCD data at small chemical potentials.

Improved nuclear incompressibility leads to better data description.

Model provides insights into the crossover transition region.

Abstract

The quantum statistical Clausius-based equation of state is used to describe the 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.