Modeling baryonic interactions with the Clausius-type equation of state

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.

8 pages, 3 figures, submitted to EPJ A Topical Issue on "Frontiers in nuclear, heavy ion and strong field physics" dedicated to Walter Greiner

References in corpus (7)

• Big-Bang Nucleosynthesis
• The equation of state in (2+1)-flavor QCD
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• Incompressibility in finite nuclei and nuclear matter
• Van der Waals Equation of State with Fermi Statistics for Nuclear Matter
• Multicomponent van der Waals equation of state: Applications in nuclear and hadronic physics

Cited by in corpus (9)

• Thermal-FIST: A package for heavy-ion collisions and hadronic equation of state
• Hadron resonance gas with van der Waals interactions
• Density-dependent van der Waals model under the GW170817 constraint
• Light nuclei in the hadron resonance gas
• Constraints and correlations of nuclear matter parameters from a density-dependent van der Waals model
• Transverse Momentum Spectra of Pions at LHC Energies
• Collision Energy Dependence of Particle Ratios and Freeze-out Parameters in Ultra Relativistic Nucleus Nucleus Collisions
• Particle Yields and Ratios within Equilibrium and Non-Equilibrium Statistics
• Recent astrophysical observations reproduced by a short-range correlated van der Waals-type model?