Comparison of different relativistic models applied to dense nuclear matter

Abstract

We explore three different classes of relativistic approaches applied to the description of dense nuclear matter: a Walecka-type relativistic mean field model (RMF), an extension including an effective chiral potential (RMF-C) and a further extension with a chiral potential and confinement effects (RMF-CC). The parameters of the latter are controlled by fundamental properties such as the chiral potential, Lattice-QCD predictions, the quark sub-structure, as well as empirical properties at nuclear matter saturation. While these models are calibrated to the same properties at saturation density, they differ in their predictions as the density increases. We take care of parameter uncertainties and propagate them to our predictions for symmetric nuclear matter by employing Bayesian statistics. We show that RMF and RMF-C share common features as the density increases, while RMF-CC behaves differently. For instance, the scalar field at $6n_{\text{sat}}$ reaches $\sim 20$ MeV for RMF-CC while it is larger than $\sim 70$ MeV for RMF and RMF-C. Interestingly, we also show that, by fixing the $\rho$ coupling constant from the quark structure of the nucleon, these three models reproduce only half of the empirical symmetry energy.

18 pages, 11 figures

References in corpus (13)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• A NICER View of the Massive Pulsar PSR J0740+6620 Informed by Radio Timing and XMM-Newton Spectroscopy
• Refined Mass and Geometric Measurements of the High-Mass PSR J0740+6620
• Challenges in QCD matter physics - The Compressed Baryonic Matter experiment at FAIR
• Sound velocity bound and neutron stars
• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• The Radius of PSR J0740+6620 from NICER and XMM-Newton Data
• Relativistic Chiral Hartree-Fock description of nuclear matter with constraints from nucleon structure and confinement
• QCD susceptibilities and nuclear matter saturation in a chiral theory: inclusion of pion loops
• Constraints on nuclear matter properties from QCD susceptibilities
• Scalar field in nuclear matter: the roles of spontaneous chiral symmetry breaking and nucleon structure
• Contribution of the rho meson and quark sub-structure to the nuclear spin-orbit potential

Cited by in corpus (4)

• Perturbative QCD and the Neutron Star Equation of State
• Relativistic Hartree-Fock Chiral Lagrangians with confinement, nucleon finite size and short-range effects
• Bubble dynamics in the Polyakov quark-meson model
• From QCD phenomenology to nuclear physics phenomenology: the chiral confining model