Comparison of different relativistic models applied to dense nuclear matter

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(sat) reaches similar to 20 MeV for RMF-CC while it is larger than similar to 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.

Automated summary

This article explores three different classes of relativistic approaches for dense nuclear matter and addresses parameter uncertainties. The results show that the predictions of these models differ as density increases, and that only half of the empirical symmetry energy can be reproduced by these three models.