A hybrid-chiral soliton model with broken scale invariance for nuclear matter

TL;DR

This paper introduces a hybrid chiral soliton model incorporating broken scale invariance to better describe nuclear matter at finite densities, extending the density range beyond traditional models.

Contribution

The model combines quark interactions with chiral fields and a logarithmic potential, enabling higher density predictions compared to the Linear-sigma model.

Findings

Can reach densities up to approximately 3 rho_0 for m_sigma=1200 MeV

Provides soliton solutions in vacuum and at finite density using Wigner-Seitz approximation

Extends the applicability of chiral models to higher nuclear matter densities

Abstract

We present a model for describing nuclear matter at finite density based on quarks interacting with chiral fields, sigma and pion. The chiral Lagrangian also includes a logarithmic potential, associated with the breaking of scale invariance. We provide results for the soliton in vacuum and at finite density, using the Wigner-Seitz approximation. We show that the model can reach higher densities respect to the Linear-sigma model, up to approximately 3 rho_0 for m_sigma=1200 MeV.