Comprehensive study of mass modifications of light mesons in nuclear matter in the three-flavor extended Linear Sigma Model

TL;DR

This study investigates how light meson masses change in nuclear matter using advanced theoretical models, revealing that most mesons decrease in mass at finite density, with implications for understanding nuclear interactions.

Contribution

It provides a comprehensive analysis of meson mass modifications in nuclear matter using the extended Linear Sigma Model and Parity Doublet Model, highlighting the density dependence and the role of chiral invariant mass.

Findings

Most scalar and axial-vector mesons decrease in mass at finite density.

The density dependence of $ ho$ and $ ext{omega}$ meson masses depends on the chiral invariant mass.

Results favor a chiral invariant mass of approximately 0.8 GeV.

Abstract

We present a comprehensive study of mass modifications of scalar, pseudo-scalar, vector, and axial-vector mesons in nuclear matter using the three-flavor extended Linear Sigma Model (eLSM) and the two-flavor Parity Doublet Model (PDM). The meson masses in nuclear matter are determined by calculating the one-loop nucleon corrections to the meson mean fields. As a result, we find all spin-$0$ meson masses except those of the pion, kaon, and the lightest scalar-isoscalar mesons decrease at finite baryon density. For spin-$1$ mesons, masses of all axial-vector mesons decrease in medium, and the density dependences of the $\rho$ and $\omega$ meson masses strongly depend on the value of chiral invariant mass ($M_0$). Also, our results suggest $M_0\approx0.8\, {\rm GeV}$ is preferable.