`$f_0 (600)$' and chiral dynamics

TL;DR

This paper investigates the role of the light scalar meson $f_0(600)$ in nuclear matter using an effective chiral model, determining its mass range and analyzing the matter's properties at various densities.

Contribution

It provides a new estimate of the scalar meson mass and explores its effects on nuclear matter properties within a chiral effective model.

Findings

Scalar meson mass estimated at 546 ± 10 MeV

Nuclear matter favors high nucleon effective mass

Repulsive forces dominate at high density

Abstract

The role of light scalar meson `$f_0 (600)$' is investigated in nuclear matter in an Effective chiral model in the mean-field approach. For the purpose, we scan the properties of the matter at various saturation densities imposing constraint such as the vacuum value of the pion decay constant $f_{\pi} \approx 131 ~MeV$. With a simple approach, the bound on the mass of the scalar meson is calculated and found in the range $m_{\sigma} = 546 \pm 10 MeV$. Further, the present analysis show that nuclear matter favor high nucleon effective mass and dominant repulsive forces at high density, the insight and the implications of which are discussed.