`$f_0 (600)$' and chiral dynamics

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.