DENSE HADRONIC MATTER AND FINITE NUCLEI IN AN RMF MODEL WITH A CHIRAL POTENTIAL

Abstract

In constructing the dense matter equation of state (EOS), it is desired to respect both chiral symmetry and hypernuclear physics. In dense matter, strangeness is expected to play a decisive role and the partial restoration of chiral symmetry would modify the hadron properties. For chiral symmetry side, We have recently developed a chiral SU(2) symmetric RMF model with logarithmic sigma potential derived in the strong coupling limit (SCL) of the lattice QCD. In this SCL model, we can describe not only symmetric nuclear matter but also bulk properties of finite nuclei. We find that the EOS of symmetric matter is softened by the scalar meson with hidden strangeness, which couples with sigma meson through the determinant interaction. In this paper, we present this RMF model including chiral SU(3) potential and its results. We discuss the importance of hyperon in neutron star in this chiral SU(3) RMF model and show an effect to nuclear star maximum mass by introducing this potential. We also inquire the effect of meson-meson-baryon coupling which is corresponding to density dependent couplings.