Λhypernuclei and neutron star matter in a chiral SU(3) relativistic mean field model with a logarithmic potential

Abstract

We develop a chiral SU($3$) symmetric relativistic mean field model with a logarithmic potential of scalar condensates. Experimental and empirical data of symmetric nuclear matter saturation properties, bulk properties of normal nuclei, and separation energies of single- and double-$\ensuremath{\Lambda}$ hypernuclei are well explained. The nuclear matter equation of state (EOS) is found to be softened by $\ensuremath{\sigma}\ensuremath{\zeta}$ mixing which comes from determinant interaction. The neutron star matter EOS is further softened by $\ensuremath{\Lambda}$ hyperons.