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

We develop a chiral SU(3) symmetric relativistic mean field (RMF) 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-$\mathrm{\Lambda }$ hypernuclei are well explained. The nuclear matter equation of state (EOS) is found to be softened by $\sigma \zeta$ mixing which comes from determinant interaction. The neutron star matter EOS is further softened by $\mathrm{\Lambda }$ hyperons.