Relativistic Mean Field Calculations of $\Lambda $ and $\Sigma $ Hypernuclei

Abstract

Single--particle spectra of $\Lambda $ and $\Sigma $ hypernuclei are calculated within a relativistic mean--field theory. The hyperon couplings used are compatible with the $\Lambda $ binding in saturated nuclear matter, neutron-star masses and experimental data on $\Lambda $ levels in hypernuclei. Special attention is devoted to the spin-orbit potential for the hyperons and the influence of the $\rho $-meson field (isospin dependent interaction).