Relativistic Mean Field Calculations of $Λ$ and $Σ$ Hypernuclei

Abstract

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