Systematics of the the Σ/sup minus/, Σ0 and Σ+ hypernuclear single particle states

Local density dependent Hartree-Fock potentials in analogy with the Λ0 hypernuclear single particle state description by Millener, Dover and Gal were employed to investigate the systematics of the Σ hypernuclear single particle states. Both charge and isospin dependent (Lane potential) one-body potentials were used to describe the Σ-, Σ0 and Σ+ single particle (s.p.) states for Σ hypernuclei in the mass range 6-40 with core-nucleus isospin T/sub c/ = 1/2. Due to the smaller magnitude of the Σ-nucleus potential the coulomb effects are dominant, especially for nuclei towards A = 40, while the isospin dependent potential has strong effect for the lighter nuclei due to the A-1 dependence of the Lane potential. 11 refs., 1 fig., 1 tab