Relativistic Mean-field Approach for ∧, Ξ and ∑ Hypernuclei

Single ∧, Ξ, and ∑ hypernuclei are systematically studied within the framework of relativistic mean-field (RMF) model with YN interactions being constrained according to the experimental data and previous theoretical efforts. By adding a hyperon to ¹⁶O, the mean-field potentials and single-particle levels for hyperons (∧, Ξ^0,-, and ∑^+,0,-) are compared and the impurity effects on the nuclear core are examined. In general, the ∧ and ∑⁰ hyperons show similar behaviors in bulk properties since both of them are electroneutral and with similar coupling constants; Ξ⁰ hyperon owns the shallowest mean-field potential well; and Coulomb interactions play vital roles in the charged Ξ^-, ∑^-, and ∑⁺ hyperons. As an impurity, the intruded single-hyperon makes the nuclear system more bound in most cases due to the attractive NY interaction. However, very different effects on the nucleon radii are observed for different hyperons. Besides, the effects of the ωYY tensor couplings on the spin-orbit splitting are discussed, and remarkable influences are found which even change the level ordering of Ξ hyperon.