ΛΛ pairing effects in multi-Λ hyperisotopes within a Skyrme-Hartree-Fock model

Abstract

The ΛΛ pairing effects are investigated in multi-Λ hyperisotopes with the Skyrme-Hartree-Fock approach. The shell closure of hyperon occurrs at −S = 2, 8, 18, 20, 34, 58, 68, as well as 70 in spherical hypernuclei, which are attributed from the Λ hyperon potential being close to theWoods-Saxon potential. The more possible Λ hyperon magic numbers −S = 4, 6, 10, 14, 26, 30, and 32 in deformed hypernuclei are found based on the analysis of the single-particle energy levels, and are all sensitive to the quadrupole deformation parameter β2.