Study of Ξ^- hypernuclei in the Skyrme–Hartree–Fock approach

The properties of Ξ^- hypernuclei are studied systematically using a two-dimensional Skyrme–Hartree–Fock approach combined with three different ΞN Skyrme forces fitted to reproduce the existing data. We explore the impurity effect of a single Ξ^- hyperon on the radii, deformations, and density distributions of the nuclear core and point out qualitative differences between the different forces. We find that the Ξ^- removal energy of Ξp13B [¹²C(g.s.)+Ξ^-(1p)] calculated by the SLX3 force is 0.7 MeV, which is in good agreement with a possible value of 0.82±0.17MeV from the KEK E176 experiment. The theoretical prediction for this weakly bound state depends strongly on the deformation of the nuclear core, which is analyzed in detail.