Study of - hypernuclei in the Skyrme-Hartree-Fock approach
Abstract
The properties of - hypernuclei are studied systematically using a two-dimensional Skyrme-Hartree-Fock approach combined with three different N Skyrme forces fitted to reproduce the existing data. We explore the impurity effect of a single - 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 - removal energy of 0.10em13 pB [12C(g.s.)+ -(1p)] calculated by the SLX3 force is 0.7 MeV, which is in good agreement with a possible value of 0.820.17\;MeV 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.
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