Impurity effects of the Λ hyperon in the hypernuclear systems and

Abstract

Based on the beyond-mean-field Skyrme–Hartree–Fock model, impurity effects of the Λ hyperon in the hypernuclear systems Mg and Si are investigated, respectively. Four cases, in which the Λ hyperon occupies the single-particle orbitals [000], [110], [101] and [101], are focused. In each case, the potential energy surface and the energy curves projected on certain angular momenta are employed to show the influence of the Λ hyperon on the nuclear core. Beside the shrinkage effect that is induced by the Λ hyperon occupying the s Λ orbital, it is found that the Λ hyperon on the p Λ orbital, [110], drives the nuclear core toward a prolate shape, while the ones on the other two p Λ orbitals, [101] and [101], drive the nuclear core toward an oblate shape. The energy spectra and the corresponding intra-band E2 transition rates for the rotational bands are given as a prediction for future experiments.