Impurity effects of the Λ hyperon in the hypernuclear systems²⁵Λmg²⁹Λ Si

Based on the beyond-mean-field Skyrme Hartree Fock model, impurity effects of the Λ hyperon in the hypernuclear systems L 25 Mg and L 29 Si are investigated, respectively. Four cases, in which the Λ hyperon occupies the single-particle orbitals L[000]1+2 , L[110] 1-2, L[101] 3-2 and L[101] 1-2,are focused. In each case, the potential energysurface 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 sΛ orbital, it is found that the Λ hyperon on the pΛ orbital, L[110] 1-2, drives the nuclear core toward a prolate shape, while theones on the other two pΛ orbitals, L[101] 3-2 and L[101] 1-2, 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..