Impurity effects of the Λ hyperon in the hypernuclear systems Λ25Mg and Λ29Si

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Based on the beyond-mean-field Skyrme-Hartree-Fock model,impurity effects of the Λ hyperon in the hypernuclear systems Λ25Mg and Λ29Si are investigated,respectively.Four cases,in which the Λ hyperon occupies the single-particle orbitals Λ[000]1/2+,Λ[110]1/2-,Λ[101]3/2-and Λ[101]1/2-,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 sΛ orbital,it is found that theΛ hyperon on the pΛ orbital,Λ[110]1/2-,drives the nuclear core toward a prolate shape,while the ones on the other two pΛ orbitals,Λ[101]3/2-and Λ[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.
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