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Superdeformed $Λ$ hypernuclei with antisymmetrized molecular dynamics

The response to the addition of a $Λ$ hyperon is investigated for the deformed states such as superdeformation in $^{41}_Λ$Ca, $^{46}_Λ$Sc and $^{48}_Λ$Sc. In the present study, we use the antisymmetrized molecular dynamics (AMD) model. It is pointed out that many kinds of deformed bands appear in $^{45}$Sc and $^{47}$Sc. Especially, it is found that there exists superdeformed states in $^{45}$Sc. By the addition of a $Λ$ particle to $^{40}$Ca, $^{45}$Sc and $^{47}$Sc, it is predicted, for the first time, that the superdeformed states exist in the hypernuclei $^{41}_Λ$Ca and $^{46}_Λ$Sc. The manifestation of the dependence of the $Λ$-separation energy on nuclear deformation such as spherical, normal deformation and superdeformation is shown in the energy spectra of $^{41}_Λ$Ca, $^{46}_Λ$Sc and $^{48}_Λ$Sc hypernuclei.