Superdeformed $\Lambda$ hypernuclei with antisymmetrized molecular dynamics

Abstract

The response to the addition of a $\Lambda$ hyperon is investigated for the deformed states such as superdeformation in ${}_{\Lambda }^{41}$Ca, ${}_{\Lambda }^{46}$Sc and ${}_{\Lambda }^{48}$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 $\Lambda$ particle to ${}^{40}$Ca, ${}^{45}$Sc and ${}^{47}$Sc, it is predicted, for the first time, that the superdeformed states exist in the hypernuclei ${}_{\Lambda }^{41}$Ca and ${}_{\Lambda }^{46}$Sc. The manifestation of the dependence of the $\Lambda$-separation energy on nuclear deformation such as spherical, normal deformation and superdeformation is shown in the energy spectra of ${}_{\Lambda }^{41}$Ca, ${}_{\Lambda }^{46}$Sc and ${}_{\Lambda }^{48}$Sc hypernuclei.

Comments: 24 pages, 8 figures