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.

24 pages, 8 figures

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• Deformation of Lambda hypernuclei
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Cited by in corpus (9)

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• Beyond-mean-field study of the hyperon impurity effect in hypernuclei with shape coexistence
• Disappearance of nuclear deformation in hypernuclei: a perspective from a beyond-mean-field study
• Low-lying level structure of $\Lambda$ hypernuclei and spin dependence of $\Lambda N$ interaction with antisymmetrized molecular dynamics
• Experimental techniques and performance of $\Lambda$-hypernuclear spectroscopy with the $(e,e^{\prime }{K}^{+})$ reaction
• Three-body resonant states of ${}_{\Lambda }^9$Be with $\alpha +\alpha +\Lambda$ cluster model
• Sensitivity of Λ single-particle energies to the ΛN spin-orbit coupling and to nuclear core structure in p-shell and sd-shell hypernuclei
• Effect of a realistic three-body force on the spectra of medium-mass hypernuclei