Superdeformed states in hypernuclei with antisymmetrized molecular dynamics

One of the main purposes of hypernuclear physics is to reveal the responses to the addition of a $\Lambda$ particle in (hyper)nuclei. Recently, as an example of such responses, several authors investigated the difference of B$_{\Lambda}$ between the spherical (ground) and largely deformed (superdeformed) states. For example, the relativistic mean-field (RMF) calculations predicted the large B$_{\Lambda}$ in the superdeformed states in several $\Lambda $ hypernuclei such as $^{37}_{\Lambda}$Ar and $^{39}_{\Lambda}$Ar [1]. On the other hand, in $^{41}_{\Lambda}$Ca and $^{46}_{\Lambda}$Sc, it was discussed that B$_{\Lambda}$ in the spherical states is larger than that in the superdeformed states based on the antisymmetrized molecular dynamics (AMD) [2]. In the present study, we have applied the AMD to Ar $\Lambda $ hypernuclei to reveal the difference of B$_{\Lambda}$ between the spherical and superdeformed states. Especially, we will focus on $^{39}_{\Lambda}$Ar as well as $^{37}_{\Lambda}$Ar, because it would be possible to produce $^{39}_{\Lambda}$Ar by the JLab experiments. In this talk, we will show the difference of B$_{\Lambda}$ in Ar hypernuclei and compare it with the previous AMD results and RMF predictions. Furthermore, we will predict the changes of the excitation spectra in $^{39}_{\Lambda}$Ar due to the difference of B$_{\Lambda}$.\\[4pt] [1] B.-N. Lu, \textit{et al.}, Phys. Rev. C\textbf{89}, 044307(2014).\\[0pt] [2] M. Isaka, \textit{et al.}, Phys. Rev. C\textbf{89}, 024310(2014).