Clusterization and deformation of multi-$\Lambda$ hypernuclei within relativistic mean-field model

Abstract

Deformed multi-$\Lambda$ hypernuclei are studied within a relativistic mean-field model. In this paper, we take some $N=Z$ "hyper isotope" chains, i.e., ${}_{n\Lambda }^{8+n}\mathrm{Be}$, ${}_{n\Lambda }^{20+n}\mathrm{Ne}$, and ${}_{n\Lambda }^{28+n}\mathrm{Si}$ systems where $n=2$, $4$ for Be, and $n=2$, $8$ for Ne and Si. A sign of two-${}_{2\Lambda }^6$He cluster structure is observed in the two-body correlation in ${}_{4\Lambda }^{12}$Be. In the Ne hyper isotopes, the deformation is slightly reduced by addition of $\Lambda$ hyperons whereas it is significantly reduced or even disappears in the Si hyper isotopes.

Comments: 9 pages, 7 figures, to be submitted to Physical Review C