Effects of $\text{la}$ hyperons on the deformations of even-even nuclei

Abstract

The deformations of multi-$\text{la}$ hypernuclei corresponding to even-even core nuclei ranging from ${}^8$Be to ${}^{40}$Ca with 2, 4, 6, and 8 hyperons are studied in the framework of the deformed Skyrme-Hartree-Fock approach. It is found that the deformations are reduced when adding 2 or 8 $\text{la}$ hyperons, but enhanced when adding 4 or 6 $\text{la}$ hyperons. These differences are attributed to the fact that $\text{la}$ hyperons are filled gradually into the three deformed $p$ orbits, of which the [110]1/2${}^{-}$ orbit is prolately deformed and the degenerate [101]1/2${}^{-}$ and [101]3/2${}^{-}$ orbits are oblately deformed.