Clusterization and localization of multi- Λ hyperisotopes

The influence of hyperons on localized clusters is studied in deformed nuclei Ne20 and Si28 and the spherical nucleus Ca40 by employing the deformed Skyrme-Hartree-Fock approach and the localization function. It is found that hyperons in the p state initially tend to occupy the orbitals with shapes similar to that of the core nucleus. The nucleus Ne20 exhibits a robust prolate configuration characterized by an α-12C-α cluster, while Si28 displays a less pronounced oblate ringlike cluster. A spherical shell-like cluster structure is possessed by the nucleus Ca40, and this spherical shape is also maintained in its hyperisotopes. For 8Λ28Ne, the cluster structure retains sufficient strength to maintain its prolate shape even with an enhanced hyperon-nucleon (YN) interaction. In contrast, the cluster structure of Si8Λ36 is comparatively weak, and only a slight enhancement of the YN interaction leads to its cluster structure and deformation collapse.