Clusterization and localization of multi- Λ hyperisotopes

The influence of hyperons on localized clusters is studied in deformed nuclei ²⁰Ne and ²⁸Si and the spherical nucleus ⁴⁰Ca 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 ²⁰Ne exhibits a robust prolate configuration characterized by an α-¹²C-α cluster, while ²⁸Si displays a less pronounced oblate ringlike cluster. A spherical shell-like cluster structure is possessed by the nucleus ⁴⁰Ca, 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 _8Λ³⁶Si is comparatively weak, and only a slight enhancement of the $YN$ interaction leads to its cluster structure and deformation collapse.