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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 -^12C- 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 ₈^28Ne, 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 ₈^36Si is comparatively weak, and only a slight enhancement of the YN interaction leads to its cluster structure and deformation collapse.
Li et al. (Mon,) studied this question.