Abstract
Simulating the one-particle spectra of the infinite-well potential by a model, we study the symmetry and the shell-structure of octupole deformations as well as the possible occurrence of octupole (and quadrupole) instabilities. Among various types of octupole deformations investigated theY 32-type deformation is found to have a strong shell-structure as well as a very interesting symmetry which leads to the occurrence of highly-degenerate single-particle levels. One particle spectra of the octupole-coupled two-level model (withl andl + 3) are analytically studied in the limit of large angular-momentum,l.
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Hamamoto, I., Mottelson, B., Xie, H. et al. Shell-structure and octupole instability in fermion systems. Z Phys D - Atoms, Molecules and Clusters 21, 163–175 (1991). https://doi.org/10.1007/BF01425595
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DOI: https://doi.org/10.1007/BF01425595