Discrete symmetries in the cluster shell model
| Autor: | Santana-Valdés, A. H., Bijker, R. |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Eur. Phys. J. Spec. Top. 229, 2353-2366 (2020) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1140/epjst/e2020-000006-0 |
| Popis: | The role of discrete (or point-group) symmetries is discussed in the framework of the Cluster Shell Model which describes the splitting of single-particle levels in the deformed field of cluster potentials. We discuss the classification of the eigenstates for the cases of a triangular and tetrahedral configuration of alpha-particles in terms of the irreducible representations of the double point groups D'(3h) and T'(d), respectively, and show how the discrete symmetry of a given eigenstate can be determined. Finally, we derive the Coriolis coupling for each one of these geometrical configurations. Comment: 13 pages, 5 figures, 4 tables, to be published in EPJ-ST on "Symmetries in Atomic Nuclei. New Perspectives" |
| Databáze: | arXiv |
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