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arXiv · 2004.07872

Discrete symmetries in the cluster shell model

A. H. Santana-Valdés·R. Bijker
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Abstract

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.

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A. H. Santana-Valdés, R. Bijker. 2020-04-16. Discrete symmetries in the cluster shell model. https://doi.org/10.1140/epjst%2Fe2020-000006-0

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