Discrete symmetries in the cluster shell model
Nuclear Theory
2020-12-02 v1 Nuclear Experiment
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.
Keywords
Cite
@article{arxiv.2004.07872,
title = {Discrete symmetries in the cluster shell model},
author = {A. H. Santana-Valdés and R. Bijker},
journal= {arXiv preprint arXiv:2004.07872},
year = {2020}
}
Comments
13 pages, 5 figures, 4 tables, to be published in EPJ-ST on "Symmetries in Atomic Nuclei. New Perspectives"