2020/04/16 by Álvaro Valdés, A. H. Santana-Valdés, R. Bijker
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Cluster (spacecraft) #Computer science #Coupling (piping) #Discrete symmetry #Eigenvalues and eigenvectors #Geometry #Group (periodic table) #High-pressure geophysics and materials #Homogeneous space #Irreducible representation #Mathematics #Mechanics #Nuclear physics research studies #Physics #Point (geometry) #Point group #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Rotational symmetry #Shell (structure) #Symmetry (geometry) #Tetrahedral symmetry #Tetrahedron #Theoretical physics #nucl-ex #nucl-th
paper · pdf · doi:10.1140/epjst/e2020-000006-0
published as Eur. Phys. J. Spec. Top. 229, 2353-2366 (2020) · 13 pages, 5 figures, 4 tables, to be published in EPJ-ST on "Symmetries in Atomic Nuclei. New Perspectives"
arxiv created 2020/04/16 · openalex created_date 2020/04/24 · openalex publication_date 2020/10/01 · arxiv updated 2020/12/02 · openalex updated_date 2026/08/05
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.