The structure of rotational bands in alpha-cluster nuclei

In this contribution, I discuss an algebraic treatment of alpha-cluster nuclei based on the introduction of a spectrum generating algebra for the relative motion of the alpha-clusters. Particular attention is paid to the discrete symmetry of the geometric arrangement of the alpha-particles, and the consequences for the structure of the rotational bands in the 12C and 16O nuclei.Comment: 3 pages, 3 figures, invited talk, CGS15, Dresden, August 25-29, 201

Symmetries and order in cluster nuclei

It is shown that the rotational band structure of the cluster states in 12C and 16O can be understood in terms of the underlying discrete symmetry that characterizes the geometrical configuration of the alpha-particles, i.e. an equilateral triangle for 12C, and a regular tetrahedron for 16O. The structure of rotational bands provides a fingerprint of the underlying geometrical configuration of alpha-particles. Finally, some first results are presented for odd-cluster nuclei.Comment: Invited talk at Symmetries and Order: Algebraic Methods in Many-Body Systems, October 5-6, 2018, Yale University. 8 pages, 3 figures, 3 tables, to be published in AIP Conf. Proc. (2019