Geometric symmetries in light nuclei

Abstract

The algebraic cluster model is is applied to study cluster states in the nuclei 12C and 16O. The observed level sequences 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.

4 pages, 2 figures, 2 tables, invited talk Cluster '16, Napels, Italy, to be published in J. Phys. Conf. Ser

References in corpus (5)

• Structure and rotations of the Hoyle state
• Evidence for Triangular D_3h Symmetry in 12C
• Unambiguous Identification of the Second 2+ State in 12C and the Structure of the Hoyle State
• Evidence for tetrahedral symmetry in 16O
• Hoyle state and rotational features in Carbon-12 within a no-core shell model framework