https://doi.org/10.1051/epjconf/202431100028
The Algebraic Cluster Model (8Be, 12C) and the Cluster Shell Model (13C, 7Be, 19F, 8Be)
LNS at Avery Point, Univ. of Connecticut, Dept. of Physics, 1084 Shennecossett Rd, Groton, CT 06340, USA
* email: moshe.gai@uconn.edu, web: https://astro.uconn.edu
Published online: 28 October 2024
Bijker and Iachello’s algebraic cluster model (ACM) and its extension to the cluster shell model (CSM), provides a new theoretical platform for the study of alpha-clustering in light nuclei. It led to the discovery of the D3h symmetry in 12C and 20Ne, with the discovery in 12C of a new g.s. rotational band with the spin sequence of, 0+, 2+, 3-, 4+/4- and 5-, including the predicted 4+ and 4- parity doublet. Applications of the CSM shell model to particle molecular orbits in 9Be and 13C (C2’ and D3h’ particle symmetries, respectively), lead us to conjecture molecular hole states in 7Be and 19F. We observe in these nuclei the predicted phenomenological structure. And we further consider conjectured p-h states in 8Be with the predicted phenomenological p-h structure of rotational band at high excitations of approximately 20 MeV. A search for these rotational band in 8Be was performed at ISOLDE.
© The Authors, published by EDP Sciences, 2024
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