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arXiv · 2101.12133

A Semimicroscopic Algebraic Cluster Model for Heavy Nuclei

Peter O. Hess·Leonardo J. Chavez-Nuñez
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Abstract

An extension of the Semimicroscopic Algebraic Cluster Model (SACM) is proposed, based on the pseudo-SU(3) model. The Hamiltonian and the spectroscopic factor operator of the model are presented and a procedure of constructing the model space. Because a huge number of SU(3) irreducible representations (irrep) appear, one has to be careful in designing a practical, consistent path to reduce the Hilbert space. The concept of forbiddenness, taking into account excitations of the clusters, is introduced and applied. The applications are to two systems with a low forbiddenness, namely to 236U -> 210Pb + 26Ne and 224Ra -> 210Pb + 14C, and to 236U -> 146Xe + 90Sr, which appears in the fission of 236U, which requires a large forbiddenness. Energies, electromagnetic transitions and spectroscopic factors are calculated.

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Peter O. Hess, Leonardo J. Chavez-Nuñez. 2021-01-28. A Semimicroscopic Algebraic Cluster Model for Heavy Nuclei. https://doi.org/10.1140/epja%2Fs10050-021-00460-5

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