A Semimicroscopic Algebraic Cluster Model for Heavy Nuclei
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.
Cite
@article{arxiv.2101.12133,
title = {A Semimicroscopic Algebraic Cluster Model for Heavy Nuclei},
author = {Peter O. Hess and Leonardo J. Chavez-Nuñez},
journal= {arXiv preprint arXiv:2101.12133},
year = {2021}
}
Comments
16 pages, 2 times 2 figures. arXiv admin note: text overlap with arXiv:1706.00067