Highest weight SU(3) irreducible representations for nuclei with shape coexistence
Nuclear Theory
2019-12-25 v1
Abstract
The SU(3) irreducible representations (irreps) are characterised by the (lambda, mu) Elliott quantum numbers, which are necessary for the extraction of the nuclear deformation, the energy spectrum and the transition probabilities. These irreps can be calculated through a code which requires high computational power. In the following text a hand-writing method is presented for the calculation of the highest weight (h.w.) irreps, using two different sets of magic numbers, namely proxy-SU(3) and three-dimensional isotropic harmonic oscillator.
Keywords
Cite
@article{arxiv.1810.11870,
title = {Highest weight SU(3) irreducible representations for nuclei with shape coexistence},
author = {A. Martinou and D. Bonatsos and N. Minkov and I. E. Assimakis and S. Sarantopoulou and S. Peroulis},
journal= {arXiv preprint arXiv:1810.11870},
year = {2019}
}
Comments
11 pages, 6 figures, to appear in Nuclear Theory '37, Proceedings of the 37th International Workshop on Nuclear Theory (Rila 2018), ed. M. Gaidarov and N. Minkov