Study of $^{44}$Ti in a Mixed--Symmetry Basis
Abstract
The structure of Ti is studied in an oblique-basis that includes spherical and SU(3) shell-model basis states. The results show that the oblique-basis concept is applicable, even though the strong spin-orbit interaction, which breaks the SU(3) symmetry, generates significant splitting of the single-particle levels. Specifically, a model space that includes a few SU(3) irreducible representations (irreps), namely, the leading (12,0) and next to the leading (10,1) irreps -- including spin S=0 and 1 configurations of the latter, plus spherical shell-model configurations (SSMC) that have at least two valence nucleons confined to the orbit -- the SM(2) case, yield results that are comparable to SSMC with at least one valence nucleon confined to the orbit -- the SM(3) case.
Cite
@article{arxiv.nucl-th/0305054,
title = {Study of $^{44}$Ti in a Mixed--Symmetry Basis},
author = {V. G. Gueorguiev and J. P. Draayer and W. E. Ormand and C. W. Johnson},
journal= {arXiv preprint arXiv:nucl-th/0305054},
year = {2007}
}
Comments
10 pages, 6 figures