Mixed Symmetry Nuclear Shell Model
Abstract
A mixed-symmetry nuclear shell-model scheme for carrying out calculations in regimes where there is a competition between two or more modes is proposed. A one-dimensional toy model is used to demonstrate the concept. The theory is then applied to and . For lower pf-shell nuclei such as and there is strong SU(3) symmetry breaking due to the spin-orbit interaction. However, the quadrupole collectivity as measured by B(E2) transition strengths in the yrast band remain high even though SU(3) appears to be broken. Some results for the so-called X(5) symmetry that falls along the U(5) SU(3) leg of the Interacting Boson Model are also considered. The results show that the mixed-symmetry concept is effective, even when strong symmetry breaking occurs.
Cite
@article{arxiv.nucl-th/0311094,
title = {Mixed Symmetry Nuclear Shell Model},
author = {J. P. Draayer and V. G. Gueorguiev and Feng Pan and Yanan Luo},
journal= {arXiv preprint arXiv:nucl-th/0311094},
year = {2007}
}
Comments
23 pages, 12pt article style, 14 figures, talk presented at the XV International School on Nuclear Physics, Neutron Physics and Nuclear Energy, September 9 - 13, 2003, Varna, Bulgaria