Mixed-Symmetry Shell-Model Calculations
摘要
The one-dimensional harmonic oscillator in a box problem is used to introduce the concept of an oblique-basis shell-model theory. The method is applied to nuclei by combining traditional spherical shell-model states with SU(3) collective configurations. An application to Mg, using the realistic two-body interaction of Wildenthal, is used to explore the validity of this oblique-basis, mixed-symmetry shell-model concept. The applicability of the theory to the lower pf-shell nuclei Ti and Cr using the Kuo-Brown-3 interaction is also discussed. While these nuclei show strong SU(3) symmetry breaking due mainly to the single-particle spin-orbit splitting, they continue to yield enhanced B(E2) values not unlike those expected if the symmetry were not broken. Other alternative basis sets are considered for future oblique-basis shell-model calculations. The results suggest that an oblique-basis, mixed-symmetry shell-model theory may prove to be useful in situations where competing degrees of freedom dominate the dynamics.
引用
@article{arxiv.nucl-th/0210034,
title = {Mixed-Symmetry Shell-Model Calculations},
author = {V. G. Gueorguiev and J. P. Draayer},
journal= {arXiv preprint arXiv:nucl-th/0210034},
year = {2007}
}
备注
4 pages, 6 figures, iopart style, talk presented at the XXIV International Colloquium on Group Theoretical Methods in Physics in Paris, France, July 15-20, 2002