Shell model method for Gamow-Teller Transitions in heavy, deformed nuclei
Abstract
A method for calculation of Gamow-Teller transition rates is developed by using the concept of the Projected Shell Model (PSM). The shell model basis is constructed by superimposing angular-momentum-projected multi-quasiparticle configurations, and nuclear wave functions are obtained by digonalizing the two-body interactions in these projected states. Calculation of transition matrix elements in the PSM framework is discussed in detail, and the effects caused by the Gamow-Teller residual forces and by configuration-mixing are studied. With this method, it may become possible to perform a state-by-state calculation for beta-decay and electron-capture rates in heavy, deformed nuclei at finite temperatures. Our first example indicates that, while experimentally known Gamow-Teller transition rates from the ground state of the parent nucleus are reproduced, stronger transitions from some low-lying excited states are predicted to occur, which may considerably enhance the total decay rates once these nuclei are exposed to hot stellar environments.
Cite
@article{arxiv.nucl-th/0609074,
title = {Shell model method for Gamow-Teller Transitions in heavy, deformed nuclei},
author = {Zao-Chun Gao and Yang Sun and Y. -S. Chen},
journal= {arXiv preprint arXiv:nucl-th/0609074},
year = {2008}
}
Comments
11 pages, 8 figures