Abstract
A shell-model method for calculating Gamow-Teller (GT) transition rates in heavy deformed odd-mass nuclei is presented. The method is developed within the framework of the projected shell model. To implement the computation requirement when many multi-quasiparticle configurations are included in the basis, a numerical advancement based on the Pfaffian formula is introduced. With this new many-body technique, it becomes feasible to perform state-by-state calculations for the GT nuclear matrix elements of -decay and electron-capture processes, including those at high excitation energies in heavy nuclei which are usually deformed. The first results, decays of the well-deformed neutron-rich nuclei, are shown as the example. The known data corresponding to the ) decay rates of the ground state of to the low-lying states of are well described. It is further shown that the (GT) distributions can have a strong dependence on the detailed microscopic structure of relevant states of both the parent and daughter nuclei.
- Received 21 December 2017
DOI:https://doi.org/10.1103/PhysRevC.97.044302
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