Abstract
The preformation probabilities of an cluster inside radioactive parent nuclei for both odd-even and odd-odd nuclei are investigated. The calculations cover the isotopic chains from Ir to Ac in the mass regions and . The calculations are employed in the framework of the density-dependent cluster model. A realistic density-dependent nucleon-nucleon interaction with a finite-range exchange part is used to calculate the microscopic -nucleus potential in the well-established double-folding model. The main effect of antisymmetrization under exchange of nucleons between the and daughter nuclei has been included in the folding model through the finite-range exchange part of the interaction. The calculated potential is then implemented to find both the assault frequency and the penetration probability of the particle by means of the Wentzel-Kramers-Brillouin approximation in combination with the Bohr-Sommerfeld quantization condition. The correlation of the -particle preformation probability and the neutron and proton level sequences of the parent nucleus as obtained in our previous work is extended to odd-even and odd-odd nuclei to determine the nuclear spin and parities. Two spin coupling rules are used, namely, strong and weak rules to determine the nuclear spin for odd-odd isotopes. This work can be a useful reference for theoretical calculation of undetermined nuclear spin of odd-odd nuclei in the future.
- Received 1 November 2015
- Revised 3 April 2016
DOI:https://doi.org/10.1103/PhysRevC.93.054618
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