[Submitted on 3 Dec 2019]
Alpha Decay to Doubly Magic Core in Quartetting Wave Function Approach
Shuo Yang🇨🇳 · Chang Xu🇨🇳 · Gerd Roepke🇩🇪 · Peter Schuck🇫🇷 · Zhongzhou Ren🇨🇳 · Yasuro Funaki🇯🇵 · Hisashi Horiuchi🇯🇵 · Akihiro Tohsaki🇯🇵 · Taiichi Yamada🇯🇵 · Bo Zhou🇯🇵
We present a microscopic calculation of -cluster formation in heavy nuclei Te (+Sn), Po (+Pb) and their neighbors Sn, Te, Pb and Po by using the quartetting wave function approach. Improving the local density approximation, the shell structure of the core nucleus is considered, and the center-of-mass (c.o.m.) effective potential for the quartet is obtained self-consistently from the shell model wavefunctions. The -cluster formation and decay probabilities are obtained by solving the bound-state of the c.o.m. motion of the quartet and the scattering state of the formed -cluster in the Gurvitz approach. Striking shell effects on the -cluster formation probabilities are analyzed for magic numbers 50, 82 and 126. The computed -decay half-lives of these special nuclei are compared with the newest experimental data.
- Comments:
- 16 pages, 4 figures
- Subjects:
- Nuclear Theory (nucl-th)
- arXiv:
- 1912.01151 [pdf]