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arXiv · 1912.01151

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
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Abstract

We present a microscopic calculation of $α$-cluster formation in heavy nuclei $^{104}$Te ($α$+$^{100}$Sn), $^{212}$Po ($α$+$^{208}$Pb) and their neighbors $^{102}$Sn, $^{102}$Te, $^{210}$Pb and $^{210}$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 $α$-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 $α$-cluster in the Gurvitz approach. Striking shell effects on the $α$-cluster formation probabilities are analyzed for magic numbers 50, 82 and 126. The computed $α$-decay half-lives of these special nuclei are compared with the newest experimental data.

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Shuo Yang, Chang Xu, Gerd Roepke, Peter Schuck, Zhongzhou Ren, Yasuro Funaki, Hisashi Horiuchi, Akihiro Tohsaki, Taiichi Yamada, Bo Zhou. 2019-12-03. Alpha Decay to Doubly Magic Core in Quartetting Wave Function Approach. https://doi.org/10.1103/physrevc.101.024316

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