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arXiv 1912.01151nucl-th
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Alpha Decay到四分之一波函数方法中的双魔核

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

摘要:

本文用四重化波函数方法对重核$^{104}$ Te($α$ + $^{100}$ Sn),$^{212}$ Po($α$ + $^{208}$ Pb)及其近邻$^{102}$ Sn,$^{102}$ Te,$^{210}$ Pb和$^{210}$ Po的$α$ -团簇形成进行了微观计算.在改进局域密度近似的基础上,考虑了核的壳结构,计算了核的质心。从壳模型波函数自洽地得到了四重态的有效势。通过求解c.o.m.的束缚态,得到了$α$ -团簇形成和衰变几率.四重态的运动和所形成的$α$ -簇的散射态。对幻数50、82和126分析了撞击壳对$α$ -团簇形成概率的影响。计算的这些特殊核的$α$衰变半衰期与最新的实验数据进行了比较。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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