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arXiv 1306.6187nucl-th
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双中微子双β衰变费米跃迁与双核子相互作用

Two-neutrino double-beta decay Fermi transition and two-nucleon interaction

Dusan Stefanik, Fedor Simkovic, Kazuo Muto, Amand Faessler

摘要:

本文考虑一个描述费米型双中微子双β衰变跃迁的精确可解模型。利用微扰理论,假定SO(5)群生成元表示的哈密顿量的同位旋对称性弱破坏,得到了双中微子双β衰变矩阵元与类核子配对、粒子-粒子和粒子-空穴质子-中子相互作用的显式依赖关系。结果表明,通过中间核的单态,双β衰变跃迁占优势。然后,提出并讨论了一个连接Delta Z=2核的能量加权求和规则。这一求和规则可以用来研究核哈密顿量的剩余相互作用。

英文摘要:

An exactly solvable model for a description of the two-neutrino double beta decay transition of the Fermi type is considered. By using perturbation theory an explicit dependence of the two-neutrino double beta decay matrix element on the like-nucleon pairing, particle-particle and particle-hole proton-neutron interactions by assuming a weak violation of isospin symmetry of Hamiltonian expressed with generators of the SO(5) group. It is found that there is a dominance of double beta decay transition through a single state of the intermediate nucleus. Then, an energy weighted sum rule connecting Delta Z=2 nuclei is presented and discussed. It is suggested that this sum rule can be exploited to study the residual interactions of the nuclear Hamiltonian.

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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