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arXiv 1406.0923nucl-thhep-phnucl-ex
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双中微子双$β$衰变半衰期的系统律

Systematic Law for Half-lives of Double $β$-decay with Two Neutrinos

Yuejiao Ren, Zhongzhou Ren

摘要:

核双$β$ -双中微子衰变是不稳定核天然放射性的一个罕见而重要的过程。本文分析了双中微子核双$β^{-}$衰变的实验数据,提出了一个计算这一稀有过程半衰期的系统规律。这是第一个分析和简单的双$β$衰变半衰期公式,其中库仑势和原子核结构的主导效应都包括在内。系统定律表明,半衰期的平方与母核与子核之间的基态跃迁的衰变能成反比。计算的半衰期与所有已知的11个核的实验数据一致,平均因子为3.06。预测了其他可能的双$β$衰变候选者与两个中微子的半衰期,这些可以是有用的,为未来的实验。在不引入任何额外调整的情况下,将该定律推广到从母核基态到子核第一$0^+$激发态的双$β$ -衰变半衰期的计算中,计算结果与已有数据符合得很好.一些计算的半衰期是从母核基态到子核第一$0^+$激发态的双$β$ -衰变半衰期的首次理论结果。分析讨论了$α$ -衰变规律与双$β^{-}$ -衰变规律的异同。

英文摘要:

Nuclear double $β$-decay with two neutrinos is a rare and important process for natural radioactivity of unstable nuclei. The experimental data of nuclear double $β^{-}$-decay with two neutrinos are analyzed and a systematic law to calculate the half-lives of this rare process is proposed. It is the first analytical and simple formula for double $β$-decay half-lives where the leading effect from both the Coulomb potential and nuclear structure is included. The systematic law shows that the logarithms of the half-lives are inversely proportional to the decay energies for the ground state transitions between parent nuclei and daughter nuclei. The calculated half-lives are in agreement with the experimental data of all known eleven nuclei with an average factor of 3.06. The half-lives of other possible double $β$-decay candidates with two neutrinos are predicted and these can be useful for future experiments. The law, without introducing any extra adjustment, is also generalized to the calculations of double $β$-decay half-lives from the ground states of parent nuclei to the first $0^+$ excited states of daughter nuclei and the calculated half-lives agree very well with the available data. Some calculated half-lives are the first theoretical results of double $β$-decay half-lives from the ground states of parent nuclei to the first $0^+$ excited states of daughter nuclei. The similarity and difference between the law of $α$-decay and that of double $β^{-}$-decay are also analyzed and discussed.

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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