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arXiv 1503.01515nucl-th
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用改进的经验公式系统计算$α$衰变半衰期

Systematic calculations of $α$-decay half-lives with an improved empirical formula

Z. Y. Wang, Z. M. Niu, Q. Liu, J. Y. Guo

摘要:

基于NUBASE 2012的最新数据,提出了一个改进的计算$α$衰变半衰期的经验公式,该公式考虑了母核和子核的基态自旋和宇称变化引起的位阻效应,并对壳层附近的核提出了新的修正因子.计算的$α$ -衰变半衰期被认为是在更好的协议与实验数据,和相应的均方根(rms)偏差减少到$0.433$时,实验$Q$ -值。此外,还利用不同核质量模型的$Q$值预测了$α$衰变半衰期。发现计算的半衰期对$Q$值非常敏感。值得注意的是,当使用径向基函数(RBF)改进质量预测时,可以显着降低所产生的均方根偏差。根据最新版本的Weizsäcker-Skyrme(WS 4)模型进行质量预测,$α$ -衰变半衰期相对于已知数据的均方根偏差降至$0.697$。

英文摘要:

Based on the recent data in NUBASE2012, an improved empirical formula for evaluating the $α$-decay half-lives is presented, in which the hindrance effect resulted from the change of the ground state spins and parities of parent and daughter nuclei is included, together with a new correction factor for nuclei near the shell closures. The calculated $α$-decay half-lives are found to be in better agreements with the experimental data, and the corresponding root-mean-square (rms) deviation is reduced to $0.433$ when the experimental $Q$-values are employed. Furthermore, the $Q$-values derived from different nuclear mass models are used to predict $α$-decay half-lives with this improved formula. It is found that the calculated half-lives are very sensitive to the $Q$-values. Remarkably, when mass predictions are improved with the radial basis function (RBF), the resulting rms deviations can be significantly reduced. With the mass prediction from the latest version of Weizsäcker-Skyrme (WS4) model, the rms deviation of $α$-decay half-lives with respect to the known data falls to $0.697$.

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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