Systematic calculations of $\alpha$-decay half-lives with an improved empirical formula
Systematic calculations of $\alpha$-decay half-lives with an improved empirical formula
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DOI：
10.1088/0954-3899/42/5/055112
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发表时间：
2015-03
期刊：
影响因子：
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通讯作者：
Z. Y. Wang;Z. Niu;Q.Liu;J. Y. Guo
中科院分区：
文献类型：
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作者：
Z. Y. Wang;Z. Niu;Q.Liu;J. Y. Guo
基于NUBASE 2012的最新数据，提出了一个改进的α衰变半衰期经验公式，该公式考虑了母核和子核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.α衰变半衰期的计算结果与实验数据吻合较好，当采用实验Q值时，相应的均方根偏差减小到0.433。此外，还利用不同核质量模型的Q值，用改进后的公式预测了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。采用最新版本的Weizsacker-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福尔斯下降到0.697。
Based on the recent data in NUBASE2012, an improved empirical formula for evaluating α-decay half-lives is presented, in which the hindrance effect resulting 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 agreement with the experimental data, and the corresponding root-mean-square (rms) deviation is reduced to 0.433 when 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 Weizsacker–Skyrme (WS4) model, the rms deviation of α-decay half-lives with respect to the known data falls to 0.697.