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New modified empirical formulae for favoured and unfavoured α-decay
Nuclear Physics A ( IF 1.4 ) Pub Date : 2021-09-15 , DOI: 10.1016/j.nuclphysa.2021.122318
P.K. Sharma 1 , A. Jain 2, 3 , G. Saxena 3
Affiliation  

Three empirical formulae (i) Horoi formula (Horoi (2004) [22]), (ii) Sobiczewski formula (Parkhomenko and Sobiczewski (2005) [13]), and (iii) Manjunatha formula (Manjunatha, Seenappa and Sridhar (2019) [23]) used to estimate α-decay half-lives, have been modified with the centrifugal term in order to explain the favoured and unfavoured α-transitions. These formulae have been fitted by considering 398 nuclei within the range 50≤Z≤118 while aiming towards the lesser number of fitting coefficients. Our calculated α-decay half-lives by using these new modified formulae have been compared with the half-life values obtained by their original and recently modified versions. The half-lives of the favoured and unfavoured α-transitions computed using these new modified formulae are found to have much lesser root mean square error (RMSE) and mean deviation along with the excellent match with experimental values. Using these 3 new modified formulae, we predict half-lives of favoured and unfavoured α-decays for Z=121, 122, 123, and 124 isotopes.



中文翻译:

用于有利和不利 α-衰变的新修改经验公式

三个经验公式 (i) Horoi 公式 (Horoi (2004) [22]),(ii) Sobiczewski 公式 (Parkhomenko and Sobiczewski (2005) [13]),以及 (iii) Manjunatha 公式(Manjunatha、Seenappa 和 Sridhar (2019)) [23]) 用于估计α-衰变半衰期,已用离心项修改,以解释有利和不利的α-转变。这些公式是通过考虑 50≤Z≤118 范围内的 398 个原子核来拟合的,同时旨在减少拟合系数的数量。我们通过使用这些新的修改公式计算出的α -衰变半衰期已与其原始版本和最近修改的版本获得的半衰期值进行了比较。受欢迎和不受欢迎的α的半衰期发现使用这些新的修改公式计算的转换具有更小的均方根误差 (RMSE) 和平均偏差以及与实验值的出色匹配。使用这 3 个新的修改公式,我们预测了 Z=121、122、123 和 124 同位素的有利和不利α衰变的半衰期。

更新日期:2021-09-24
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