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An Attempt to Unify Half-Lives of Proton Decay, Beta Decay and Electron Capture Through GN Law
Iranian Journal of Science and Technology, Transactions A: Science ( IF 1.4 ) Pub Date : 2022-07-22 , DOI: 10.1007/s40995-022-01319-0
H. C. Manjunatha , Y. S. Vidya , P. S. Damodara Gupta , N. Sowmya , L. Seenappa , K. N. Sridhar , N. Manjunatha , A. M. Nagaraja , K. V. Sathish , B. Chinnappa Reddy , M. G. Srinivas

We have made an attempt to unify the decay process such as one and two proton decay, \(\beta ^{+}\) and \(\beta ^{-}\) decay and electron capture through Geiger–Nuttall law (GNL). As a result of this, we have constructed empirical formula for proton, \(\beta ^{+}\), \(\beta ^{-}\) and electron capture half-lives based on the Geiger–Nuttall law. The variation of logT\(_{1/2}\) with \(Z_{d}^{n}/\sqrt{Q}\) for the elements with atomic number 1-118 is not perfectly linear instead of that these decays follow different order polynomial rule. The values produced by the present formula for proton and beta decay are close to the experiments than the other formulae available in the literature. Empirical formulae constructed for the electron capture are first of its kind. The constructed pocket formulae produce half-lives with the simple inputs of atomic number of daughter nuclei and decay energy. This pocket formula is independent on spin and deformation of daughter nuclei.



中文翻译:

尝试通过 GN 定律统一质子衰变、β 衰变和电子捕获的半衰期

我们尝试通过 Geiger-Nuttall定律GNL)。因此,我们根据 Geiger-Nuttall 定律构建了质子、\(\beta ^{+}\)\(\beta ^{-}\)和电子捕获半衰期的经验公式。logT \(_{1/2}\)\(Z_{d}^{n}/\sqrt{Q}\)的变化因为原子序数为 1-118 的元素不是完全线性的,而是这些衰变遵循不同阶多项式规则。本公式产生的质子和β衰变值比文献中可用的其他公式更接近实验。为电子捕获构建的经验公式是同类中的第一个。所构建的袖珍公式通过子核的原子序数和衰变能量的简单输入产生半衰期。这个口袋公式独立于子核的自旋和变形。

更新日期:2022-07-24
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