The analysis of predictability of alpha-decay half-life formulae and the alpha partial half-lives of some exotic nuclei

TL;DR

This study evaluates and improves three alpha-decay half-life formulae using experimental benchmarking, leading to more accurate predictions especially for exotic and superheavy nuclei.

Contribution

The paper develops a benchmarking method to re-derive coefficients of existing alpha-decay formulae and introduces modifications that enhance their predictive accuracy for various nuclei.

Findings

Modified formulae show improved accuracy for medium heavy nuclei.

The GLDM formula performs best for odd-odd and superheavy nuclides.

Linear optimization further refines predictions without altering the formulae.

Abstract

The predictabilities of the three alpha-decay half-life formulae, the Royer GLDM, the Viola-Seaborg and the Sobiczewski-Parkhomenko formulae, have been evaluated by developing a method based on the ansatz of standard experimental benchmarking. The coefficients of each formula were re-derived using the reliable data of the alpha-standards nuclei. The modified formulae that resulted were used to evaluate the accuracies of the formulae towards the prediction of half-lives of a set of nuclides with well-studied alpha- spectroscopic data as well as a set of exotic alpha-emitters. Further, a simple linear optimization of the modified formulae allowed adjustments for the insufficient statistics of the primary data set without changing the modified formulae. While the three modified formulae showed equivalent results for all the medium heavy nuclei except the odd-odd, the modified GLDM showed relatively the best figures of merit for the odd-odd and superheavy nuclides.