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

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 t...

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Bibliographic Details
Published in:arXiv.org 2009-10
Main Authors: Dasgupta-Schubert, N, Reyes, M A, Tamez, V A
Format: Article
Language:English
Subjects:
Alpha decay
Emitters
Half-life
Heavy nuclei
Nuclides
Optimization
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0910.0657