https://doi.org/10.1140/epja/i2009-10859-5
Special Article - Tools for Experiment and Theory
The analysis of predictability of
-decay half-life formulae and the
partial half-lives of some exotic nuclei
1
Institute of Chemical Biology, University of Michoacan, C.P. 58060, Morelia, Michoacan, Mexico
2
Department of Electrical Engineering, University of Texas Pan American, 78539, Edinburg, TX, USA
3
Department of Chemistry, Texas A&M University, 78363, Kingsville, TX, USA
* e-mail: nita@ifm.umich.mx
Received:
17
February
2009
Revised:
21
July
2009
Accepted:
20
August
2009
Published online:
2
October
2009
The predictabilities of the three -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
-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
spectroscopic data as well as a set of exotic
emitters. Further, a simple linear optimisation 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.
PACS: 27.90.+b A
220 – / 23.60.+e
decay – / 21.10.Tg Lifetimes, widths –
© SIF, Springer-Verlag Berlin Heidelberg, 2009