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Advances in High Energy Physics
Volume 2016, Article ID 8729893, 8 pages
Research Article

New Phase Space Calculations for β-Decay Half-Lives

1Horia Hulubei Foundation, P.O. MG6, 077125 Magurele, Romania
2Horia Hulubei National Institute of Physics and Nuclear Engineering, P.O. Box MG6, 077125 Magurele, Romania
3Faculty of Physics, University of Bucharest, P.O. Box MG11, 077125 Magurele, Romania
4GIK Institute of Engineering Sciences and Technology, Topi 23640, Khyber Pakhtunkhwa, Pakistan

Received 23 June 2016; Accepted 5 October 2016

Academic Editor: Theocharis Kosmas

Copyright © 2016 Sabin Stoica et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


We revisit the computation of the phase space factors (PSF) involved in the positron decay and EC processes for a large number of nuclei of experimental interest. To obtain the electron/positron wave functions, we develop a code for solving accurately the Dirac equation with a nuclear potential derived from a realistic proton density distribution in the nucleus. The finite nuclear size (FNS) and screening effects are included through recipes which differ from those used in previous calculations. Comparing our results with previous calculations, performed with the same -values, we find a close agreement for positron decays, while, for the EC process, there are relevant differences. For the EC process, we also find that the screening effect has a notable influence on the computed PSF values especially for light nuclei. Further, we recomputed the same PSF values but using the most recent -values reported in literature. In several cases, the new -values differ significantly from the older ones, leading to large differences in the PSF values as compared with previous results. Our new PSF values can contribute to more reliable calculations of the beta-decay rates, used in the study of nuclei far from the stability line and stellar evolution.