https://doi.org/10.1140/epja/s10050-022-00820-9
Regular Article - Theoretical Physics
Calculation of
-decay half-lives for isotopes around
using different proximity-type potentials
1
Department of Physics, Sciences Faculty, Hakim Sabzevari University, P. O. Box 397, Sabzevar, Khorasan Razavi, Iran
2
Physics Department, College of Science, Salahaddin University, 44001, Erbil, Kurdistan, Iraq
3
Becquerel Institute for Radiation Research and Measurements, Erbil, Kurdistan, Iraq
4
University College of Goizha, Sulaymaniyah, Kurdistan, Iraq
Received:
23
May
2022
Accepted:
17
August
2022
Published online:
18
September
2022
Within the framework of 16 different versions of proximity potentials, we study the alpha decay half-lives of 21 probable isotopes of nuclei around in the range of
. The obtained results show that the theoretical half-lives of the Prox. 81 (set III) and Prox. 88 potential models are in very close agreement with the available experimental data. For comparison, the validity of the generalized liquid drop model (GLDM) and effective liquid drop model (ELDM) are also evaluated in reproducing the experimental data of alpha radioactivity half-lives. On the basis of the isotopic dependence of the Coulomb potential barrier and the released energy
, we discuss the variation in the penetration probability of
-particle and alpha decay half-lives with neutron content. The validity of the Geiger–Nuttall (GN) law is examined for
transitions from the ground state of the selected parent nuclei. The values produced by the present proximity potentials are compared with those obtained by some of the well-known empirical and semi-empirical formulae, including Royer, SemFIS (semi-empirical relationship based on fission theory), Akrawy, MRenB, YQZR, MYQZR, and AKRA. The computed standard deviations of the calculated half-lives in comparison with the experimental data suggest that the SemFIS formula produces the lowest standard deviation among the different formulae for alpha decay of the present nuclei. The present approaches are also employed to predict the alpha radioactivity half-lives for parent nuclei at around
whose the experimental data are not available for them.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.