https://doi.org/10.1140/epja/s10050-022-00898-1
Regular Article - Theoretical Physics
Improved Geiger–Nuttall law for 
-decay half-lives of heavy and superheavy nuclei
1
School of Nuclear Science and Technology, University of South China, 421001, Hengyang, People’s Republic of China
2
College of Physics and Electronics, Central South University, 410083, Changsha, People’s Republic of China
3
School of Mathematics and Physics, Qingdao University of Science and Technology, 266033, Qingdao, People’s Republic of China
4
National Exemplary Base for International Science and Technology, Collaboration of Nuclear Energy and Nuclear Safety, University of South China, 421001, Hengyang, People’s Republic of China
5
Cooperative Innovation Center for Nuclear Fuel Cycle Technology and Equipment, University of South China, 421001, Hengyang, People’s Republic of China
6
Key Laboratory of Low Dimensional Quantum Structures and Quantum Control, Hunan Normal University, 410081, Changsha, People’s Republic of China
f
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Received:
6
October
2022
Accepted:
29
November
2022
Published online:
14
December
2022
Abstract
In the present work, considering the blocking effect of unpaired nucleons and the orbital angular momentum taken away by the emitted particle, we put forward an improved Geiger-Nuttall law to calculate -decay half-lives of heavy and superheavy nuclei. There are three adjustable parameters in this formula, whose values are obtained by fitting experimental decay half-lives of 216 nuclei ranging from Z = 90 to Z = 118 with N
130 from the ground state and/or isomeric state. The calculated results are in good agreement with the experimental data. The corresponding root-mean-square (rms) are 0.301, 0.587 and 0.541 for 65 even–even, 116 odd-A and 35 odd–odd nuclei, respectively. For comparison, the Royer formula proposed by G. Royer [J. phys. G 26, 1149(2000)], Viola-Seaborg-Sobiczewski formula (VSS) proposed by A. Sobiczewski et al. [J. Inorg. Nucl. Chem 28, 741(1966)] and Sobiczewski-Parkhomenko formula (SP) proposed by A. Parkhomenko et al. [Acta. Phys. Pol. B 36, 3095(2005)] are also used. In addition, this improved formula is extended to predict -decay half-lives for nuclei with Z = 117, 118, 119 and 120. The corresponding predictions of these formulae are basically consistent with each other.
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© 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 (e.g. a society or other partner) 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.
