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
Received:
6
October
2022
Accepted:
29
November
2022
Published online:
14
December
2022
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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