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An improved empirical formula of \(\alpha \) decay half-lives for superheavy nuclei

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Abstract

Based on the Santhosh formula (Nucl Phys A 825:159, 2009), considering the blocking effect of unpaired nucleons and the orbital angular momentum taken away by the emitted \(\alpha \) particle, we put forward an improved formula to evaluate \(\alpha \) decay half-lives for superheavy nuclei. Using this formula, we systematically investigate the \(\alpha \) decay half-lives of 141 nuclei ranging from Z = 96 to Z = 118 with the corresponding root-mean-square (rms) deviations being 0.319 , 0.619 and 0.388 for 41 even–even, 78 odd-A and 22 odd–odd nuclei, respectively. In addition, this improved formula is generalized to predict \(\alpha \) decay half-lives for 100 nuclei with Z = 117, 118, 119 and 120. For comparison, the predicted results obtained by using phenomenological formulae, semi-microscopic and/or microscopic models are also present. The corresponding predictions consistently indicate that N = 184 may be the next possible neutron magic number.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment:All data included in this manuscript are available upon request by contacting with the corresponding author.].

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Acknowledgements

We would like to thank Y. Y. Xu and D. X. Zhu for useful discussions. This work is supported in part by the National Natural Science Foundation of China (Grants No. 12175100 and No. 11975132), the Construct Program of the Key Discipline in Hunan Province, the Research Foundation of Education Bureau of Hunan Province, China (Grant No. 21B0402 and No. 18A237), the Natural Science Foundation of Hunan Province, China (Grants No. 2018JJ2321), the Innovation Group of Nuclear and Particle Physics in USC, the Shandong Province Natural Science Foundation, China (Grant No. ZR2022JQ04) and the Opening Project of Cooperative Innovation Center for Nuclear Fuel Cycle Technology and Equipment, University of South China (Grant No. 2019KFZ10), Hunan Provincial Innovation Foundation for Postgraduate (Grant No. CX20220993).

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Authors and Affiliations

  1. School of Nuclear Science and Technology, University of South China, Hengyang, 421001, China

    Song Luo, Lin-Jing Qi, Dong-Meng Zhang & Xiao-Hua Li

  2. College of Physics and Electronics, Central South University, Changsha, 410083, China

    Biao He

  3. School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, 266033, China

    Peng-Cheng Chu

  4. National Exemplary Base for International Science and Technology, Collaboration of Nuclear Energy and Nuclear Safety, University of South China, Hengyang, 421001, China

    Xiao-Hua Li

  5. Cooperative Innovation Center for Nuclear Fuel Cycle Technology and Equipment, University of South China, Hengyang, 421001, China

    Xiao-Hua Li

  6. Key Laboratory of Low Dimensional Quantum Structures and Quantum Control, Hunan Normal University, Changsha, 410081, China

    Xiao-Hua Li

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  1. Song Luo
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Correspondence to Xiao-Hua Li.

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Communicated by Chong Qi.

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Luo, S., Qi, LJ., Zhang, DM. et al. An improved empirical formula of \(\alpha \) decay half-lives for superheavy nuclei. Eur. Phys. J. A 59, 125 (2023). https://doi.org/10.1140/epja/s10050-023-01040-5

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