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Cluster radioactivity half-lives of trans-lead nuclei with a statistical physical preformation factor

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Abstract

In the present work, based on Wentzel-Kramers-Brillouin (WKB) theory, considering the cluster preformation probability (\(P_{c}\)) in statistical physical way (Eur Phys J A 41:197, 2009), we systematically investigate the cluster radioactivity half-lives of 22 trans-lead nuclei ranging from \(^{221}\)Fr to \(^{242}\)Cm. For comparison, a universal decay law (UDL) proposed by Qi et al. (Phys Rev C 80:044326, 2009), a model-independent formula for cluster radioactivity half-lives proposed by Balasubramaniam et al. (Phys Rev C 70:017301, 2004) and a general law for the emission of charged particles and exotic cluter radioactivity proposed by Sahu et al. (Nucl Phys A 908:17, 2013) are also used. The calculated results in our work, UDL, Balasubramaniam’s formula as well as Sahu’ s formula are basically consistent and can well reproduce the experimental data. In addition, we extend this model to predict the half-lives for 51 nuclei, whose cluster radioactivity is energetically allowed or observed but yet not quantified in NUBASE2020.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: The citable references (DOI) are https://doi.org/10.1103/PhysRevC.82.024311 and https://doi.org/10.1142/S0218301322500094.]

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Acknowledgements

We would like to thank X. Y. Zhu, M. Li, Y. Y. Xu and D. X. Zhu for useful discussions. This work is supported in part by the National Natural Science Foundation of China (Grant 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.18A237), the Shandong Province Natural Science Foundation, China (Grant No.ZR2022JQ04), the Opening Project of Cooperative Innovation Center for Nuclear Fuel Cycle Technology and Equipment, University of South China (Grant No.2019KFZ10), the Innovation Group of Nuclear and Particle Physics in USC, 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

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

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

    Xiao-Hua Li

  3. 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

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

    Biao He

  5. The Research Center for Theoretical Physics, Science School, Qingdao University of Technology, Qingdao, 266033, China

    Peng-Cheng Chu

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  1. Lin-Jing Qi
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Correspondence to Xiao-Hua Li.

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Communicated by Chong Qi

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Qi, LJ., Zhang, DM., Luo, S. et al. Cluster radioactivity half-lives of trans-lead nuclei with a statistical physical preformation factor. Eur. Phys. J. A 59, 255 (2023). https://doi.org/10.1140/epja/s10050-023-01162-w

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