Systematic study of proton radioactivity of spherical proton emitters with Skyrme interactions

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Regular Article -Theoretical Physics

Systematic study of proton radioactivity of spherical proton emitters with Skyrme interactions Jun-Hao Cheng1,2 , Xiao Pan1, You-Tian Zou1, Xiao-Hua Li1,3,4,a , Zhen Zhang5,b , Peng-Cheng Chu6,c 1

School of Nuclear Science and Technology, University of South China, Hengyang 421001, China Nuclear Power Institute of China, Chengdu 610041, China 3 Cooperative Innovation Center for Nuclear Fuel Cycle Technology and Equipment, University of South China, Hengyang 421001, China 4 Key Laboratory of Low Dimensional Quantum Structures and Quantum Control, Hunan Normal University, Changsha 410081, China 5 Sino-French Institute of Nuclear Engineering and Technology, Sun Yat-sen University, Zhuhai 519082, China 6 School of Science, Qingdao Technological University, Qingdao 266000, China

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Received: 16 March 2020 / Accepted: 13 October 2020 © Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020 Communicated by Pierre Capel

Abstract Proton radioactivity is an important and common process of the natural radioactivity of proton-rich nuclei. In our previous work (Cheng et al. in Nucl Rhys A 997: 121717, 2020), we systematically studied the proton radioactivity half-lives of 53 ≤ Z ≤ 83 nuclei within the twopotential approach with Skyrme–Hartree–Fock. The calculations can well reproduce the experimental data of spherical nuclei. The present work is an extension of the previous work. We systematically study 32 proton radioactivity half-lives of spherical nuclei with the two-potential approach with Skyrme–Hartree–Fock (TPA-SHF) within 115 different versions of the Skyrme interactions. The calculated results indicate that the SLy7 Skyrme interaction gives the lowest r.m.s. deviation in the description of the experimental data of the spherical proton emitters among all the different versions of the Skyrme interactions. In addition, we use this model with the SLy7 Skyrme interaction to predict the proton radioactivity half-lives of 7 spherical nuclei in the same region, whose proton radioactivity is energetically allowed or has been observed but is not yet quantified.

1 Introduction In 1970, proton radioactivity was firstly discovered by Jackson et al. [1] in the isomeric state of 53 Com which sponXiao-Hua Li, Zhen Zhang and Peng-Cheng Chu have equally contributed to this work. a e-mail:

[email protected] (corresponding author)

b e-mail:

[email protected]

c e-mail:

[email protected]

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taneously decays to the ground state of 52 Fe by emitting a proton. Since then, the proton radioactivity has been discovered in more and more nuclei in the protons number region Z = 51 − 83 [2], and thus the study of proton radioactivity becomes a hot topic in nuclear physics [3–5]. The systematic study of proton radioactivity is an important subject in relation to the extensive theoretical studies of proton dripline nuclei. As a typical decay mode of nuclei beyond the proton drip line, the proton radioactivity serves as a powerful tool to