https://doi.org/10.1140/epja/s10050-021-00618-1
Regular Article - Theoretical Physics
Systematic study on proton radioactivity of spherical proton emitters within two-potential approach
1
School of Nuclear Science and Technology, University of South China, 421001, Hengyang, China
2
Cooperative Innovation Center for Nuclear Fuel Cycle Technology and Equipment, University of South China, 421001, Hengyang, China
3
Key Laboratory of Low Dimensional Quantum Structures and Quantum Control, Hunan Normal University, 410081, Changsha, China
4
School of Math and Physics, University of South China, 421001, Hengyang, China
5
School of Science, Qingdao Technological University, 266000, Qingdao, China
6
College of Physics and Electronics, Central South University, 410083, Changsha, China
Received:
17
August
2021
Accepted:
23
October
2021
Published online:
6
November
2021
In the present work we systematically study the half-lives of proton radioactivity for spherical proton emitters with 
based on two-potential approach. While the nuclear potential of the emitted proton-daughter nucleus is adopted by a parameterized cosh type, the parameters of the depth and diffuseness for nuclear potential are determined by fitting experimental data of 32 spherical proton emitters. In order to reduce the deviations between experimental half-lives and calculated ones, we propose a simple analytic expression for formation probability of proton radioactivity with the same orbital angular momentum l. The results indicate that the formation probability can be simply described by a formula of 
. Moreover, the linear relationship between the formation probability and the fragmentation potential also exists. The calculated half-lives can well reproduce the experimental data.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
