Abstract
In the present work we systematically study the half-lives of proton radioactivity for spherical proton emitters with \({Z\ge 69}\) 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 \(A_d^{1/3}\). Moreover, the linear relationship between the formation probability and the fragmentation potential also exists. The calculated half-lives can well reproduce the experimental data.
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Acknowledgements
This work is supported in part by National Natural Science Foundation of China (Grant No. 11205083 and No. 11975132), the construct program of the key discipline in Hunan province, the Innovation Group of Nuclear and Particle Physics in USC, the Shandong Province Natural Science Foundation, China (Grant No. ZR2019YQ01), the Opening Project of Cooperative Innovation Center for Nuclear Fuel Cycle Technology and Equipment, University of South China (2019KFZ10), and the Hunan Provincial Innovation Foundation For Postgraduate (Grant No. CX20190714).
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Chen, JL., Li, XH., Wu, XJ. et al. Systematic study on proton radioactivity of spherical proton emitters within two-potential approach. Eur. Phys. J. A 57, 305 (2021). https://doi.org/10.1140/epja/s10050-021-00618-1
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DOI: https://doi.org/10.1140/epja/s10050-021-00618-1