Systematic study on proton radioactivity of spherical proton emitters within two-potential approach

In the present work we systematically study half-lives of proton radioactivity for spherical emitters with $${Z\ge 69}$$ based on two-potential approach. While nuclear potential emitted proton-daughter nucleus is adopted by a parameterized cosh type, parameters depth and diffuseness are determined fitting experimental data 32 emitters. order to reduce deviations between calculated ones, propose simple analytic expression formation probability same orbital angular momentum l. The results indicate that can be simply described formula $$A_d^{1/3}$$ . Moreover, linear relationship fragmentation also exists. well reproduce data.