A Systematic study on the alpha decay of superheavy nuclei using empirical diffuseness parameter in the coulomb and proximity potential model

Recent studies of Dehghani et al [ Mod. Phys. Lett. A 33 14 1850080 (2018)] and Abdul-latif et al [ Phys. Rev. C 100, 024601 (2019)] revealed the importance of the diffuseness parameter in the calculation of alpha decay half-lives from superheavy elements using proximity potentials. In the present paper, predictions of the empirical formula for the diffuseness parameter proposed by Abdul-latif et al is analyzed in view of the diffuseness parameter calculated by Dehghani et al using WKB method and considering deformed Woods–Saxon nuclear potential, deformed Coulomb potential, and centrifugal potential; and related theoretical aspects. From the conclusions, we propose three new empirical formulae for the diffuseness parameter. Using the diffuseness parameter calculated from the proposed empirical formula in the Coulomb and Proximity Potential Model (CPPM), the alpha decay half-life of 68 superheavy nuclei is calculated and compared with the experimental values. The inclusion of the diffuseness parameter in proximity potential improved the predictive power of the CPPM considerably.