Two-proton emission within a deformed Yukawa-plus-exponential model

The Yukawa-plus-exponential model (YEM) is the modified form of liquid drop model incorporating parameter to include short-range interaction and surface diffuseness. We have studied two-proton (2p) radioactivity within the YEM for spherical nuclei in our previous work [Mehana and Rajeswari in Eur. Phys. J. A 59, 104 (2023)]. The present study is the extension of the previous work to apply the model to deformed 2p emitters. Deformation is incorporated in YEM through Coulomb potential and Yukawa interaction potential. The calculated half-lives are found to have less deviation than experimental half-lives, when compared to spherical ones. Further, half-lives are also predicted for 2p emitters which are not yet studied experimentally. The calculated half-lives show good match with half-lives predicted by other theoretical models. It is seen that the half-lives of the prolate-shaped daughter nuclei are lower than spherical nuclei of the same parent, whereas the half-lives of oblate daughters are higher than that of the spherical ones.