Theoretical studies on two-proton radioactivity

The Coulomb and proximity potential model for deformed nuclei (CPPMDN) have been used to compute half-lives of two-proton (2p) radioactivity of Be-6, O-12, Ne-16, Mg-19, Fe-45, Ni-48, Zn-54 , and Kr-67, and the values are compared with the experimental data. The predicted half-life values are also compared with six theoretical models and two empirical formulas. The standard deviation is least for the model CPPMDN (sigma = 1.03), compared to other theoretical models and formulas, which indicates that CPPMDN is the apt model for studying 2p radioactivity. I extended the model to predict half-lives of other 15 even-Z nuclei for which 2p radioactivity is energetically possible with released energy, Q(2p) > 0, and hope that the predictions may serve as a guide for future experimental investigations. The observed linear nature of the new Geiger-Nuttall plot of log(10)[T-1/2 (s)] computed using CPPMDN versus (Z(d)(0.8) l(0.25))Q(2p)(-1/2) , stresses the reliability of the model in predicting 2p radioactivity half-lives.

Automated summary

The CPPMDN model was used to accurately predict the half-lives of various nuclei undergoing 2p radioactivity, with the results showing its reliability compared to other models and formulas.