The half-lives of two-proton $\left(2p\right)$ emitters ${}^6\mathrm{Be}$, ${}^{12}\mathrm{O}$, ${}^{16}\mathrm{Ne}$, ${}^{19}\mathrm{Mg}$, ${}^{45}\mathrm{Fe}$, ${}^{48}\mathrm{Ni}$, ${}^{54}\mathrm{Zn}$, and ${}^{67}\mathrm{Kr}$ have been predicted using the Coulomb and proximity potential model for deformed nuclei (CPPMDN) incorporating ground-state deformation (${\beta }_2$) and orientation effect, and the predicted values are compared with experimental data. As predicted values are in agreement with experimental data I extended my studies to 51 nuclei, whose decay are energetically possible with released energy $Q_{2p}>0$ for which $2p$ radioactivity is not yet experimentally detected, and the predicted half-life values are compared with other theoretical models/formulas. I hope the future experimental investigations will be guided by these predictions. The new Geiger Nuttall plot connecting ${log}_{10}\left[T_{1/2}\left(s\right)\right]$ computed using the CPPMDN versus $[Z_d^{0.8}+{\ell }^{\beta }]Q_{2p}^{-1/2}$ is found to be linear which shows the reliability of my calculations. It is found for the first time that $2p$ radioactivity also obeys the linear nature of a universal curve connecting ${log}_{10}\left[T_{1/2}\left(s\right)\right]$ versus $-lnP$ as that of the proton, $\alpha$, and cluster radioactivity.

• Received 8 October 2022
• Accepted 26 October 2022

DOI:https://doi.org/10.1103/PhysRevC.106.054604