Investigation of two proton decay using modified wood saxon potential

We investigated two proton decay using the two potential approach with modified wood saxon nuclear potential (TPAMWS) in the present study. The model can better reproduce the experimental half-lives of ⁶Be, ¹²O, ¹⁶Ne, ¹⁹Mg, ⁴⁵Fe, ⁴⁸Ni, ⁵⁴Zn, and ⁶⁷Kr nuclei in ground states. The linear relationship between the computed log₁₀T_1/2(s) and [ \({Z}_{d}^{0.8}\) $Z_d^{0.8}$ +l^β] \({Q}_{2p}^{-1/2}\) $Q_{2p}^{-1/2}$ in the Geiger-Nuttall plot demonstrates the accuracy of the calculations. Two proton radioactivity in the excited states of ¹⁴O*, ¹⁷Ne*, ¹⁸Ne, ²⁹S*, and ⁹⁴Ag* isotopes was studied within the TPAMWS model. Similar to the unified fission model, the current model is also suitable for studying two proton decay in excited states. The predicted half-life of two proton decay of fifty nuclei (Q_2p > 0) agrees with those predicted by previous models and formulas. We also investigated two proton decay considering the quadrupole (β₂) and hexadecapole (β₄) deformations of the parent and daughter nuclei. The current model is suitable for studying two proton decay by considering nuclear deformation. The deformed nuclear case does not yield better results when compared to the spherical configuration except in the cases of the ⁶⁷Kr, ¹⁹Mg, and ⁹⁴Ag* nuclei. We observed that two proton radioactivity exhibits a linear nature in the universal decay curve, connecting log₁₀(T_1/2) versus -ln(P).