Theoretical studies of prospective $2p$ emitters are performed in a three-body $\text{core}+p+p$ model. Lifetime dependencies on the decay energy are calculated for ${}^{45}\mathrm{Fe}$, ${}^{48}\mathrm{Ni}$, ${}^{54}\mathrm{Zn}$, ${}^{58}\mathrm{Ge}$, ${}^{62}\mathrm{Se}$, ${}^{66}\mathrm{Kr}$, and compared to the quasiclassical estimates. The observation of products from the in-flight decays is discussed as an important technique supplementing a standard implantation method for a broad range of lifetimes of prospective two-proton emitters. The sensitivity of the model to various aspects of nuclear dynamics is demonstrated on the ${}^{45}\mathrm{Fe}$ example. Possible momentum correlations for emitted protons are discussed with the emphasis on ${}^{19}\mathrm{Mg}$ and ${}^{45}\mathrm{Fe}$. We study convergence and stability of theoretical momentum distributions with respect to different physical and numerical aspects of the model. Opportunities to extract valuable information on $2p$ emission from incomplete kinematics decay data are discussed.

• Received 15 August 2003

DOI:https://doi.org/10.1103/PhysRevC.68.054005