Semimicroscopic model of two-proton emission

We propose a semimicroscopic model for the simultaneous emission of two protons. This model has the advantage of avoiding certain technical aspects of a fully microscopic three-body framework, while also allowing the investigation of the influence of proton pairing on the total lifetime of the decaying nucleus. Thus, we use the standard singlet two-proton wave function on the nuclear surface, provided by the Bardeen-Cooper-Schrieffer (BCS) approach, as a boundary condition for the propagator operator. Our model allows for the estimation of all quantities related to the 2p emission process, since it provides the three-body wave function over most of the domain. We show that reasonable agreement with experimental values can be reached by varying the pp pairing strength outside the nucleus in an interval close to the "bare" singlet value.