Pairing enhancement in a two-neutron transfer process through the continuum

Enhancement, due to constructive interference through the many possible reaction channels, occurs in two-neutron transfer reactions from a bound system $A$ to a weakly-bound system ($A$+2), whenever the intermediate system is unbound and consists of a continuum with a resonant state. We elucidate this phenomenon in the case of ${}^6$He, modeled as two neutrons in the orbitals of an intermediate ${}^5$He nucleus, comparing the realistic case of an unbound ($A$+1) system with an artificially bound case. A properly modeled continuum in these calculations is found to be crucial and leads to significant enhancement due to pairing correlations.