Off-Shell Continuation of the Two-Nucleon Transition Matrix with a Bound State

Abstract

A method of continuing the two-nucleon transition matrix off the energy shell for bound-state, partial-wave eigenchannels is presented. The arbitrary parmeters of this method are a symmetric function of momentum ${\sigma }_W(k,k^{\prime })$ and the bound-state wave function ${\Psi }_B\mathrm{}\left(r\right)\mathrm{}$. The phase-shifts are essentially contained in ${\sigma }_W\mathrm{}(k,k)\mathrm{}$. While a potential is presumed to be present, it never explicitly appears in determining the $T$ matrix.