OFF-ENERGY-SHELL CONTINUATION OF 2-NUCLEON TRANSITION MATRIX

For an uncoupled partial wave without bound state, the symmetric part σ (k, k′) of the half-shell T-matrix can be given arbitrarily. This in turn determines the entire T-matrix. Since σ(k, k) is essentially the phase shift, the arbitrary part of T appears as a continuation into two dimensions of the phase shift function, symmetry being the only restriction. This formulation stays closer to experiment than the usual one, in which the arbitrary function is the potential V(k, k′). A practical method is given to go from σ to the entire T-matrix. © 1969.