Three-Nucleon Problem with Separable Potentials

Abstract

The low-energy three-nucleon problem with two-particle separable potentials is solved. The formalism of Faddeev in recasting the three-body equations into Fredholm form and subsequent angular-momentum reductions are carried out. Upon searching for a bound state, two poles of the amplitude are found. Upon further examination, one of the poles is found to have a residue whose sign is opposite to those encountered in scattering with local field theory or with local potentials.