Three-particle system for nonlocal interactions with continuum bound states

The energy spectrum of the model triton is studied for a series of rank-two separable two-body interactions, each of which has a fixed deuteron wave function and a continuum bound state fixed at high energy. In each case the three particle system collapses, having an unphysical deeply bound ground state. With increasing two body repulsion, the collapsed state becomes less bound. If the continuum bound state moves to higher energies, the collapsed state becomes more bound. Our results show that for non-local two-body interactions which support a continuum bound state, or a resonance pole sufficiently close to the real axis, the three particle system is not a low energy system. (orig.)