Triton Bound State Calculation with Energy - Dependent Separable Potentials

Energy-dependent N-N separable potentials proposed recently by Garcilazo are examined in trinucleon systems. For-the special energydependence of the two-body potentials chosen there the Faddeev equations are well defined, unique, and preserve three-body unitarity. It is found that Garcilazo potentials overbind the triton by more than 14 MeV. A modified Garcilazo potential is proposed, which takes special care of the analytic continuation of the corresponding t-matrices to negative energies. The modified potentials describe not only the deuteron bound state and N-N phase shifts in the range of O-450 MeV correctly, but give a correct triton binding energy of 8.59 MeV or 8.33 MeV depending on the uncertainty in the experimental data analysis of the energy position at which N-N phase shifts change the sign. The importance of correct description of phase shifts at higher energies for the low energy properties of a three-body systems versus two-body off-shell effects is found and discussed.