Comparison of realistic local and one-boson-exchange potentials in the three-nucleon system

The disagreement that currently exists regarding the calculated and experimental values of the triton binding energy (ET) and the doublet scattering length (²a) is analyzed in considerable detail. Using the unitary pole approximation, which has previously been tested with great success, we have calculated ET and ²a for a large class of realistic potentials. The results show that the one-boson-exchange potentials (OBEP) give in general {~}1 MeV more binding for ³H and correspondingly smaller ²a than the local hard- and soft-core potentials. This difference is shown to be partly due to the fact that the OBEP have in general smaller deuteron D-state probability, and partly due to the fact that they fit the ¹S₀ n-p rather than the p-p data. Finally, we demonstrate that the correlation between ET and ²a, predicted by Phillips on the basis of separable potential calculations, has validity for the more realistic interactions.NUCLEAR STRUCTURE ³H; calculated binding energy, doublet scattering length. Faddeev approach, realistic N-N interactions.