Effects of three-nucleon forces on the trinucleon system

The configuration-space Faddeev equations for the triton have been solved with two-nucleon and three-nucleon potentials for up to thirty-four channels (j less than or equal to 4). The results have been checked by variational calculations using the Faddeev wave functions generated. The two-nucleon potentials used were the Reid Soft Core and the Argonne V14, and the two-pion-exchange three-nucleon potentials used were those developed by the Tucson-Melbourne group (TM) and the Brazil group (BR). It was found that a full thirty-four channel calculation is necessary to obtain quantitatively reliable results. The author has also studied the effects of the three-nucleon potential on the doublet nucleon-deuteron scattering lengths using a five-channel model. Kohn variational estimates were made to check the accuracy of the numerical calculations. The results show that the inclusion of a three-nucleon potential does not change the Phillips lines. The effect of the force is simply to change the trinucleon binding energy and move the doublet scattering length along the Phillips lines which are already known