Contribution of Three-Nucleon Potential to Triton Binding Energy

Abstract

Faddeev calculations for the triton are performed with three two-body potentials (RSC, URG, and Paris) taking eighteen channels, $J<~2$, for an interacting pair. Using these wave functions, we calculate the first-order perturbation energy for the Tucson-Melbourne three-body interaction. For the usual dipole pionic form factor with the cutoff parameter of $\ensuremath{\Lambda}=800$ MeV, we get 0.89 MeV (RSC), 0.50 MeV (URG), and 0.67 MeV (Paris). Thus, the calculated triton binding energies amount to 8.13 MeV (RSC), 8.00 MeV (URG), and 8.23 MeV (Paris). These values are very close to the experimental value of 8.482 MeV.