Triton binding energy and three-nucleon potential

Abstract

The method of continued fractions proposed by Horacek and Sasakawa is applied to calculate the binding energy of the triton. By this method, the Faddeev equation is solved very quickly. We solved it with 34 channels for the super-soft core (TRS), Paris (PARIS) and Argonne (AV) potentials with Tucson-Melbourne (TM) three-nucleon potential. The binding energy obtained from these realistic two-nucleon potentials without a threenucleon potential is at most 7.7 MeV. If we include the TM three-nucleon potential taking a cutoff mass of Λ=800 MeV for the dipole πNN form factor, the triton is overbound (9.3 ≈ 9.7 MeV), whereas for Λ=700 MeV, we get binding energies which almost agree with the experimental value; TRS+TM, 8.47; PARIS + TM, 8.32; AV+TM, 8.42 MeV.