Institut de Physique Nucléaire, BP no. 1, 91406, Orsay, France
National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824, USA
Abstract:
The effect of the three-nucleon forces on the triton binding energy (ET) is investigated. Two different types of three-nucleon potentials are considered, one involving 2π-exchange (VππF) and the other involving 2σ-exchange (VSSF) which is an approximation to 3π exchange. Both VππF and VSSF are constructed using the πN scattering amplitude extrapolated to off (pion) mass shell subject to PCAC. The contribution of VππF and VSSF to et are calculated in the first-order perturbation using the triton wave function obtained by solving the Faddeev equations with the Reid soft-core potential. The Fujita-Miyazawa force is also investigated as a special case. We find that the effect of VππF on ET is sensitive to the assumed pionic form factor and is small due to cancellation between the πN s-d wave and p-wave contributions. The effect of VSSF is also found to be small.