S-wave Approach for nnp and ppn Systems with Phenomenological Correction for Singlet NN Potentials

Three-nucleon systems are considered assuming the neutrons and protons to be distinguishable particles. The configuration space Faddeev equations within the s-wave approach are applied for studying bound state and scattering problems. The phenomenological Malfliet–Tjon MT I-III and Afnan–Tang ATS3 NN potentials are used with scaling factors chosen to reproduce the singlet nn, pp and np experimental scattering lengths. Numerical evaluation for the charge symmetry breaking energy is found to be about 50 keV for ³H and ³He nuclei. To determine any effects related to the nn (pp) and np potential differences, the nd and pd breakup scattering calculations were performed at E_lab = 4.0 and 14.1 MeV. We found the effects due to potential differences are small but noticeable. We discuss the dependence of calculated inelasticities and phase-shifts with respect to the chosen value for cutoff radius. (author)