N-d Elastic Scattering Using the Hyperspherical Harmonics Approach with Realistic Local and Non-Local Interactions

Abstract

The application of the hyperspherical harmonic approach to the case of the N-d scattering problem below deuteron breakup threshold is described. The nuclear Hamiltonian includes two- and three-nucleon interactions, in particular the Argonne v_{18}, the N3LO-Idaho, and the V_{low k} two-nucleon, and the Urbana IX and N2LO three-nucleon interactions. Some of these models are local, some are non-local. Also electromagnetic effects are included. Accurate calculations for many scattering observables at various center-of-mass energies are performed and the results are compared with the available experimental data. Furthermore, a χ^2 analysis of some of the Hamiltonian models has been performed to compare their capability to describe the scattering process.

40 pages, 18 figures