Nucleon-deuteron scattering with Δ-isobar excitation:: New technical developments

A new technique for solving three-particle scattering equations is developed. It is based on the two-dimensional Chebyshev expansion of the two-baryon transition matrix. Its validity and its effectiveness is demonstrated. Furthermore, a new perturbative technique for simulating exact scattering results is developed. It has the potential for understanding three-particle reaction mechanisms in detail. The dynamics of the examples is based on a two-baryon potential which allows for the excitation of a nucleon to a A-isobar; the coupled-channel potential yields an effective three-nucleon force in the three-nucleon system. The purely nucleonic reference potential is the charge-dependent Bonn potential.