Nucleon-Deuteron Scattering with Δ-Isobar Excitation: Chebyshev Expansion of Two-Baryon Transition Matrix

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. The dynamics of the examples is based on a two-baryon potential which allows for the excitation of a nucleon to a Δ-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.

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