Scattering theory of the hyperbolic image Sutherland and the rational image Ruijsenaars–Schneider–van Diejen models Original Research Article

In this paper, we investigate the scattering properties of the hyperbolic image Sutherland and the rational image Ruijsenaars–Schneider–van Diejen many-particle systems with three independent coupling constants. Utilizing the recently established action-angle duality between these classical integrable models, we construct their wave and scattering maps. In particular, we prove that for both particle systems the scattering map has a factorized form.