Abstract
Spin generalizations of both the elliptic Calogero - Marchioro - Wolfes model and the nonlinear Schrödinger model are studied. These models are three-body problems with two- and three-body potentials, and mathematically related with the exceptional root system of type 
. We construct the integrable differential-difference operator, the so-called Dunkl operator, based on the infinite-dimensional representation for solutions of the variant of the classical Yang - Baxter equation. By use of these operators, we investigate the integrability and the scattering matrices.