Y. Komori et K. Hikami, INTEGRABLE 3-BODY PROBLEMS WITH 2-BODY AND 3-BODY INTERACTIONS, Journal of physics. A, mathematical and general, 30(6), 1997, pp. 1913-1923
Spin generalizations of both the elliptic Calogero-Marchioro-WoIfes mo
del and the nonlinear Schrodinger model are studied. These models are
three-body problems with two- and three-body potentials, and mathemati
cally related with the exceptional root system of type G(2). We constr
uct the integrable differential-difference operator, the so-called Dun
kl operator, based on the infinite-dimensional representation for solu
tions of the variant of the classical Yang-Baxter equation. By use of
these operators, we investigate the integrability and the scattering m
atrices.