In this paper we construct a new Lax operator for the elliptic Calogero-Moser model with general from the classical dynamical twisting, in which the corresponding r -matrix is purely numerical (non-dynamic). The non-dynamical r -matrix structure of this Lax operator is obtained, which is the elliptic -symmetric r -matrix.
R-matrices for the n=2,3 Elliptic Calogero-Moser Models
The classical (dynamical) R-matrices for the 2- and 3-body Calogero-Moser models with elliptic potentials are given. The 3-body case has an interesting nontrivial structure that goes beyond the known ansatz for momentum independent R-matrices. The R-matrices presented include the dynamical R-matrices of Avan and Talon as degenerate cases of the elliptic potential.