  We study new interactions between degrees of freedom for Calogero, Sutherland
and confined Calogero spin models. These interactions are encoded by the
generators of the Lie algebra so(N) or sp(N). We find the symmetry algebras of
these new models: the half-loop algebra based on so(N) or sp(N) for the
Calogero models and the Yangian of so(N) or sp(N) for the two types of other
models. Surprisingly, these symmetry occur only for a specific value of the
coupling constant.
