Spin generalization of the Calogero-Moser hierarchy and the matrix KP hierarchy
We establish a correspondence between rational solutions to the matrix KP
hierarchy and the spin generalization of the Calogero-Moser system on the level
of hierarchies. Namely, it is shown that the rational solutions to the matrix KP
hierarchy appear to be isomorphic to the spin Calogero-Moser system in a sense that
the dynamics of poles of solutions to the matrix KP hierarchy in the higher times
is governed by the higher
Hamiltonians of the spin Calogero-Moser integrable hierarchy with rational potential.