ON THE HAMILTONIAN-STRUCTURE OF THE SPIN RUIJSENAARS-SCHNEIDER MODEL

The Hamiltonian structure of the spin generalization of the rational R uijsenaars-Schneider model is found by using the Hamiltonian reduction technique. It is shown that the model possesses current algebra symme try. The possibility of generalizing the obtained Poisson structure to the trigonometric case is discussed and degeneration to the Euler-Cal ogero-Moser system is examined.