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Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure
We compute the full expression of the second Poisson bracket structure for N = 2 and N = 3 site rational classical Calogero-Moser model.We propose an r-matrix formulation for N = 2.It is identified with the classical limit of the second dynamical boundary algebra previously built by the authors.