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In this paper, we construct a quadratic r-matrix structure for the classicalrational BC(n) Ruijsenaars-Schneider-van Diejen system with the maximal numberof three independent coupling parameters. As a byproduct, we provide a Laxrepresentation of the dynamics as well.

On the classical r-matrix structure of the rational BC(n) Ruijsenaars-Schneider-van Diejen system