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

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