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We demonstrate that in a certain gauge the elliptic Ruijsenaars–Schneider model with N = 2 admits a nondynamical r-matrix structure and the corresponding classical r-matrix is the same as that of its nonrelativistic counterpart (Calogere–Moser model) in the same gauge. The relation between our (classical) Lax operator and the Lax operator given by Ruijsenaars is also obtained.

The Nondynamical r -Matrix Structure of the Elliptic Ruijsenaars–Schneider Model with N = 2