Nondynamical r-Matrix Structure of the sl₂ Trigonometric Ruijsenaars-Schneider Model

It is shown that the sl₂ trigonometric Ruijsenaars-Schneider model admits a nondynamical r-matrix structure under a certain gauge. The corresponding r-matrix is the classical limit of a twisted trigonometric R-matrix. The new factorized classical and quantum L-operators are obtained.