2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57285We constract a spin-shift relation of the trigonometric Ruijsenaars-Schneider Hamiltonian of type $C_n$. This is a succesive study of our previous paper whose title is " A Spin-Shift Operator of the Multi-particle Ruijsenaars-Schneider Hamiltonian" in Lett. Math. Phys. 60 pp.59-61, (2002).LaTeX, 8 pagesMathematical Physics70H06A spin-shift relation of the Ruijsenaars-Schneider Hamiltonian of type $C_n$text