2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56080In this paper, we give the general crossing relation for boundary reflection matrix $R(β)$, which is the extension of the work given by Ghoshal and Zamolodchikov .We also use the first non-trivial extended crossing relation to determine the scaler factor of $R(β)$ which is the rational diagonal solution to the boundary Yang-Baxter equation in the case of l=2 and n=3.Latex 11 pagesHigh Energy Physics - Theorytext