The resonance Raman scattering phenomenon via the predissociated state is described in the four crossing terms A-(1, 2)-B model when terms 1 and 2 strongly interact. The Green's function closed representation for the coupled intermediate electronic terms 1 and 2 is obtained. The transition amplitude I A-(1, 2)-B is found in the WKB approximation. The resonance Raman scattering via the predissociated 3ΠOu + state of the interhalogen molecules is treated in detail.