The recently proposed expression for the Green's function (GF) of the multistate Schrodinger-type equation is applied to obtaining the GF for the stochastic Liouville equation which describes the chemically induced dynamic electron polarization (CIDEP) generation in diffusion assisted radical pair recombination in liquids in the presence of interrradical interaction (for example, the Coulomb interaction). The analytical formulas for CIDEP amplitude are derived with the use of the sudden perturbation approximation, properly treating the effect of the spin exchange interaction, and two approaches, the cage and interpolation ones, which allow for the accurate description of diffusive motion of radicals in the potential. The accuracy of these two approaches and specific features of CIDEP generation in the presence of the interaction potential are discussed in detail.