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The amplitude of the triangular diagrams in the three-body models of deuteron induced reactions with charged particles contains the off-shell two-body T -matrix describing the intermediate-state Coulomb scattering of charged subsystems. Up to now the latter has usually been replaced by the Coulomb potential due to the computational reason. In this paper, we first investigate theoretically and numerically the validity of the mentioned Coulomb-Born approximation. The results show the important contribution of the higher order of the latter approximation for the (d,p) reactions off heavy target.

Triangular exchange diagram within the full off-shell Coulomb T-matrix in deuteron induced reactions