Deuteron elastic scattering off $^{12}$C is described in the framework of three-body Faddeev-type equations. Analyzing powers are calculated using the PEST16 potential which is a separable rank-one representation of the Paris potential. Satisfactory agreement with the experimental data is found.

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 Up to now the latter has usually been replaced by the 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