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We solved the nonlocal scattering and bound state equations using thePerey-Buck type interaction, and compared to local equivalent calculations.Using the distorted wave Born approximation we construct the T-matrix for (p,d)transfer on 17O, 41Ca, 49Ca, 127Sn, 133Sn, and 209Pb at 20 and 50 MeV.Additionally we studied (p,d) reactions on 40Ca using the the nonlocaldispersive optical model. We have also included nonlocality consistently intothe adiabatic distorted wave approximation and have investigated the effects ofnonlocality on on (d,p) transfer reactions for deuterons impinged on 16O, 40Ca,48Ca, 126Sn, 132Sn, 208Pb at 10, 20, and 50 MeV. We found that for bound statesthe Perry corrected wave functions resulting from the local equation agreedwell with that from the nonlocal equation in the interior region, butdiscrepancies were found in the surface and peripheral regions. Overall, thePerey correction factor was adequate for scattering states, with the exceptionfor a few partial waves. Nonlocality in the proton scattering state reduced theamplitude of the wave function in the nuclear interior. The same was seen fornonlocality in the deuteron scattering state, but the wave function was alsoshifted outward. In distorted wave Born approximation studies of (p,d)reactions using the Perey-Buck potential, we found that transfer distributionsat the first peak differed by 15-35% as compared to the distribution resultingfrom local potentials. When using the dispersive optical model, thisdiscrepancies grew to 30-50%. When nonlocality was included consistently withinthe adiabatic distorted wave approximation, the disagreement was found to be~40%. This highlights the necessity to pursue reaction formalisms that includenonlocality exactly.

Effects of Nonlocality on Transfer Reactions