  We solved the nonlocal scattering and bound state equations using the
Perey-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 nonlocal
dispersive optical model. We have also included nonlocality consistently into
the adiabatic distorted wave approximation and have investigated the effects of
nonlocality 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 states
the Perry corrected wave functions resulting from the local equation agreed
well with that from the nonlocal equation in the interior region, but
discrepancies were found in the surface and peripheral regions. Overall, the
Perey correction factor was adequate for scattering states, with the exception
for a few partial waves. Nonlocality in the proton scattering state reduced the
amplitude of the wave function in the nuclear interior. The same was seen for
nonlocality in the deuteron scattering state, but the wave function was also
shifted outward. In distorted wave Born approximation studies of (p,d)
reactions using the Perey-Buck potential, we found that transfer distributions
at the first peak differed by 15-35% as compared to the distribution resulting
from local potentials. When using the dispersive optical model, this
discrepancies grew to 30-50%. When nonlocality was included consistently within
the adiabatic distorted wave approximation, the disagreement was found to be
~40%. This highlights the necessity to pursue reaction formalisms that include
nonlocality exactly.
