  The nonlocal dispersive optical model (NLDOM) nucleon potentials are used for
the first time in the adiabatic analysis of a (d,p) reaction to generate
distorted waves both in the entrance and exit channels. These potentials were
designed and fitted by Mahzoon $et \text{ } al.$ [Phys. Rev. Lett. 112, 162502
(2014)] to constrain relevant single-particle physics in a consistent way by
imposing the fundamental properties, such as nonlocality, energy-dependence and
dispersive relations, that follow from the complex nature of nuclei. However,
the NLDOM prediction for the $^{40}$Ca(d,p)$^{41}$Ca cross sections at low
energy, typical for some modern radioactive beam ISOL facilities, is about
70$\%$ higher than the experimental data despite being reduced by the NLDOM
spectroscopic factor of 0.73. This overestimation comes most likely either from
insufficient absorption or due to constructive interference between ingoing and
outgoing waves. This indicates strongly that additional physics arising from
many-body effects is missing in the widely used current versions of (d,p)
reaction theories.
