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It has recently been reported [Phys. Rev. Lett. 117, 162502 (2016)] that (d,p) cross sections can be very sensitive to the n-p interactions used in theadiabatic treatment of deuteron breakup with nonlocal nucleon-target opticalpotentials. To understand to what extent this sensitivity could originate inthe inaccuracy of the adiabatic approximation we have developed a leading-orderlocal- equivalent continuum-discretized coupled-channel model that accounts fornon-adiabatic effects in the presence of nonlocality of nucleon opticalpotentials. We have applied our model to the astro- physically relevantreaction $^{26m}$Al$(d, p) ^{27}$Al using two different n-p potentialsassociated with the lowest and the highest n-p kinetic energy in theshort-range region of their interaction, respectively. Our calculations reveala significant reduction of the sensitivity to the high n-p momenta thusconfirming that it is mostly associated with theoretical uncertainties of theadiabatic approximation itself. The non-adiabatic effects in the presence ofnonlocality were found to be stronger than those in the case of the localoptical potentials. These results argue for extending the analysis of the $(d,p)$ reactions, measured for spectroscopic studies, beyond the adiabaticapproximation.

Reduced sensitivity of the $(d, p)$ cross sections to the deuteron model beyond adiabatic approximation