  Recent work has studied the uncertainty in predictions for A(d,p)B reactions
using the distorted-wave Born approximation (DWBA), coming from the
parameterization of the effective dA interactions [Lovell et al., Phys. Rev. C
95, 024611]. There are different levels of sophistication in theories for
one-nucleon transfer reactions, including the adiabatic wave approximation
(ADWA) which takes deuteron breakup into account to all orders. In this work,
we quantify the uncertainties associated with the ADWA method that come from
the parameterization of the NA interactions, and compare ADWA with DWBA. We use
nucleon elastic-scattering data on a wide variety of targets to constrain the
optical potential input to the ADWA theory. Pulling from the
$\chi^2$-distribution, we obtain 95% confidence plots for the elastic
distributions. From the resulting parameters, we predict 95% confidence bands
for the (d,p) transfer cross sections. Results obtained with the uncorrelated
$\chi^2$ are compared to those using the correlated $\chi^2$ of Lovell et al.
We also repeat the DWBA calculations for the same reactions for comparison
purposes. We find that NA elastic scattering data provides a significant
constraint to the interactions, and, when the uncertainties are propagated to
the transfer reactions using ADWA, predictions are consistent with the transfer
data. The angular distributions for ADWA differ from those predicted by DWBA,
particularly at small angles. Confidence bands obtained using the uncorrelated
$\chi^2$-function are unrealistically narrow and become much wider when the
correlated $\chi^2$-function is considered. For most cases, the uncertainty
bands obtained in ADWA are narrower than DWBA, when using elastic data of
similar quality and range. However, given the large uncertainties predicted
from the correlated $\chi^2$-function, the transfer data cannot discriminate
between these two methods.
