  We propose a new nonlocal form of the nucleon-nucleus optical potential and
demonstrate its reliability. We extend the nonlocal potential to include the
excitation of the nuclear core and develop energy-independent
roton-${}^{10}\mathrm{Be}$ potential reasonably reproducing the experimental
data at low energies. We apply the new potential to the study of deuteron
stripping and pickup reactions ${}^{10}\mathrm{Be}(d,p){}^{11}\mathrm{Be}$ and
${}^{11}\mathrm{Be}(p,d){}^{10}\mathrm{Be}$ using rigorous three-body
Faddeev-type equations for transition operators that are solved in the
momentum-space partial-wave framework. The achieved description of the
experimental data is considerably more successful as compared to previous
studies with local potentials. The values of spectroscopic factors consistent
with the data are determined, exhibiting only weak energy dependence. The
results possibly indicate an increased predicting power of the proposed
calculational scheme.
