Reactions of a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mrow/><mml:mn>10</mml:mn></mml:msup></mml:math>Be beam on proton and deuteron targets

The extraction of detailed nuclear structure information from transfer reactions requires reliable, well-normalized data, as well as optical potentials and a theoretical framework demonstrated to work well in the relevant mass and beam energy ranges. It is rare that the theoretical ingredients can be tested well for exotic nuclei owing to the paucity of data. The halo nucleus ${}^{11}$Be has been examined through the ${}^{10}$Be($d,p$) reaction in inverse kinematics at equivalent deuteron energies of $12,\phantom{\rule{0.28em}{0ex}}15,\phantom{\rule{0.28em}{0ex}}18,$ and $21.4$ MeV. Elastic scattering of ${}^{10}$Be on protons was used to select optical potentials for the analysis of the transfer data. Additionally, data from the elastic and inelastic scattering of ${}^{10}$Be on deuterons was used to fit optical potentials at the four measured energies. Transfers to the two bound states and the first resonance in ${}^{11}$Be were analyzed using the finite-range adiabatic wave approximation. Consistent values of the spectroscopic factor of both the ground and first excited states were extracted from the four measurements, with average values of 0.71(5) and 0.62(4), respectively. The calculations for transfer to the first resonance were found to be sensitive to the size of the energy bin used and therefore could not be used to extract a spectroscopic factor.