Adiabatic approximation versus exact Faddeev method for (d, p) and (p, d) reactions

The finite-range adiabatic wave approximation (ADWA) provides a practical method to analyze (d, p) or (p, d) reactions; however, until now the level of accuracy obtained in the description of the reaction dynamics has not been determined. In this work, we perform a systematic comparison between the finite-range adiabatic wave approximation and the exact Faddeev method. We include studies of Be-11(p, d)Be-10(g.s.) at E-p = 5, 10, and 35 MeV; C-12(d, p)C-13(g.s.) at E-d = 7, 12, and 56 MeV; and Ca-48(d, p)Ca-49(g.s.) at E-d = 19, 56, and 100 MeV. Results show that the two methods agree within approximate to 5% for a range of beam energies (E-d approximate to 20-40 MeV) but differences increase significantly for very low energies and for the highest energies. Our tests show that ADWA agrees best with the Faddeev method when the angular momentum transfer is small Delta l = 0 and when the neutron-nucleus system is loosely bound.