Ca40(d, p)Ca41, a Test of the Validity of the Distorted-Wave Born Approximation

The reaction ${\mathrm{Ca}}^{40}(d, p){\mathrm{Ca}}^{41}$ has been studied at deuteron energies of 7.0, 8.0, 9.0, 10.0, 11.0, and 12.0 MeV. Absolute differential cross sections for the four most prominent proton groups were measured and are compared with predictions based on the distorted-wave Born approximation (DWBA). Particular emphasis is placed on the ability of this approach to extract precise spectroscopic factors, which for this reaction are expected to be known a priori. Effects of variation of optical parameters, and of inclusion of spin-orbit and finite-range effects, are discussed in detail. It can be concluded that, if one uses optical potentials which fit elastic-scattering data, spectroscopic factors can be extracted with an accuracy of 20% or better.