Using a multiple scattering framework we construct a variant of the usual distorted-wave Born approximation transition matrix for stripping and pickup reactions. An alternative to the local energy approximation is derived which in the appropriate limit gives the commonly used zero range approximation for ($p, d$) and ($d, p$) reactions. Model calculations are developed in an eikonal framework and an examination of the sensitivity and energy dependence of the nuclear response function is made, using the ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}(p, d){}_{}{}^{11}{}_{}{}^{}\mathrm{C}({\frac{3}{2}}^{-}, \mathrm{g}.\mathrm{s}.\mathrm{})$ process.

NUCLEAR REACTIONS ($p, d$), ($d, p$), intermediate energy, multiple scattering formalism with direct treatment of realistic nucleon-nucleon potential.

• Received 7 January 1983

DOI:https://doi.org/10.1103/PhysRevC.27.1967