Corrections to the Impulse Approximation in Scattering from Deuterons

Abstract

The effect of binding and multiple-scattering corrections to the impulse approximation, as well as of corrections due to the presence of off-the-energy-shell matrix elements, in the case of scattering from a deuteron or other two-particle system, is discussed. Those binding and multiple-scattering corrections which have the form of double scattering are evaluated explicitly, with the help of the phase shifts of Gammel and Thaler, for the case of quasi-elastic $p-d$ scattering at 145 Mev, and their inclusion is found to give good agreement with the experimental results on the cross section and polarization despite the fact that estimates of the triple-scattering corrections show they are of comparable magnitude to the effects which were included. The double-scattering corrections to the cross section, polarization, and $R$ and $A$ parameters for quasi-elastic $n-d$ scattering at the same energy are also given. The off-the-energy shell corrections are evaluated numerically, and are found to be too small to be observed because of experimental errors and uncertainty in the calculation of the multiple-scattering corrections.