Multiple scattering in the Compton effect. Relativistic cross section for double scattering

Abstract

The angular distribution of double scattering for aluminum and nickel have been studied using the relativistic Klein-Nishina cross section. The differences between the nonrelativistic Thomson cross section and the Klein-Nishina cross section are studied at different energies. The effects of using a momentum-dependent (Ribberfors) cross section are studied. It is found that the Ribberfors cross section can be replaced by the Klein-Nishina cross section in most cases of interest in double scattering. The results are applied to experimental Compton profiles of aluminum and nickel measured at Am and Te energies. The corrected profiles are found to be independent of sample thickness and/or incident energy, within the statistical errors.