Interpretation of glory undulations in scattering cross sections Amplitudes
Information on the interaction potential contained in the undulations in the energy dependence of the total scattering cross section is deduced by measuring the undulation amplitude. The amplitude is interpreted with emphasis on features that are independent of any specific assumptions about the form of the interaction potential. It is shown that the previously measured spacings of the undulations describe the area of the potential well, whereas the amplitudes provide a measure of the force in the vicinity of the distance of closest approach. This information can be used to test proposed potential models and to suggest ways of improving inadequate models; if the predicted spacing is too large, then the area of the well of the model is too small, and if the predicted amplitude is too small, then the repulsive wall of the potential is too steep.