Forward Scattering Amplitude with Nuclear Correlations and Overlapping Potentials

Abstract

We have formulated a theory of nuclear scattering for overlapping potentials between the incident particle and each of the target nucleons, without using the impact-parameter approximation of Feshbach. As the nuclear internal Hamiltonian is important for the overlap in the potentials, we include in the energy denominators a term which is dependent on the nuclear internal Hamiltonian, as well as the term which is linear in the momentum transfers. A correction to the Glauber model, due to the overlap in the potentials, is obtained from the principal part of the denominators. The correction reduces both the total cross section and the forward differential cross section by about 15%. We define the "effective solid angle for scattering" to be the total cross section divided by the forward differential cross section. From this quantity we can determine nuclear correlation independently of the correction due to the overlap in the potentials. Range parameters for nuclear correlation functions are obtained from existing data.