Glauber theory without the eikonal approximation

Abstract

This paper examines the interconnections between the impulse approximation, unitarity, Glauber theory, and the multiple scattering series for high energies. Within the context of scattering from fixed centres, we write down an effective eikonal Hamiltonian from which all the two- and three-body scattering results of Glauber may be derived. We comparatively discuss the unitarity characteristics of Glauber's eikonal solution to multiple scattering and the form of Glauber theory actually used in phenomenological calculations. Finally we present a way of unitarizing the impulse approximation which obtains all the principal results of Glauber theory but without using the eikonal approximations. This method is constructed to have a natural generalization to scattering from finite mass particles capable of recoil. © 1970.