Impact Picture and Scattering of Deuterons. I

Abstract

In this paper we apply the theory of the impact picture to the process of scattering of deuterons. We show that the impact-factor representation plays the same role in a complete relativistic scattering process as the Glauber form does in the scattering of a particle on a static deuteron. Therefore, as we use the impact-factor representation for the deuteron scattering amplitude, we include automatically the recoil effects of the deuteron, which must be taken into account when the recoil momentum of the deuteron is not much smaller than the deuteron mass. The main difference between the impact-factor representation and the Glauber form is that in the impact-factor representation, the internal wave function of the outgoing particle is Lorentz-contracted. This also accounts for the difference we found earlier between our results in quantum electrodynamics and the corresponding ones in the droplet model. To obtain the Lorentz-contracted wave function explicitly, we give the Lorentz transformation equations relating the laboratory system and the recoil system, defined to be the system in which the outgoing deuteron is at rest.