Double Scattering Corrections to High-Energy Diffraction Scattering from Deuterons

Abstract

The eikonal method is used to estimate the double scattering corrections to the differential cross sections for high-energy diffraction scattering from deuterons. By inverting the Fourier-Bessel transform the correction is expressed in terms of the amplitudes for scattering from free nucleons. Numerical estimates are made for the case of proton-deuteron scattering by assuming simple forms for the nucleon-nucleon scattering amplitudes and the deuteron form factor: Corrections to the differential cross sections are about -6% in the forward direction and increase in magnitude with increasing momentum transfer.

Faddeev and Glauber calculations at intermediate energies in a model forn+dscattering

“…[25,26]. In the laboratory system with the projectile momentum k and the momentum transfer q = k − k ′ the two-particle scattering amplitude according to Glauber [1] is assumed to have the form…”

“…The question whether this is valid is an old one and has been investigated in the context of the eikonal approximation [1,25,26,27]. It turns out that rescattering (shadowing) corrections need to be added.…”

“…(3.1), 5) and again integrating over a vector q in a plane perpendicular ton one can eliminate the Γ's in favor of the two-particle scattering amplitude leading to the expression given in Refs. [25,26] …”

“…In the original work of Refs. [1,25,26], the eikonal phase is given in terms of the potential V (r) as…”

“…We will investigate such questions in this work and mostly follow the formulation given in Refs. [25,26]. In order to make closer contact with that work as well as for transparency, we will use the nonrelativistic formulation of the Faddeev equation for our comparison, even though we carry out calculations in the intermediate energy regime.…”