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.
We show that a systematic analysis of multiple-scattering contributions in the quark model can explain the detailed structure of the hadronic differential cross sections at high energies. As an extension of previous work on multiple-scattering effects in the quark model, we fit the high-energy differential cross sections for nucleon-nucleon, nucleon-antinucleon, and pion-nucleon scattering, assuming simple forms for the quarkquark scattering amplitudes and the baryon and meson form factors. Of the ten parameters involved, seven are determined by measurements at forward or near-forward angles, leaving the entire wide-angle cross sections to be fitted by the remaining three parameters. Reasonably good fits are obtained to the present data, and calculations at higher t values which may become experimentally accessible in the near future are presented. The parameters found provide some information about the interactions of quarks (should they exist) at high energy and are used to calculate double-scattering corrections to total cross sections and the phase of the nucleon-nucleon amplitude as a function of momentum transfer.
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