Differential dispersion relations and elementary amplitudes in a multiple diffraction model

Abstract

We discuss the evaluation of the real part of the elementary amplitudes in the context of a multiple diffraction model for $pp$ elastic scattering earlier developed. The framework is based on the concepts of analyticity and polynomial boundedness, and the techniques of dispersion relations. Novel results concern the use of derivative dispersion relations at the elementary level (constituent-constituent interactions) and an optimization of these relations in terms of one free parameter. In addition to a theoretical improvement, we achieved a satisfactory description of the physical quantities.

10 pages, aps-revtex, 5 ps figures, one reference and one Comment added, 2 references updated, minor changes. Final version to be published in Phys. Rev. D

References in corpus (5)

• Evidence for eikonal zeros in the momentum transfer space
• Proton-nucleus cross section at high energies
• Multiple diffraction model for proton-proton elastic scattering and total cross section extrapolations to cosmic-ray energies
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Cited by in corpus (1)

• Critical analysis of derivative dispersion relations at high energies