Differential dispersion relations and elementary amplitudes in a multiple diffraction model

Details Differential dispersion relations and elementary amplitudes in a multiple diffraction model Differential dispersion relations and elementary amplitudes in a multiple diffraction model

1998-10-27

arxiv.org/abs/hep-ph/9810498v2

Phys.Rev. D59 (1999) 116006

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, aps-revtex, 5 ps figures, one reference and one Comment added, 2 references updated, minor changes. Final version to

Scientific paper

10.1103/PhysRevD.59.116006

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.

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