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 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.
Cite
@article{arxiv.hep-ph/9810498,
title = {Differential dispersion relations and elementary amplitudes in a multiple diffraction model},
author = {A. F. Martini and M. J. Menon and J. T. S. Paes and M. J. Silva Neto},
journal= {arXiv preprint arXiv:hep-ph/9810498},
year = {2009}
}
Comments
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