Extended Derivative Dispersion Relations
High Energy Physics - Phenomenology
2015-06-25 v1
Abstract
It is shown that, for a wide class of functions with physical interest as forward scattering amplitudes, integral dispersion relations can be replaced by derivative forms without any high-energy approximation. The applicability of these extended derivative relations, in the investigation of forward proton-proton and antiproton-proton elastic scattering, is exemplified by means of a Pomeron-Reggeon model with totally nondegenerate trajectories.
Cite
@article{arxiv.hep-ph/0601194,
title = {Extended Derivative Dispersion Relations},
author = {R. F. Avila and M. J. Menon},
journal= {arXiv preprint arXiv:hep-ph/0601194},
year = {2015}
}
Comments
7 pages, 1 figure, contribution to "Sense of Beauty in Physics", Miniconference in Honor of Adriano Di Giacomo on his 70th Birthday, Pisa, Italy, Jan. 26-27, 2006