Simple Description of Pion-Pion Scattering to 1 GeV
High Energy Physics - Phenomenology
2008-11-26 v1 Nuclear Theory
Abstract
Motivated by the 1/Nc expansion, we present a simple model of pion-pion scattering as a sum of a `current-algebra' contact term and resonant pole exchanges. The model preserves crossing symmetry as well as unitarity up to 1.2 GeV. Key features include chiral dynamics, vector meson dominance, a broad low energy scalar (sigma) meson and a `Ramsauer-Townsend' mechanism for the understanding of the 980 MeV region. We discuss in detail the `regularization' (corresponding to rescattering effects) necessary to make all these nice features work.
Keywords
Cite
@article{arxiv.hep-ph/9511335,
title = {Simple Description of Pion-Pion Scattering to 1 GeV},
author = {Masayasu Harada and Francesco Sannino and Joseph Schechter},
journal= {arXiv preprint arXiv:hep-ph/9511335},
year = {2008}
}
Comments
35 pages (LaTeX), 13 PostScript figures are included as uuencoded-compressed-tar