The Linear Sigma Model at Work: Succesful Postdictions for Pion Scattering
High Energy Physics - Phenomenology
2007-05-23 v1
Abstract
We enforce chiral Ward identities on the vertices of the linear sigma model to take into account the width of the scalar sigma, considered as a true physical resonance. We consider pion scattering at very low energies and, from a fit to the measured phase shifts in the various angular momentum and isospin channels, conclude a mass for the sigma of 600+200-100 MeV. Its width turns out to be of the same size.
Cite
@article{arxiv.hep-ph/9903420,
title = {The Linear Sigma Model at Work: Succesful Postdictions for Pion Scattering},
author = {J. L. Lucio and M. Napsuciale and M. Ruiz-Altaba},
journal= {arXiv preprint arXiv:hep-ph/9903420},
year = {2007}
}