Compton Scattering on Pion and Pion Polarizabilities
Abstract
The Compton scattering on a charged pion is studied using the dispersion relations. Unknown mass, full width and decay width into \gamma \gamma of the sigma meson are found from a fit to the experimental data for the process \gamma+\gamma \to \pi^0+\pi^0. These parameters are used for the calculation of the cross section of the Compton scattering on the charged pion. The analysis of the obtained results shows that the data on the elastic \gamma\pion scattering in the energy region up to \sqrt{s}=1 GeV (together with the data on process \gamma\gamma \to \pi^0\pi^0) could be used both for a determination of the pion polarizability values with high precision and for research of the sigma meson.
Keywords
Cite
@article{arxiv.hep-ph/9810304,
title = {Compton Scattering on Pion and Pion Polarizabilities},
author = {L. V. Fil'kov and V. L. Kashevarov},
journal= {arXiv preprint arXiv:hep-ph/9810304},
year = {2007}
}
Comments
4 pages including 4 figures, LaTex. Contributed paper to the 8th International Conference on the Structure of Baryons, BARYONS'98, Bonn, Germany, Sept. 22-26 1998, to appear in proceedings