New parameterization of the resonant production amplitudes near an inelastic threshold
Abstract
New formulae for the resonant scattering and the production amplitudes near an inelastic threshold are derived. It is shown that the Flatte formula, frequently used in experimental analyses, is not sufficiently accurate. Its application to data analysis can lead to a substantial distortion of the effective mass spectra and of the resonance pole positions. A unitary parameterization, satisfying a generalized Watson theorem for the production amplitudes, is proposed. It can be easily applied to study production processes, multichannel meson-meson interactions and the resonance properties, including among others the scalar resonances a0(980) and f_0(980).
Keywords
Cite
@article{arxiv.0809.3210,
title = {New parameterization of the resonant production amplitudes near an inelastic threshold},
author = {L. Lesniak},
journal= {arXiv preprint arXiv:0809.3210},
year = {2009}
}
Comments
4 pages, 1 figure, contribution to MESON 2008, Tenth International Workshop on Meson Production, Properties and Interaction, 6-10 June, Krakow, Poland, to be published in International Journal of Modern Physics A