New parameterization of the resonant production amplitudes near an inelastic threshold

Details New parameterization of the resonant production amplitudes near an inelastic threshold New parameterization of the resonant production amplitudes near an inelastic threshold

2008-09-18

arxiv.org/abs/0809.3210v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 1 figure, contribution to MESON 2008, Tenth International Workshop on Meson Production, Properties and Interaction, 6

Scientific paper

10.1142/S0217751X09044048

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).

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