Scalar resonances: scattering and production amplitudes

Details Scalar resonances: scattering and production amplitudes Scalar resonances: scattering and production amplitudes

2007-05-22

arxiv.org/abs/0705.3260v2

Phys.Rev.D76:094011,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 4 figures. Minor changes, references added, version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.76.094011

Scattering and production amplitudes involving scalar resonances are known, according to Watson's theorem, to share the same phase $\delta(s)$. We show that, at low energies, the production amplitude is fully determined by the combination of $\delta(s)$ with another phase $\omega(s)$, which describes intermediate two-meson propagation and is theoretically unambiguous. Our main result is a simple and almost model independent expression, which generalizes the usual $K$-matrix unitarization procedure and is suited to be used in analyses of production data involving scalar resonances.

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