Relating multichannel scattering and production amplitudes in a microscopic OZI-based model

Details Relating multichannel scattering and production amplitudes in a microscopic OZI-based model Relating multichannel scattering and production amplitudes in a microscopic OZI-based model

2007-06-28

arxiv.org/abs/0706.4119v2

Annals Phys.323:1215-1229,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 3 figures, plain LaTeX;

Scientific paper

10.1016/j.aop.2007.11.012

Relations between scattering and production amplitudes are studied in a microscopic multichannel model for meson-meson scattering, with coupling to confined quark-antiquark channels. Overlapping resonances and a proper threshold behaviour are treated exactly in the model. Under the spectator assumption, it is found that the two-particle production amplitude shares a common denominator with the elastic scattering amplitude, besides a numerator consisting of a linear combination of all elastic and some inelastic matrix elements. The coefficients in these linear combinations are shown to be generally complex. Finally, the standard operator expressions relating production and scattering amplitudes, viz. A=T/V and Im(A)=T*A, are fulfilled, while in the small-coupling limit the usual isobar model is recovered.

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