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

• Autor(a) principal: van Beveren, Eef
• Data de Publicação: 2008
• Outros Autores: Rupp, George
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Texto Completo: http://hdl.handle.net/10316/4334; https://doi.org/10.1016/j.aop.2007.11.012
• topic: Relating scattering and production amplitudes; Multichannel meson-meson scattering; Analytically solvable microscopic coupled-channel model; OZI-allowed processes; Generalised unitarity relations; Universal S-matrix poles

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. , are fulfilled, while in the small-coupling limit the usual isobar model is recovered.