The complex relation between production and scattering amplitudesE. van Beveren1 and G. Rupp2
1 Centro de Física Teórica, Departamento de Física, Universidade de Coimbra - P-3004-516 Coimbra, Portugal
2 Centro de Física das Interações Fundamentais, Instituto Superior Técnico, Technical University of Lisbon P-1049-001 Lisboa, Portugal
received 30 October 2007; accepted in final form 27 January 2008; published March 2008
published online 25 February 2008
The constraint implied by the unitarity relation is derived for a three-body production amplitude A that consists of a complex linear combination of elements of the two-body scattering amplitude T. We conclude that the unitarity relation does not impose a realness condition on the coefficients in the expansion of A in terms of T.
11.80.Gw - Multichannel scattering.
11.55.Ds - Exact S matrices.
13.75.Lb - Meson-meson interactions.
© EPLA 2008