The complex relation between production and scattering amplitudes

Abstract

The unitarity relation, Im(A)=T* A, 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.

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Cited by in corpus (3)

• Amplitude Analysis of High Statistics Results on $\gamma \gamma \to {\pi }^{+}{\pi }^{-}$ and the Two Photon Width of Isoscalar States
• How adding zero to the complex relation between production and scattering amplitudes found by van Beveren and Rupp gives the expected real relation
• Why the Pennington-Wilson expansion with real coefficients is of little use in the analysis of production processes