Spectral representation for u- and t-channel exchange processes in a partial-wave decomposition

Abstract

We study the analytic structure of partial-wave amplitudes derived from u- and t-channel exchange processes. The latter plays a crucial role in dispersion-theory approaches to coupled-channel systems that model final state interactions in QCD. A general spectral representation is established that is valid in the presence of anomalous thresholds, decaying particles or overlapping left-hand and right-hand cut structures as it occurs frequently in hadron physics. The results are exemplified at hand of ten specific processes.

35 pages, 7 figures

References in corpus (3)

• Radiative and isospin-violating decays of Ds mesons in the hadrogenesis conjecture
• On causality, unitarity and perturbative expansions
• On kinematical constraints in the hadrogenesis conjecture for the baryon resonance spectrum

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