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

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