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

Lutz, M. F. M. and Kolomeitsev, E. E. and Korpa, Csaba (2015) Spectral representation for u- and t-channel exchange processes in a partial-wave decomposition. PHYSICAL REVIEW D, 92. ISSN 2470-0010

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Abstract

We study the analytic structure of partial-wave amplitudes derived from u- and t-channel ex- change 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.

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