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Smoothness of \(N\)-body scattering amplitudes. (English) Zbl 0781.35047
The author establishes the smoothness of the 2-cluster – 2-cluster and 2-cluster – \(N\)-cluster scattering amplitudes under some general short range conditions on the potential and under a discreteness assumption on the channel energies. The proofs are based on strong bounds on the resolvent by using so called “channel localization operators”.

MSC:
35P25 Scattering theory for PDEs
81U10 \(n\)-body potential quantum scattering theory
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