Summary
The extrapolation of theS-matrix to complex angular momenta is obtained using Lehmann’s representation of the amplitude for the elastic scattering. TheS-matrix obtained is an analytic regular function in the half-plane Rel>l 0.
Riassunto
Facendo uso della rappresentazione di Lehmann dell’ampiezza per lo scattering elastico, si ottiene l’estrapolazione della matriceS a momenti angolari complessi. La matriceS ottenuta è una funzione regolare analitica nel semipiano Rel>l 0.
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Literatur
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Bateman Manuscript Project:Higher Transcendental Functions, Vol.1 (New York, 1953).
R. Jost andH. Lehmann:Nuovo Cimento,5, 1598 (1957).
I want to thank Prof.A. Martin for pointing out the error to me.
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Limić, N. Extrapolation of theS-matrix from lehmann’s representation. Nuovo Cim 39, 551–556 (1965). https://doi.org/10.1007/BF02735823
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DOI: https://doi.org/10.1007/BF02735823