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Veneziano Model and the Adler-Weisberger Sum Rules forK−πScattering

Dennis Corrigan
Published: 25 December 1969

Abstract: It is shown that the contributions to the Adler-Weisberger sum rule (AWSR) in the simplest Veneziano model for K−π scattering are too large by a factor of 2. A modification of the simplest Veneziano amplitude is proposed which satisfies (i) the Adler self-consistency condition, (ii) the AWSR, and (iii) the K*(890) having the experimentally observed width of 50 MeV. If this modified Veneziano amplitude is required to satisfy the Adler-Weisberger-type sum rule for zero-mass K mesons scattering from physical pions, the ratio FKFπ is predicted to be 1.26, in good agreement with experiment.
Keywords: Veneziano Model / scattering / Weisberger Sum / Adler Weisberger / sum rules

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