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arXiv · hep-ph/9805319

Relation between Scattering and Production Amplitudes - concerning sigma Particle in pi pi System -

Muneyuki Ishida·Shin Ishida·Taku Ishida
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Abstract

In a series of previous papers the present authors and collaborators have shown strong evidence for existence of the long-sought sigma-particle by analyzing the pi pi-scattering and pi pi-production processes, applying, respectively, the IA method and the VMW method. In this paper we examine the relation between the scattering amplitude T and the production amplitude F from the viewpoint of the unitarity and the final state interaction (FSI) theorem by using a simple field theoretical model. As a result it is shown that the amplitudes in the physical state representation are directly represented through the Breit-Wigner amplitudes of the relevant resonances, and the respective forms of T and F coincide with those in the IA and VMW methods, justifying our methods of analyses.

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Muneyuki Ishida, Shin Ishida, Taku Ishida. 1998-05-14. Relation between Scattering and Production Amplitudes - concerning sigma Particle in pi pi System -. https://doi.org/10.1143/ptp.99.1031

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