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arXiv · hep-ph/9712233

Relation between Scattering and Production Amplitude - Case of Intermediate σ-Particle in ππ-System

Muneyuki Ishida·Shin Ishida·Taku Ishida
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Abstract

The relation between scattering and production amplitudes are investigated, using a simple field theoretical model, from the general viewpoint of unitarity and the applicability of final state interaction(FSI-) theorem. The IA-method and VMW-method, which are applied to our phenomenological analyses suggesting the σ-existence, are obtained as the physical state representations of scattering and production amplitudes, respectively. Moreover, the VMW-method is shown to be an effective method to obtain the resonance properties from general production processes, while the conventional analyses based on the ``universality'' of ππ-scattering amplitude are powerless for this purpose.

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Muneyuki Ishida, Shin Ishida, Taku Ishida. 1997-12-02. Relation between Scattering and Production Amplitude - Case of Intermediate σ-Particle in ππ-System. https://doi.org/10.1063/1.56062

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