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

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

1997-12-02

arxiv.org/abs/hep-ph/9712233v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Talk at HADRON'97, the 7th int. conf. on hadron spectroscopy, BNL, August 1997. 4 pages with no figure

Scientific paper

10.1063/1.56062

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 \sigma-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 \pi\pi-scattering amplitude are powerless for this purpose.

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