Relation between Scattering and Production Amplitude - Case of Intermediate \sigma-Particle in \pi\pi-System
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 \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.
Keywords
Cite
@article{arxiv.hep-ph/9712233,
title = {Relation between Scattering and Production Amplitude - Case of Intermediate \sigma-Particle in \pi\pi-System},
author = {Muneyuki Ishida and Shin Ishida and Taku Ishida},
journal= {arXiv preprint arXiv:hep-ph/9712233},
year = {2009}
}
Comments
Talk at HADRON'97, the 7th int. conf. on hadron spectroscopy, BNL, August 1997. 4 pages with no figure