Relation between scattering and production amplitude--Case of intermediate {sigma}-particle in {pi}{pi}-system--

Journal Article · Fri May 29 04:00:00 EDT 1998 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.56062· OSTI ID:21185763

Ishida, Muneyuki ^[1]; Ishida, Shin ^[2]; Ishida, Taku ^[3]

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1. Department of Physics, University of Tokyo, Tokyo 113 (Japan)
2. Atomic Energy Research Institute, College of Science and Technology, Nihon University, Tokyo 101 (Japan)
3. KEK, Oho, Tsukuba, Ibaraki 305 (Japan)

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 [2,3] 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.

• OSTI ID: 21185763
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 432; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COLOR MODEL
FINAL-STATE INTERACTIONS
PARTICLE PRODUCTION
PION-PION INTERACTIONS
RESONANCE PARTICLES
S MATRIX
SCATTERING
SCATTERING AMPLITUDES
SIGMA MODEL
UNITARITY