Doubled resonances and unitarity
- Creators
- Rebbi, Claudio
- Slansky, Richard
Abstract
The constraints of unitarity on a multichannel partial-wave amplitude dominated by two nearby or coincident resonances are derived. The factorization conditions are discussed and used in the solution of these equations. The solutions permit variation in the relative heights of the two peaks in the cross section and variation in the depth of the dip. Single peaks appear in some cross sections, while doubled peaks appear in others. The single peak may be centered at the energy of the dip or displaced to either side, and the amplitude may be imaginary or real at the top of the single peak. The doubled-resonance amplitude is Reggeized and the narrow-width limit is investigated. The amplitude becomes a simple pole with an unfactorizable residue in this limit. Numerical examples of the solutions are also presented.
Additional Information
©1969 The American Physical Society. Received 2 June 1969. We wish to thank Professor Steven Frautschi for carefully reading the manuscript, and Professor Peter Kaus and Professor George Zweig for interesting conversations. Work supported in part by the U.S. Atomic Energy Commission. Prepared under Contract No. AT(11-1)-68 for the San Francisco Operations Office, U.S. Atomic Energy Commission.Files
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Additional details
- Eprint ID
- 9478
- Resolver ID
- CaltechAUTHORS:REBpr69
- Created
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2008-01-23Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field