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- Publisher
- American Physical Society (APS)
- Copyright
- Copyright © 1975 The American Physical Society
- ISSN
- 1089-4918
- DOI
- 10.1103/PhysRevD.12.43
- Publisher site
- See Article on Publisher Site
Abstract
Recent angular momentum analyses of the three-pion system produced in the reaction π - p → π - π + π - p have been criticized because the three-pion states used in the analysis do not satisfy unitarity. In order to answer this criticism we develop a set of unitarity equations which can be solved to yield a set of three-pion states which explicitly satisfy both three-particle unitarity and two-particle unitarity (Watson's theorem). A numerical method for solving the equations is given. When the unitary states are used to reanalyze the data for the reaction π - p → π - π + π - p we find some changes in the detailed numerical fits but no change in the general conclusions. In particular, the phase of the amplitude for the A 1 state varies only slightly in the A 1 mass region, in contrast with the behavior expected for a resonant state.
Journal
Physical Review D – American Physical Society (APS)
Published: Jul 1, 1975