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Partial-wave analysis of the Deck amplitude for $pi$N $Yields$ $pi$$pi$$pi$N

Journal Article · · Phys. Rev., D, v. 8, no. 11, pp. 3894-3919
OSTI ID:4323767
the various JMLS states in the final 3 pi system of the reaction pi N yields pi pi pi N, aasuming a Deck-model form for the production process. This calculation allows us to study relative phases of different partial waves, and the nucleon spin structure of the production amplitudes, in an unambiguous fashion. We find that the magnitudes and phases of 3 pi partial waves obtained by this method agree reasonably well with those obtained by applying an experimental fitting program to Monte Carlo events generated using the Deck formula: this may be interpreted as a check on the assumptions of the fitting program. Likewise, the magnitudes and phases agree reasonably well with those obtained from the data, confirming the belief that the A/sub 1/ and A/sub 3/ effects are probably produced by the Deck mechanism. In the rest system of the three pions, only one nucleon helicity-amplitude combination is dominant. The method of analysis can be applied to similar models for other production reactions. (auth)
Research Organization:
Physics Department, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
NSA Number:
NSA-29-027998
OSTI ID:
4323767
Journal Information:
Phys. Rev., D, v. 8, no. 11, pp. 3894-3919, Journal Name: Phys. Rev., D, v. 8, no. 11, pp. 3894-3919; ISSN PRVDA
Country of Publication:
United States
Language:
English