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Amplitude analysis of reaction. pi. sup + n sub up arrow r arrow. pi. sup +. pi. sup minus p at 5. 98 and 11. 85 GeV/ c

Journal Article · · Physical Review, D (Particles Fields); (United States)
 [1]; ;  [2]
  1. Physics Department, Dawson College, Montreal, Quebec, H3Z 1A4 (Canada) McGill University, Montreal, Quebec, H3A 2T8 (Canada)
  2. Departement de Physique des Particules Elementaires, Centre d'Etudes Nucleaires, Saclay (France)
We present a model independent amplitude analysis of reaction {pi}{sup +}{ital n}{sub {up arrow}}{r arrow}{pi}{sup +}{pi}{sup {minus}}{ital p} at 5.98 and 11.85 GeV/{ital c} using Saclay data obtained with a transversely polarized deuteron target at the CERN Proton Synchrotron. The analysis makes use of the data in two sets of binnings to examine the dependence of amplitudes on momentum transfer {ital t} ({minus}{ital t}{le}1.0 (GeV/{ital c}){sup 2}) in the {rho}{sup 0} mass region and their dependence on dipion mass below 1000 MeV for momentum transfers {minus}{ital t}=0.2--0.4 (GeV/{ital c}){sup 2}. The analysis is performed in both {ital t}-channel and {ital s}-channel helicity frames of the dimeson state and it is verified by comparison with linear bounds on the moduli. The data yield two solutions for 8 moduli and 6 cosines of relative phases of nucleon transversity amplitudes with dimeson spin {ital J}=0 ({ital S} wave) and {ital J}=1 ({ital P} wave). The two solutions differ mainly in the {ital S}-wave contributions. Both solutions require nonzero nucleon helicity-nonflip amplitudes ({ital A}{sub 1} exchange) with phases different from phases of nucleon helicity-flip amplitudes ({pi} exchange). Natural exchange amplitudes ({ital A}{sub 2} exchange) with opposite nucleon transversities show a crossover in their {ital t} dependence at {minus}{ital t}{sub {ital c}}=0.4--0.5 (GeV/{ital c}){sup 2} which has not been observed in the earlier amplitude analysis of {pi}{sup {minus}}{ital p}{sub {up arrow}}{r arrow}{pi}{sup {minus}}{pi}{sup +}{ital n} at 17.2 GeV/{ital c}.
OSTI ID:
5135472
Journal Information:
Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 45:1; ISSN PRVDA; ISSN 0556-2821
Country of Publication:
United States
Language:
English