We present a new technique for analyzing multibody states. This analysis makes possible the selection of samples of events that contain only resonances, particle correlations, or phase space. A unique feature of this analysis is that every event in the data is assigned to a particular sample. The three-body final state π++p→p+π++π0 is analyzed as an example.
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The pπ+π0 and pπ+π+π− final states from π+p interactions at 3.9 GeV/c have been analyzed by the prism-plot technique and the following three quasi-two-body channels have been studied in detail: π+p→ρ+p, π+p→π0Δ++, and π+p→ρ0Δ++. Results are presented on cross sections, differential cross sections, and single and joint spin density matrix elements. These are compared with the Dar-Watts-Weisskopf absorption model and Reggeized pion-exchange model predictions. Relations among joint spin density matrix elements for ρ0Δ++ are compared with quark-model predictions.
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Results of a high-statistics study of π++p→ρ++p at 1.55-1.84 GeVc are consistent with dominance of π and ω exchange close to threshold. A pronounced dip in ρ00sdσdt at −t≃0.4 GeV2 may be attributed to pion exchange with strong absorption.
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We have analyzed the two-prong final states in π+p interactions at 3.9 GeVc. Our result for elastic scattering is σ (elastic) = 6.50±0.1 mb (statistical error only). We find the elastic slope to be 6.61±0.14 (GeVc)−2. We find the elastic forward cross section to be 40.0±1.4 mb(GeVc)2. We have applied a longitudinal-momentum analysis to the one-pion-production channel. We find the cross section for the reaction π++p→π++π0+p to be 2.30±0.06 mb and that for π++p→π++π++n to be 1.45±0.05 mb. For resonance-production cross sections in these channels we find Δ(1236)=0.60±0.07 mb, ρ(760)=0.86±0.06 mb, and diffraction dissociation = 1.69±0.11 mb. We find that we can satisfactorily fit all distributions in the one-pion-production channel without assuming any phase-space production. In the missing-mass channel we observe dominant Δ++(1236) production plus evidence for A2+ production.
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Results are presented on the quasi-two body reactions π + p → Δ ++ π 0 and π + p → Δ s ++ η and 5.45 GeV/ c . Differential cross sections and Δ ++ spin density matrix elements in the t -channel and s -channel helicity systems are presented and compared with a Regge exchange model and the dual absorptive model.
LINEAR BACKGROUND ASSUMED.
VALUE OBTAINED FROM 4-PRONG EVENTS USED, I. J. BLOODWORTH ET AL., NP B39, 525 (1972).
NORMALIZED TO QUOTED TOTAL CROSS SECTION. NO BACKGROUND SUBTRACTION.
A sample of 43000 two-prong events obtained at a momomentum of 11.7 GeV/c is used to determine the cross-sections of the fitted channels, and to study the reaction π+p→π+pπ0. We investigate in particular the quasi-two-body channels π0Δ++ and ρ+p.
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Cross sections are presented for all final states without strange-particle production. Contributions to single-pion production are found from (i) Δ(1238)π, (ii) ρ+p, (iii) nucleon diffractive dissociation into Nπ, (iv) N*(1688)π+, and (v) "phase space." Processes (i), (ii), and (iii) are studied in some detail taking into account overlaps between the various subchannels.
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'JM'.
'JM'. USING DATA WITH 1.12 < M(P PI+) < 1.32 GEV AND COS(P PI DECAY ANGLE IN JACKSON FRAME) < 0.
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