Results are reported on the Δ ++ ϱ 0 and the Δ ++ ω 0 final states obtained from a 4 event/μb exposure of the Argonne National Laboratory 30 inch hydrogen bubble chamber to a π + beam at 5.45 GeV/ c . Data are presented on cross sections, differential cross sections, spin density matrix elements and differential cross-sections weighted by density matrix elements. Certain features of the data relevant to various Regge models are noted and the data is compared to a π -B exchange degenerate Regge model due to Abrams and Maor.
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FROM RESONANCES PLUS BACKGROUND FITS, CORRECTED FOR RESONANCE TAILS AND UNSEEN OMEGA DECAYS.
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Cross sections, differential cross sections, density matrix elements and statistical tensors are given for the reactions π + p → ( ϱ 0 , ω ) Δ ++ at 13.2 GeV/ c . A discussion of the results in terms of particle exchanges, quark model or dipole coupling constraints, and the equal phase hypothesis is presented in some detail for the high statistics ϱ 0 Δ ++ channel.
BREIT-WIGNER FITS WHICH CORRECT FOR RESONANCE TAILS AND BACKGROUNDS.
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JACKSON FRAME DENSITY MATRIX ELEMENTS.
New data are presented, in the form of statistical tensors, for the reactions π + p → ( ϱ 0 , ω ) Δ ++ at 7.1 GeV/ c . Using these data, two types of model-dependent amplitude analyses have been performed. Both analyses, though based on different sets of assumptions, yield results which are in agreement with each other. The structure observed in the magnitudes and phases of the extracted amplitudes is consistent with that expected on the basis of currently accepted phenomenological ideas.
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The joint decay distribution statistical tensors for the reaction π + p→ ϱ 0 Δ ++ have been measured as a function of t at 3.75 GeV/ c . From this data the amplitude components of the reaction were extracted using both t -independent and t -independent methods. The magnitudes of the amplitudes obtained from both methods are found to agree and appear to be insensitive to the fitting methods. The phases are not well determined in the t -independent method. A comparison is made with a similar analysis done at 7.1 GeV/c.
UNITS OF D(SIG)/DT ASSUMED TO BE MUB/GEV**2.
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FROM MAXIMUM LIKELIHOOD FIT TO PARAMETRIZATION OF RESONANCE PRODUCTION CHANNELS.
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Cross sections for resonance production in the reactions π ± p → p π ± π + π − at 16 GeV/ c are determined by a maximum likelihood fit, making use of the measurements of all individual events. The reactions are described by a simple parametrization based on an incoherent superposition of amplitudes for quasi two-body and quasi three-body processes and a non-resonant backgroud. In this way the reflections are accounted for in a consistent way. Thus cross sections are obtained for Δ ++ , Δ 0 , ρ 0 and f 0 production which do not suffer from the uncertainties of background subtraction typical of the usual technique of fitting individual mass distributions.
TWO PARTICLE RESONANCE CROSS SECTIONS.
CHANNEL FRACTIONS FROM THE FITS. THE AUTHORS WARN AGAINST DERIVING CROSS SECTIONS FOR THREE-PARTICLE RESONANCES.
We have analysed the reaction π + p → pπ + π + π − at 16 GeV/c by means of the prism plot analysis (PPA) as proposed by Pless et al. We have separated ten reaction channels contributing to the final state pπ + π + π − and present the results in terms of partial and differential cross sections, invariant mass and decay angular distributions. We show that the PPA is a self-controlling method which is demonstrated by the emergence of a broad (3π) + enhancement around 1800 MeV decaying into ρ 0 π + .
PARTIAL CROSS SECTIONS FOR THE (P PI+ PI+ PI-) FINAL STATE.
The major production channels of four-prong final states resulting from π+p interactions at a center-of-mass energy of 4.5 GeV are studied. In addition to total production cross sections, comprehensive listings of partial and resonance production cross sections are also given for each final state of interest. All final states, including nπ+π+π+π−, are found to exhibit copious resonance production.
PARTIAL CROSS SECTIONS FROM PI+ P --> PI+ P PI+ PI-.
PARTIAL CROSS SECTIONS FROM PI+ P --> PI+ P PI+ PI- PI0.
We have observed the production of high-mass I=32 baryon resonances in π+p interactions at 13 GeV/c. The most prominent of these is found to be the F37 Δ(1950). It is produced by one-pion exchange and the data are well described by on-shell π+p phase shifts. Decays into pπ+ and pπ+π0 are observed and the Δ(1950) is found to have a mass 1.880 ± 0.010 GeV and width of 0.180 ± 0.030 GeV with a production cross section of 43 ± 4 μb.
RESONANCE BACKGROUNDS SUBTRACTED.
The reactions π + p → Δ ++ π + π − and π + p → Δ ++ π + π − π o are used to study ϱ—ω interference at 5.45 GeV/ c . The fitted ϱ mass from a ϱ-ω interference fit is 788 MeV suggesting the possibility of a sum of different interference patterns. Hence the events are weighted by spin density matrix elements which tend to isolate particular exchanges. Results of a fit to these weighted events do not generally agree with the predictions of strong π—B and ϱ—A 2 exchange degeneracy.
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