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The rr- + p- n + rr0 charge-exchange scattering and the rr- + p- n + 1J ( 1J- 2y) reaction were investigated in 1.55-4.5 BeVIc region in a 17-liter propane-xenon bubble chamber. The total cross sections of both reactions were measured in this region. The angular distributions of the rr0 mesons in the charge-exchange reaction were obtained. The backward exchange-scattering cross sections du( rr- + p- n + rr 0 )ldQ were estimated.
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We report differential cross sections for π − p → n π 0 in the backward hemisphere at incident momenta of 2.6, 3.5, 4.3, 6.0, and 8.0 GeV/c. We observe less pronounced structure than some previous measurements with a shallow dip displaced from that seen in π + p elastic scattering.
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Precise measurements of the differential cross sections on the π − p→ π 0 n charge exchange scattering have been performed at six incident beam momenta of 1969, 2172, 2370, 2569, 2767 and 2965 MeV/ c covering a wide angular range of −0.95 < cos θ π ∗ < 0.95, where θ π ∗ is an emission angle of π 0 meson in the c.m.s. The results are compared with predictions of recent partial wave analyses.
Total cross sections obtained by fitting the Legendre polynomials to the DCS data.
Statistical errors only. Cos(theta) bin width is +- 0.025.
Polarization parameters for the π − p → π 0 n charge exchange scattering have been measured at eight beam momenta between 1965 and 4220 MeV/ c using two different experimental set-ups. The angular range covered is −0.90 < cos θ π ∗ < 0.95 at the five momenta of 1965, 2168, 2360, 2566 and 2960 MeV/ c , where θ π ∗ is the emission angle of the π 0 meson in the c.m.s.. For three momenta of 2770, 3490 and 4220 MeV/ c , the measurements cover the forward angles of 0.1 < cos θ π ∗ < 1.0 . The results are compared with the predictions of π N partial wave analyses.
Polarisation measurements from SETUP1. Errors are statistical only.
Polarisation measurements from SETUP2. Errors are statistical only.
Legendre polynomial coefficients for fit to differential cross section data.
Measurements have been made of the total charge-exchange cross section π − p to π 0 n over the laboratory kinetic energy range 90 to 290 MeV. The data have an absolute accuracy of typically 1%, and have here been used to determine the pion-nucleon P 13 phase shift.
QUADRATIC INTERPOLATION.
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This paper presents the results of a study of the dominant neutral final states from π−p interactions. The data were obtained in an experiment performed at the Brookhaven National Laboratory Alternating Gradient Synchrotron, using a set of steel-plate optical spark chambers surrounding a liquid-hydrogen target. We present differential and total cross sections for the reactions (1) π−p→n+π0 and (2) π−p→n+η0(η0→2γ) and total cross sections for the reactions (3) π−p→n+kπ0 (k=2, 3, 4, and 5) and (4) π−p→all neutrals for eighteen values of beam momentum in the interval 1.3 to 4.0 GeV/c. The angular distributions for (1) and (2) have been analyzed in terms of expansions in Legendre polynomials, the coefficients for which are also given.
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SIG = 4*PI*LEG(L=0).
FORWARD DIFFERENTIAL CROSS SECTION CALCULATED FROM LEGENDRE POLYNOMIAL COEFFICIENTS AND ERROR MATRICES.
Results are presented of polarization parameter measurements for the reaction π − p→ π 0 n at 22 momenta between 617 and 2267 MeV/ c . These results are generally in agreement with those of previous measurements and in qualitative agreement with predictions of phase-shift analyses. Together with the recently published differential cross-section measurements, they provide a comprehensive set of data for this reaction in the resonance region.
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We present results of an experiment to measure the differential cross section of the reaction π−p→π0n between the forward and backward peaks. The measurements were made at incident π− momenta of 3.67 and 4.83 GeVc. The t range 1.7<~|t|<~4.9 (GeVc)2 was covered at the lower momentum and 1.8<~|t|<~7 (GeVc)2 at the higher momentum. At the lower momentum the cross section is essentially constant between |t|=2.4 and 4.8 (GeVc)2 while at the higher momentum the angular distribution exhibits a broad minimum centered at |t|=4.4 (GeVc)2.
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The differential cross section for π − p → π 0 n has been measured in the t range 1.8 ⩽ | t | ⩽ 8.2 (GeV/ c ) 2 by a counter-spark chamber experiment detecting the neutron and both π 0 decay photons. A broad minimum was found, centered at | t | = 5.2 (GeV/ c ) 2 .
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The polarization parameter P(t) for the reaction π−p→π0n has been measured at 3.5 and 5.0 GeV/c over the range 0.2<~−t<~1.8 (GeV/c)2. The two γ rays from the π0 decay were detected in a large lead-glass hodoscope. The results agree with the positive polarization values found in earlier Argonne National Laboratory data at −t<0.35 (GeV/c)2. P(t) drops to a small value near t=−0.6 (GeV/c)2 and remains the same out to t=−1.8 (GeV/c)2.
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The π−+p→π0+n differential cross section at 180° has been measured for 52 values of π− momentum from 1.8 to 6.0 GeV/c using a constant-geometry detection system. The average statistical uncertainty is ∼5% and the systematic uncertainty is ∼10%. The details of the experiment and the data analysis are discussed. The data are compared with those of other experiments with which they are generally in agreement. One set of data disagrees with those presented here and a possible reason for this is discussed. A five-parameter fit of the predictions of a dual-resonance model to our data gave excellent agreement. The differential cross sections at 180° for π±p elastic scattering have been compiled and the moduli and relative phase of the T=12 and T=32 pion-nucleon s- and u-channel amplitudes (|A12|, |A32|, and cosδ) have a minimum at u=0.4 GeV/c and, in the s channel, a corresponding minimum at s=2.2 GeV/c.
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The differential cross section for the reaction π − p→n π ° has been measured with high statistics at six incident beam momenta between 1.0 and 2.4 GeV/ c . The results are compared with predictions of recent phase shift analyses and forward dispersion relations.
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FROM EXTRAPOLATING THE LEGENDRE POLYNOMIAL FITS.
THE LEGENDRE POLYNOMIAL FITS WERE CONSTRAINED IN THE EXTREME BACKWARD DIRECTION BY DATA AT THETA = 180 DEG FROM OTHER EXPERIMENTS.
Measurements of the polarization parameter of the reactions π − p → π 0 n and π − p → η n at 4.90 and 7.85 GeV/ c and for a squared four-momentum transfer − t ranging from 0.1 to 2.0 (GeV/ c ) 2 have been achieved by using a butanol polarized proton target and detecting only the two γ's from the neutral meson decay. The background due to events involving bound protons has been separately measured and subtracted out. A large positive polarization has been found for the reaction π − p → π 0 n. It is consistent with other pion-nucleon scattering data connected by isospin conservation. The polarization for the reaction π − p → η n is not significantly different from zero within the large experimental errors.
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Results are presented of differential cross-section measurements for the reaction π − p→ π 0 n; π 0 → γγ at 22 incident pion momenta between 618 and 2724 MeV/ c . The results are in good agreement with those of other experiments. They represent the first comprehensive set of high statistics measurements of the π − p charge-exchange differential cross section at closely spaced momenta in the resonance region.
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Final results are presented from a spark-chamber experiment performed at the Princeton-Pennsylvania Accelerator to measure the differential cross section near 0° for the reaction π−p→π0n. The data are extrapolated to 0° and the results of the extrapolation are compared with the results of other experiments and with dispersion relation predictions. The values of the forward-scattering amplitude for the fifteen values of incident π− momentum at which measurements were made are as follows: (p (MeV/c), (dσdΩ)0° (mb/sr)): (561,3.28), (636,2.95), (687,3.38), (750,2.48), (802,1.33), (930,2.42), (1005,3.15), (1030,3.43), (1077,1.70), (1134,1.04), (1434,0.31), (1579,0.56), (1711,0.73), (1914,0.87), (2106,0.56). The combined statistical and systematic uncertainties in these values is about ±9%. A description of the apparatus, a discussion of the methods of analysis, and a discussion of the errors contributing to the uncertainties in the above results are included in the text.
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Small-angle differential cross sections are presented here for π−+p→π0+n charge-exchange scattering between 2.4 and 3.8 GeV/c. The differential cross section near t=0 displays two minima and one maximum in this momentum interval, reflecting the presence of the N32*(2420), N32*(2850), and N12*(2650) resonances; at larger t values, the cross sections fall off exponentially as a function of t, just as has been previously observed for charge-exchange scattering above 6 GeV/c. The pion-charge-exchange data reported here at 6 and 10 GeV/c extend out to large angles, showing a maximum near t=0, followed by an exponential falloff as e10t, a minimum near −t=0.6 (GeV/c)2, and then a second maximum near −t=1.0 (GeV/c)2. The π−+p→η0+n differential cross section shows a maximum near t=0, followed by an exponential falloff as e4t, much less steep than the π0 slope. These data are compared to our previously published data and to those of the Saclay-Orsay group.
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Results of a measurement of the π−p charge-exchange process at backward angles are presented. Differential cross sections were measured in the angular region −0.5<cosθ*<−1.0 at incident momenta of 2, 3, 4, 5, and 6 GeV/c. An additional background subtraction to a version of the data published previously has a significant effect at 6 GeV/c and brings the data into agreement with more recent measurements. The 6-GeV/c data were combined with existing measurements of the differential cross sections for backward π+p and π−p elastic scattering to yield values for the isotopic-spin-½ and −32 u-channel and s-channel amplitudes for backward pion-nucleon scattering and for the magnitude of the phases between them. It is found that the u-channel amplitudes can be explained by pure Regge-pole (Δδ, Nα) exchange only near the extreme backward direction, but that a Reggeized absorption model agrees at least qualitatively with the data. The phase difference between the I=12 and 32 s-channel amplitudes is approximately 90° over the region −0.8<u<0 (GeV/c)2.
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We have studied neutral final states produced in π−p collisions at momenta of 1.71, 1.89, 2.07, 2.27, and 2.46 GeVc, by observing the γ rays emitted. In particular, measurements are presented of (i) π−p→π0n, for which the Regge-pole fit at momenta ≥5.9 GeVc also agrees rather well here; (ii) π−p→η0n, for which the Regge model which fits at higher energies does not agree here; (iii) π−p→π0γn, in which there is some evidence for a diffraction dissociation process as well as ω0-meson production; (iv) π−p→π0π0n, which is dominated by production of N*0(1236)π0 and by peripheral production of pion pairs. In (iv), the former process is found to fit with the same Reggeized ρ-meson exchange model as charge-exchange scattering, while the latter gives indication of the s-wave ππ interaction. An account is given of new techniques, particularly in the data analysis, which were developed in the course of this work.
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Results are presented of measurements of the polarisation parameter for the reaction π−p→π°n : π°→γγ at 22 incident momenta in the resonance region. These results are generally in agreement with those of previous measurements and in qualitative agreement with predictions of phase shift analyses.
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