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We report a study of 20 exclusive reactions measured at the AGS at 5.9 GeV/c incident momentum, 90° center of mass. This experiment confirms the strong quark flow dependence of two-body hadron-hadron scattering at large angle. At 9.9 GeV/c an upper limit had been set for the ratio of cross sections for (p¯p→p¯p)(pp→pp) at 90° c.m., with the ratio less than 4%. The present experiment was performed at lower energy to gain sensitivity, but was still within the fixed angle scaling region. A ratio R(p¯ppp)≈140 was measured at 5.9 GeV/c, 90° c.m. in comparison to a ratio near 1.7 for small angle scattering. In addition, many other reactions were measured, often for the first time at 90° c.m. in the scaling region, using beams of π±, K±, p, and p¯ on a hydrogen target. There are similar large differences in cross sections for other reactions: R(K−p→π+Σ−K−p→π−Σ+)≈112, for example. The relative magnitudes of the different cross sections are consistent with the dominance of quark interchange in these 90° reactions, and indicate that pure gluon exchange and quark-antiquark annihilation diagrams are much less important. The angular dependence of several elastic cross sections and the energy dependence at a fixed angle of many of the reactions are also presented.
Cross sections at 90 degrees in the centre-of-mass.
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We have measured the antiproton-proton elastic differential cross section in the center-of-mass angular range cosθ=−0.985 to +0.40 at six momenta between 1.6 and 2.2 GeV/c in a bubble-chamber experiment. We use the data to look for evidence of direct-channel boson resonances.
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The p¯p elastic-scattering differential cross section shows a minimum at t∼0.5 (GeV/c)2 and a secondary maximum at t∼0.9 (GeV/c)2. The total cross section for the annihilation process p¯+p→π−+π+ is 6.6±3.5 μb; the cross section for p¯+p→K−+K+ is <2.2 μb.
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The differential scattering cross section is presented for p¯p elastic scattering at an incident laboratory momentum of 2.33 GeV/c based upon 11 758 events. The experiment was performed at the Brookhaven National Laboratory using the 31-inch hydrogen bubble chamber and an electrostatically separated beam. The attempts to fit limited regions of the data are presented for different parametrizations. The parametrization which corresponds to two coherent interfering exponentials successfully reproduces a very large t region for the scattering.
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p¯p elastic scattering at an incident beam momentum of 2.85 GeV/c is analyzed using 18 412 events. The simple exponential parametrization of the diffraction peak is found to be a poor representation of the data. Two other parametrizations are tried and the estimates of dσdt at t=0 and of the slope of the diffraction peak are found to differ significantly between various parametrizations. It is found that two coherent interfering exponentials are able to represent the differential cross section over the range 0.04≤|t|≤1.8 (GeV/c)2 with a χ2 probability of approximately 40%.
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The high antiproton-proton luminosity obtained by using a target system consisting of a hydrogen gas-jet crossing a coasting beam of cooled antiproton circulating in one of the rings of CERN's ISR provides the possibility to measure low cross section reactions with very high precision. We present measurements of the antiproton-proton elastic cross section at 90° CM at incident momenta between 3.5 GeV/ c and 5.7 GeV/ c . The precision of these measurements is much higher than previously reported results. The data show that the cross section of this reaction decreases faster than s −12 over this momentum range.
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Differential cross sections have been measured in the region of small forward angles (between 0 and ∼40 mrad) for the elastic scattering reactions pp → pp at 4.2, 7.0 and 10.0 GeV /c and p p → p p at 4.2, 6.0, 8.0 and 10.0 GeV /c . The maximum momentum transfer is ∼0.025 GeV 2 at the lowest and ∼0.10 GeV/c at the highest incident momentum. Values of the slope and the real part of the forward scattering amplitude of the above reactions have been derived; the values obtained are in good agreement with dispersion relations.
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