We have measured differential cross sections for both π+p and π−p elastic scattering at incident-pion kinetic energies of 30, 50, 70, and 90 MeV in the center-of-mass angular range between 50° and 150°. The experiment detected pions scattered from a liquid-hydrogen target with multiwire proportional chambers and scintillation-counter range telescopes. The relative accuracy of each angular distribution is better than 5%, while the absolute cross sections have uncertainties of 4% to 25%. Our results for the absolute cross section for π+p scattering at 30 and 90 MeV are inconsistent with previous measurements. Our π−p measurements comprise the first extensive set of precision differential cross sections below 90 MeV.
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The differential cross section for scattering of pions on deuterons was measured at LAMPF at laboratory momenta of 343, 441, 539, and 637 MeVc, using an E−ΔE method to identify the recoil deuterons. Angles ranged from 40° to 160° in the center of mass system. The momentum resolution was σ=±3.5% and the angular resolution was ± 1.70° in the laboratory system. The experimental method is discussed, and results are presented and compared with other experimental data as well as with various theoretical calculations. [NUCLEAR REACTIONS H2(π,π); E=230,323,417,512 MeV. D2O, CD2 targets. Measured σ(θ), θ=40∘−160∘, Δθ=1.7∘, Δpp=3.5%.]
X ERROR D(THETA) = 1.7000 DEG.
X ERROR D(THETA) = 1.7000 DEG.
X ERROR D(THETA) = 1.7000 DEG.
Elastic scattering of p¯ on p has been studied for cosθc.m. between -0.88 and -1.0 and Plab(p¯) between 0.70 and 2.16 GeV/c. The momentum dependence of the cross section shows a sharp dip at 0.9 GeV/c and a broad peaking around 1.4 GeV/c. The possibility of the peak resulting from direct formation of boson resonances has been studied. Alternatively, a diffraction model agrees qualitatively with our data and other elastic data at different angles.
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The elastic scattering of negative pions on protons at 2.26 GeVc has been studied using the Lawrence Radiation Laboratory 72-in. hydrogen-filled bubble chamber. The elastic scattering cross section is found to be 8.91±0.24 mb. The forward diffraction peak is well fitted by an exponential in the square of the four-momentum transfer, and the slope is found to be 8.8±0.1 GeV−2. The differential cross section is parametrized in terms of three models: optical, strong-absorption, and two-slope. It is found that the two-slope model affords the best description of the data and also does very well in predicting the polarization data of other experiments. The best-fit parameters for all three models are given. In addition, the amplitudes associated with the best fits are given for the strong-absorption and the two-slope models.
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The differential cross section for the process p+p→π++d was measured at 5.0 GeVc for a center-of-mass angle of 90°. The experiment was done on the Argonne ZGS with the same apparatus as was used in a recent 90° proton-proton elastic scattering experiment. The extracted proton beam of the ZGS was made to impinge upon a CH2 target. The pion and deuteron were detected by two spectrometers, each containing magnets and a scintillation-counter telescope, in coincidence. The incident beam flux was measured by a radiochemical analysis of the CH2 target. The 90° cross section at 5.0 GeVc was found to be 35±9 nb/sr.
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