A detailed account is given of high-precision measurements of the total hadronic cross sections of proton-antiproton and proton-proton interactions at centre-of-mass energies of 30.6, 52.8 and 62.7 GeV. The experiment was performed at the CERN Intersecting Storage Rings (ISR) using the total interaction-rate method, in which additive correction terms for trigger losses were held to less than 6% of the final result. An experimental determination of the vertical beam-displacement scale permitted luminosity-monitor calibrations to be made with high intrinsic accuracy. The overall precision (systematic and statistical errors combined) achieved in the total cross sections was ± 1.1% for proton-antiproton reactions and 0.7% for proton-proton reactions. In the proton-proton case the measurement was the most precise such measurement made at the ISR.
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Results of two studies of small angle elastic scattering are presented. The first experiment measured hadron-nucleus elastic scattering at 70, 125, 175 GeV/c incident momentum. The second experiment is a high statistics study of hadron-proton elastic scattering at 200 GeV/c incident momentum. Hadron-nucleus elastic scattering was measured for $\mu^{\pm}$, $K^{\pm}$, $p$, and $\bar{p}$ scatterinq from Be, C, Al, Cu, Sn, and Pb targets at .incident beam momenta of 70 and 175 GeV/c and for $\mu^+$, $K^+$, and $p$ scattering from Be, Al, and Pb targets at an incident beam momentum of 125 GeV/c. In all cases the minimum -t is 0.001 $(GeV/c)^2$ ; the maximum -t is 0.07, 0.16. 0.30 ($GeV/c)^2$ for incident beam momenta of 70, 125, 175 GeV/c respectively. Parameterizations of the differential cross section, $d\sigma/dt$, in the forward direction are presented....
X ERROR D(P)/P = 0.1000 PCT.
We measured the differential cross section for p̄p and pp elastic scattering in the momentum-transfer range 0.01 <| t | < 1.0 GeV 2 at the CERN Intersecting Storage Rings with center-of-mass energy s = 52.8 GeV . Fitting the differential cross section with an exponential [ A exp ( bt )], we found b p p = 13.92 ± 0.59 GeV −2 for | t | < 0.05 GeV 2 , whilst for | t | > 0.09 GeV 2 , b p p = 10.68 ± 0.26 GeV −2 . Using the optical theorem, we obtained for the total cross section σ tot ( p p)= 44.86 ± 0.78 mb and, by integrating the differential cross section, we obtained for the total elastic cross section σ el ( p p) = 7.89 ± 0.28 mb . Calculations of σ tot combining elastic-rate and total-rate measurements are also given. All of these measurements were also performed for pp scattering at the same energy, and the results for both reactions are compared.
NUMERICAL VALUES OF DATA ON FIGURES TAKEN FROM PREPRINT CERN-EP/82-65.
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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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TABLE ALSO GIVES SIG, SLOPE AND T-RANGE USED IN FIT.
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