The absolute differential cross sections for ap elastic scattering and for the sum of elastic and quasielastic aa scattering have been measured at a momentum of 17.9 GeV/c in the four-momentum transfer region (0.01 < | t | < 0.2) GeV2/c2 with normalization errors less than 3%. Such measurements in the energy region of a few GeV have been performed for the first time. The measurements have been carried out using the alpha particle beam with the intensity of (1-5)x105 particles/s extracted from the synchrophasotron during 0.3-0.5s. The cryogen target filled with hydrogen (0.847+-0.001 g/cm2) and helium was used. The substance amount along the particle path constituted 0.11 g/cm2 in an unfilled target. The total cross sections, diffraction cone slope parameters and total elastic cross sections for ap and aa scattering have been obtained. The results are compared with the calculations carried out in the frames of the Glauber-Sitenko diffraction multiple scattering theory. The deviation of the calculated differential cross sections from the experimental ones is observed. In the region of the diffraction cone the deviation has a different sign for ap and aa scattering and amounts to 10-15%
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INTEGRATED D(SIG)/D(T).
OBTAINED FROM FIT D(SIG)/D(T)=A*EXP(B*T+C*T**2) IN 0.05 < -T < 0.3.
Differential cross sections for elastic K + p scattering have been measured at nineteen momenta between 0.7 and 1.9 GeV/ c . The data represent between 10 thousand and 20 thousand elastic events at each momentum and cover a wide range of scattering angles ( −0.98 ≲ cos θ ∗ ≲ 0.95 ). A computer controlled system of scintillation counters and acoustic spark chambers was used to detect the elastic events. Various internal consistency checks indicate that the absolute normalization of the data is accurate to within 2–3%. The cross sections show a smooth transition from an isotropic angular distribution to a dominant forward peak over the range covered by the experiment. Phase-shift analyses including these results show little evidence for a direct-channel resonance, and fitting the results by t - and u -channel exchange processes alone gives a good fit.
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The absolute differential cross sections of 17.9 GeV/$c$ $\alpha$-particles scattering on nuclear targets have been measured over a four momentum transfer range of $0.009
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DATA ON THE SUM OF ELASTIC AND QUASIELASTIC CROSS SECTIONS.
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We report results on an elastic cross section measurement in proton-proton collisions at a center-of-mass energy $\sqrt{s}=510$ GeV, obtained with the Roman Pot setup of the STAR experiment at the Relativistic Heavy Ion Collider (RHIC). The elastic differential cross section is measured in the four-momentum transfer squared range $0.23 \leq -t \leq 0.67$ GeV$^2$. We find that a constant slope $B$ does not fit the data in the aforementioned $t$ range, and we obtain a much better fit using a second-order polynomial for $B(t)$. The $t$ dependence of $B$ is determined using six subintervals of $t$ in the STAR measured $t$ range, and is in good agreement with the phenomenological models. The measured elastic differential cross section $\mathrm{d}\sigma/\mathrm{dt}$ agrees well with the results obtained at $\sqrt{s} = 546$ GeV for proton--antiproton collisions by the UA4 experiment. We also determine that the integrated elastic cross section within the STAR $t$-range is $\sigma^\mathrm{fid}_\mathrm{el} = 462.1 \pm 0.9 (\mathrm{stat.}) \pm 1.1 (\mathrm {syst.}) \pm 11.6 (\mathrm {scale})$~$\mu\mathrm{b}$.
Top panel: The $pp$ elastic differential cross section $d\sigma/dt$ fitted with an exponential $A e^{-B(t)|t|}$. Bottom panel: Residuals (Data - Fit)/Error. Uncertainties on the data points are smaller than the symbol size. The vertical scale uncertainty of 2.5% is not included in in the full error.
Results of the exponential function $A e^{-B(t)|t|}$ fit to the elastic differential cross section data as well as the integrated fiducial cross section are listed. Also listed are the corresponding values of the statistical and systematic uncertainties. The scale (luminosity and trigger efficiency) uncertainty of 2.5% applicable to the fit parameter $A$ and fiducial cross section $\sigma^\mathrm{fid}_\mathrm{el}$ is not included in the full error.
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