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Measurement of the total cross section and $\rho$-parameter from elastic scattering in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector

The ATLAS collaboration Aad, Georges ; Abbott, Braden Keim ; Abbott, D.C. ; et al.
Eur.Phys.J.C 83 (2023) 441, 2023.
Inspire Record 2122408 DOI 10.17182/hepdata.128017

In a special run of the LHC with $\beta^\star = 2.5~$km, proton-proton elastic-scattering events were recorded at $\sqrt{s} = 13~$TeV with an integrated luminosity of $340~\mu \textrm{b}^{-1}$ using the ALFA subdetector of ATLAS in 2016. The elastic cross section was measured differentially in the Mandelstam $t$ variable in the range from $-t = 2.5 \cdot 10^{-4}~$GeV$^{2}$ to $-t = 0.46~$GeV$^{2}$ using 6.9 million elastic-scattering candidates. This paper presents measurements of the total cross section $\sigma_{\textrm{tot}}$, parameters of the nuclear slope, and the $\rho$-parameter defined as the ratio of the real part to the imaginary part of the elastic-scattering amplitude in the limit $t \rightarrow 0$. These parameters are determined from a fit to the differential elastic cross section using the optical theorem and different parameterizations of the $t$-dependence. The results for $\sigma_{\textrm{tot}}$ and $\rho$ are \begin{equation*} \sigma_{\textrm{tot}}(pp\rightarrow X) = \mbox{104.7} \pm 1.1 \; \mbox{mb} , \; \; \; \rho = \mbox{0.098} \pm 0.011 . \end{equation*} The uncertainty in $\sigma_{\textrm{tot}}$ is dominated by the luminosity measurement, and in $\rho$ by imperfect knowledge of the detector alignment and by modelling of the nuclear amplitude.

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The measured total cross section. The systematic uncertainty includes experimental and theoretical uncerainties.

The measured total cross section. The systematic uncertainty includes experimental and theoretical uncerainties.

The rho-parameter, i.e. the ratio of the real to imaginary part of the elastic scattering amplitude extrapolated to t=0. The systematic uncertainty includes experimental and theoretical uncerainties.

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Scattering of π−Mesons in the Momentum Range 875-1579 MeV/c from a Polarized Proton Target

Duke, P.J. ; Jones, D.P. ; Kemp, M.A.R. ; et al.
Phys.Rev. 166 (1968) 1448-1457, 1968.
Inspire Record 1407765 DOI 10.17182/hepdata.70298

Measurements have been made of the asymmetry in the scattering of π− mesons by a polarized proton target. Scattered π mesons and recoil protons were detected in arrays of scintillation counters; data were obtained at 16 scattering angles at each of 8 beam momenta between 875 and 1578 MeV/c. Analysis of these data together with earlier differential-cross-section measurements shows that there must exist at least three resonances in this energy region: (i) mass 1920 MeV/c2, Γ=170 MeV/c2, I=32, F72; (ii) mass 1682 MeV/c2, Γ=100 MeV/c2, I=12, F52; and (iii) mass 1674 MeV/c2, Γ=100 MeV/c2, I=12, D52.

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The angular distribution of backward elastically scattered pions at 3.55 GeV/c

Baker, W.F. ; Carlson, P.J. ; Chabaud, V. ; et al.
Phys.Lett. 23 (1966) 605-609, 1966.
Inspire Record 1389621 DOI 10.17182/hepdata.29776

The elastic scattering of 3.55 GeV/ c π + and π − mesons by protons was measured at centre-of-mass angles between 165° and 177°. The angular distributions for 864 events show a steeply rising backward peak for π + p, while the shape is less clear for π − p.

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Extrapolations.


Backward π p elastic scattering at 2.85 and 3.30 GeV/c

Baker, W.F. ; Carlson, P.J. ; Chabaud, V. ; et al.
Phys.Lett.B 25 (1967) 361-364, 1967.
Inspire Record 1389663 DOI 10.17182/hepdata.29442

Backward elastic scattering has been measured for π + p at 2.85 and 3.30 GeV/ c and for π − p at 3.30 GeV/ c . The π + p angular distributions show steep backward peaks, whereas the π − p distribution is flatter. At 2.85 GeV/ c the π + p differential cross section close to 180° is more than twice that at 3.30 GeV/ c , supporting the assignment J P = 11 2 + for Δ δ (2420) resonance. The π + p data at 2.85 GeV/ c indicate the onset of a dip at cos θ c.m. ≈ −0.97.

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The data for cos(theta) = 1 is the extrapolation.

The data for cos(theta) = 1 and U = 0 are the extrapolations.

The data for cos(theta) = 1 and U = 0 are the extrapolations.


Absolute p p elastic cross-sections from 492-MeV to 793-MeV using CH-2 targets

Simon, A.J. ; Glass, G. ; McNaughton, M.W. ; et al.
Phys.Rev.C 53 (1996) 30-34, 1996.
Inspire Record 429629 DOI 10.17182/hepdata.25831

pp-elastic differential cross sections are reported at 492 MeV from 40° to 90°, and at 576, 642, 728, and 793 MeV from 75° to 90° c.m., with an absolute accuracy of less than 1%. These data, obtained with polyethylene targets, agree with recent measurements at the same energies obtained with a liquid-hydrogen target. © 1996 The American Physical Society.

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Absolute p p elastic cross-sections from 492-MeV to 793-MeV

Simon, A.J. ; Glass, G. ; McNaughton, M.W. ; et al.
Phys.Rev.C 48 (1993) 662-675, 1993.
Inspire Record 363783 DOI 10.17182/hepdata.26001

Absolute pp-elastic-differential cross sections were measured at incident energies 492, 576, 642, 728, and 793 MeV from about 30° to 90° c.m. The total uncertainty was determined to be less than 1%, made possible by particle counting for beam normalization and extensive cross-checks of systematic effects. These new data are consistent with previous data above 600 MeV but have uncertainties about a factor of 10 smaller. Near 500 MeV these data are consistent with 90° data from TRIUMF, but differ significantly from similar data from PSI; the cause of this discrepancy is discussed.

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Scattering of $\pi^-$ Mesons in the Momentum Range 0.643-{GeV}/$c$ to 2.14-{GeV}/$c$ From a Polarized Proton Target

Cox, C.R. ; Duke, P.J. ; Heard, K.S. ; et al.
Phys.Rev. 184 (1969) 1453, 1969.
Inspire Record 18772 DOI 10.17182/hepdata.13

The asymmetry in the scattering of π− mesons by polarized protons has been measured at 50 different momenta from 0.643 to 2.14 GeV/c. Results were obtained at values of cosθ ranging from approximately +0.9 to -0.95 in the c.m. system at each incident pion momentum. The pion beam was incident on a 7.6-cm-long crystal assembly of lanthanum magnesium nitrate, in which the hydrogen in the water of crystallization was polarized by the "solid effect." The total momentum spread of the beam was 10% (full width at half-height) and data were collected simultaneously in 4 momentum channels, each with 2½% full width at half-height. A gas Čherenkov counter was used to reject incoming electrons. Scattered particles were detected in scintillation counter arrays placed within the 10-cm gap of the polarized target magnet. Encoded information from each array was stored in the memory of a PDP-5 computer connected on-line to a fast electronic logic network. The computer was programmed to classify the events according to momentum and scattering angle and subdivide them into coplanar and noncoplanar categories. The latter provided a measure of the background. The results have been expressed in the form of an expansion in terms of first associated Legendre polynomial series and compared with the predictions of recent phase-shift solutions. It is concluded that although these analyses give satisfactory predictions of the general features of the results, no one solution gives complete agreement with the data above about 1.0 GeV/c.

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THE ENERGY DEPENDENCE OF THE 90-degrees P P ELASTIC SCATTERING DEPOLARIZATION PARAMETER AND AMPLITUDES BETWEEN 0.9-GEV/C AND 1.5-GEV/C

Hollas, C.L. ; Cremans, D.J. ; Ransome, R.D. ; et al.
Phys.Lett.B 143 (1984) 343-346, 1984.
Inspire Record 208375 DOI 10.17182/hepdata.30531

The depolarization parameter D NN for pp elastic scattering at θ cm = 90 ° has been measured at twelve momenta between 0.9 and 1.5 GeV/ c . The moduli of the three transversity amplitudes T 1 , T 3 , and T 4 have been extracted from these data and from previous measurements of the differential cross section and spin correlation parameter A NN (90 °). Smooth energy dependence is found for all three amplitude moduli.

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Axis error includes +- 3/3 contribution (DUE TO UNCERTAINTIES IN THE TARGET ANALYSING POWER).


NEW RESULTS ON KAON - PROTON ELASTIC SCATTERING AT LARGE MOMENTUM TRANSFERS

The Annecy(LAPP)-CERN-Bohr Inst-Genoa-Oslo-London collaboration Asad, Z. ; Baglin, C. ; Bock, R. ; et al.
Phys.Lett.B 123 (1983) 265-268, 1983.
Inspire Record 182422 DOI 10.17182/hepdata.30730

Measurements of the K - p and K + p elastic differential cross sections at 20 and 50 GeV/ c , respectively, have been made in the momentum transfer range 0.7 < ∥ t ∥ < 8.0 GeV/ c .

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An Experimental Study of Large Angle Elastic Scattering of Charged Mesons and Anti-protons on Protons at 20-{GeV}/$c$ and 30-{GeV}/$c$

The Annecy(LAPP)-CERN-Bohr Inst-Genoa-Oslo-London collaboration Baglin, C. ; Bock, R. ; Brobakken, K. ; et al.
Nucl.Phys.B 216 (1983) 1-39, 1983.
Inspire Record 180922 DOI 10.17182/hepdata.34020

A description is given of an experiment to study elastic scattering of π ± , K ± and p on protons at c.m. scattering angles from 45° to 100° at incident laboratory momenta 20 GeV/ c and 30 GeV/ c . The corresponding t range is from −6.2 (GeV/ c ) 2 to −28 (GeV/ c ) 2 . There are no previous observations for these reactions in this t range. High intensity and large geometrical acceptance were required in order to measure the low cross sections. The experiment used a double-arm spectrometer. MWPCs were used for reconstruction, and threshold and differential Čerenkov counters for identification. Scintillation counters, Čerenkov counters and a hadron calorimeter were used in the trigger. The trigger logic utilized specially designed matrices and a hard wired microprocessor. The π − p elastic scattering cross sections follow approximately the dimensional counting rule from 3.5 GeV/ c .and up to 30 GeV/ c . The cross sections decrease by seven orders of magnitude in this energy range. The data is compared to quark models. None of these models give a comprehensive description of the results. However, some modifications to these models improve their consistency with the data.

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EARLIER RESULTS GIVEN IN 'A'.

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EARLIER RESULTS GIVEN IN 'A'.

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