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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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Proton-proton scattering at 8.5 Bev

Seb, Do In ; Kirillova, L.F. ; Markov, P.K. ; et al.
Sov.Phys.JETP 14 (1962) 1243-1248, 1962.
Inspire Record 1393118 DOI 10.17182/hepdata.69762

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2 data tables match query

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Summary data on elastic $pp$ and $pd$ scattering at small angles and the real part of the $pn$-scattering amplitude in the energy interval 1-10 BeV

Dalkhazhav, N. ; Devinski, P.A. ; Zayachki, V.I. ; et al.
Sov.J.Nucl.Phys. 8 (1969) 196-202, 1969.
Inspire Record 1392874 DOI 10.17182/hepdata.69719

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RE/IM MEASUREMENTS TAKEN FROM TABLE 1 OF KIRILLOVA 65.

TABLE 1 (REF. 1 ).

RE/IM MEASUREMENTS TAKEN FROM TABLE 1 OF KIRILLOVA 65.

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Proton-proton Elastic Scattering at 8.35 BeV

Seb, Do In ; Kirillova, L.F. ; Shafranova, M.G. ;
Sov.Phys.JETP 17 (1963) 1000-1003, 1963.
Inspire Record 1387687 DOI 10.17182/hepdata.69225

A more accurate value is obtained for the differential cross section for pp scattering at 8.35 BeV by measurement in photographic emulsions. It is found that the cross section is greater than cited in previous communications [ 3 - 5 ] in a large range of angles. The data are analyzed on the basis of the Regge pole technique and compared with those of other experiments. The total pp elastic scattering cross section is found to be 10.8 :1: 0.8 mb; the mean square interaction radius is (1.07 :1: 0.08) F.

2 data tables match query

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Elastic and inelastic proton-nucleon interactions at high energies

Azimov, S.A. ; Bannik, B.P. ; Grishin, V.G. ; et al.
91-100, 1960.
Inspire Record 1341348 DOI 10.17182/hepdata.19307

None

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Measurement of the Polarization Parameter p, Isospin and Phase Shift Analysis of pi+- p Elastic Scattering at 450-MeV Energy

Bekrenev, V.S. ; Gaditsky, V.G. ; Kruglov, S.P. ; et al.
Sov.J.Nucl.Phys. 24 (1976) 45, 1976.
Inspire Record 109855 DOI 10.17182/hepdata.18360

None

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Elastic pi+ p, K+ p and p p Scattering in the Region of Coulomb-Nuclear Interference at Momenta 42.5-GeV/c and 52.2-GeV/c

Apokin, V.D. ; Vasiliev, A.N. ; Derevshchikov, A.A. ; et al.
Yad.Fiz. 25 (1977) 94-102, 1977.
Inspire Record 108613 DOI 10.17182/hepdata.19035

None

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pi- Meson Elastic Scattering on Proton in the Coulomb-Nuclear Interference Region for Momentum Range from 33-GeV/c Up to 60-GeV/c

Apokin, V.D. ; Vasiliev, A.N. ; Derevshchikov, A.A. ; et al.
Sov.J.Nucl.Phys. 24 (1976) 49, 1976.
Inspire Record 99591 DOI 10.17182/hepdata.35863

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Study of pi- Meson Elastic Scattering by Protons at Small Angles

Apokin, V.D. ; Derevshchikov, A.A ; Matulenko, Yu.A. ; et al.
Yad.Fiz. 21 (1975) 1240-1246, 1975.
Inspire Record 103333 DOI 10.17182/hepdata.19099

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IM(AMP) VIA OPTICAL THEOREM FROM TOTAL CROSS SECTIONS OF L. M. VASILYEV ET AL., PL 36B, 528 (1971).


A measurement of elastic pion-proton scattering at 50 gev

Derevchekov, A.A. ; Golovin, N.I. ; Khodirev, Y.C. ; et al.
Phys.Lett.B 48 (1974) 367-370, 1974.
Inspire Record 95356 DOI 10.17182/hepdata.27998

We have measured elastic pion-proton scattering in a 50 GeV/ c π − beam at the 76 GeV proton synchrotron in Serpukhov. Data are presented for four-momenta transfer squared in the range 0.03 < t < 0.4 (GeV/ c ) 2 .

1 data table match query

SLOPE IS 9.1, +0.2, -0.4 GEV**-2 (INCLUDING SYSTEMATIC ERRORS).