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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.

22 data tables match query

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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Total elastic p p, p d, p n cross-sections in the energy range of 1-70 gev

Beznogikh, G.G. ; Bujak, A. ; Nikitin, V.A. ; et al.
Phys.Lett.B 43 (1973) 85-88, 1973.
Inspire Record 84943 DOI 10.17182/hepdata.28125

The total elastic p-p, p-d and p-n cross sections measured at the Serpukhov accelerator and Dubna synchrophasotron are presented in this paper.

1 data table match query

SLOPE MEASURED FOR -T = 0.08 TO 0.12 GEV**2.


Investigation of elastic proton proton scattering in the coulomb and nuclear interference region in the energy range 8-70 gev.

Bartenev, V.D. ; Beznogikh, G.G. ; Buyak, A. ; et al.
Yad.Fiz. 16 (1972) 96-108, 1972.
Inspire Record 75989 DOI 10.17182/hepdata.19248

None

1 data table match query

No description provided.


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

1 data table match query

No description provided.


Small angle proton proton elastic scattering from 9 to 70 gev/c

Beznogikh, G.G. ; Bujak, A. ; Kirillova, L.F. ; et al.
Phys.Lett.B 39 (1972) 411-413, 1972.
Inspire Record 75806 DOI 10.17182/hepdata.28333

Proton-proton elastic scattering has been measured over the four-momentum transfer squared 0.0007 ⩽ t ⩽ 0.02 GeV 2 /c 2 . A gas hydrogen jet has been used as an internal target of the accelerator. The results indicate that the ratio of the real to the imaginary part of the proton-proton forward scattering amplitude rises smoothly with increasing energy from α = −0.35 ± 0.05 at p = 9.39 GeV/ c to α = −0.092 ± 0.011 at p = 69.8 GeV/ c .

1 data table match query

THE TOTAL ELASTIC CROSS SECTION IS DERIVED FROM THE OPTICAL THEOREM POINT AND SLOPE PARAMETER.