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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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Analysing power for quasi-elastic pp scattering in carbon and for elastic pp scattering on free protons

Bystricky, J. ; Deregel, J. ; Lehar, F. ; et al.
Lett.Nuovo Cim. 40 (1984) 466-470, 1984.
Inspire Record 1388775 DOI 10.17182/hepdata.37297

The ratio of the analysing powers for quasi-elastic pp scattering in carbon and for elastic scattering on free protons was measured fromT = 0.52 to 2.8 GeV by scattering of the SATURNE II polarized proton beam on carbon and CH2. It was found to have a maximum at about 0.8 GeV. The energy dependence for quasielastic scattering on carbon had not been measured before above 1 GeV. The observed effect was not expected from simple models.

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$\pi$-proton scattering at 516, 616, 710, 887, and 1085 MeV

Gbaed, F. ; Montanet, L. ; Lehmann, P. ; et al.
Nuovo Cim. 22 (1961) 193-198, 1961.
Inspire Record 1187691 DOI 10.17182/hepdata.37734

We present results on .~--p seattering at kinetic energies in the laboratory of 516, 616, 710, 887 and 1085MeV. The data were obtained by exposing a liquid hydrogen bubble chamber to a pion beam from the Saelay proton synchrotron Saturne. The chamber had a diameter of 20 cm and a depth of 10 cm. There was no magnetic field. Two cameras, 15 em apart, were situated at 84 cm from the center- of the chamber. A triple quadrnpole lens looking at an internal target, and a bending magnet, defined the beam, whose momentum spread was less than 2%. The value of the momentum was measured by the wire-orbit method and by time of flight technique, and the computed momentum spread was checked by means of a Cerenkov counter. The pictures were scanned twice for all pion interactions. 0nly those events with primaries at most 3 ~ off from the mean beam direction and with vertices inside a well defined fiducial volume, were considered. All not obviously inelastic events were measured and computed by means of a Mercury Ferranti computer. The elasticity of the event was established by eoplanarity and angular correlation of the outgoing tracks. We checked that no bias was introduced for elastic events with dip angles for the scattering plane of less than 80 ~ and with cosines of the scattering angles in the C.M.S. of less than 0.95. Figs. 1 to 5 show the angular distributions for elastic scattering, for all events with dip angles for the scattering plane less than 80 ~ . The solid curves represent a best fit to the differential cross section. The ratio of charged inelastic to elastic events, was obtained by comparing the number of inelastic scatterings to the areas under the solid curves which give the number of elastic seatterings.

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Angular dependence of the pp elastic scattering spin correlation parameter Ann-00 between 0.8 and 2.8 GeV. II. Results for higher energies

Allgower, C.E. ; Ball, J. ; Beddo, M.E. ; et al.
Phys.Rev.C 64 (2001) 034003, 2001.
Inspire Record 561777 DOI 10.17182/hepdata.25291

Measurements at 18 beam kinetic energies between 1975 and 2795 MeV and at 795 MeV are reported for the pp elastic scattering spin correlation parameter A00nn=(N,N;0,0)=CNN=ANN. The c.m. angular range is typically 60°-100°. These results are compared to previous data from Saturne II and other accelerators. A search for energy-dependent structure at fixed c.m. angles is performed. Comparisons are made to phase shift analysis and theoretical model predictions of this spin observable.

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Measured values of CNN at EKIN 795 Mev.. Fractional systematic uncertainty in the absolute beam and target polarization is +-0.032.

Measured values of CNN at EKIN 1975 Mev.. Fractional systematic uncertainty in the absolute beam and target polarization is +-0.052.

Measured values of CNN at EKIN 2035 Mev (from run period III).. Fractional systematic uncertainty in the absolute beam and target polarization is +-0.051.

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Angular dependence of the p p elastic scattering spin correlation parameter A(00nn) between 0.8 and 2.8 GeV: Results for 1.80-GeV to 2.24-GeV

Allgower, C.E. ; Ball, J. ; Barabash, L.S. ; et al.
Phys.Rev.C 62 (2000) 064001, 2000.
Inspire Record 539075 DOI 10.17182/hepdata.25464

Measurements at 19 beam kinetic energies between 1795 and 2235 MeV are reported for the pp elastic scattering spin correlation parameter A00nn=ANN=CNN. The c.m. angular range is typically 60–100°. The measurements were performed at Saturne II with a vertically polarized beam and target (transverse to the beam direction and scattering plane), a magnetic spectrometer and a recoil detector, both instrumented with multiwire proportional chambers, and beam polarimeters. These results are compared to previous data from Saturne II and elsewhere.

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Measured values of CNN at EKIN 1795 Mev.. Fractional systematic uncertainty in the absolute beam and target polarization is +-0.110.

Measured values of CNN at EKIN 1845 Mev.. Fractional systematic uncertainty in the absolute beam and target polarization is +-0.073.

Measured values of CNN at EKIN 1935 Mev.. Fractional systematic uncertainty in the absolute beam and target polarization is +-0.095.

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Angular dependence of the pp elastic-scattering analyzing power between 0.8 and 2.8 GeV. II. Results for higher energies

Allgower, C.E. ; Ball, J. ; Beddo, M.E. ; et al.
Phys.Rev.C 60 (1999) 054002, 1999.
Inspire Record 508562 DOI 10.17182/hepdata.25565

Measurements at 18 beam kinetic energies between 1975 and 2795 MeV and at 795 MeV are reported for the pp elastic-scattering single spin parameter Aooon=Aoono=AN=P. The c.m. angular range is typically 60–100°. These results are compared to previous data from Saturne II and other accelerators. A search for energy-dependent structure at fixed c.m. angles is performed, but no rapid changes are observed.

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Measured values of the P P analysing power at kinetic energy 0.795 GeV. Therelative and additive systematic errors are +- 0.018 and 0.0007.

Measured values of the P P analysing power at kinetic energy 1.975 GeV. Therelative and additive systematic errors are +- 0.045 and 0.002.

Measured values of the P P analysing power at kinetic energy 2.035 GeV fromrun I. The relative and additive systematic errors are +- 0.044 and 0.002.

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Angular dependence of the p p elastic scattering analyzing power between 0.8-GeV and 2.8-GeV. 1. Results for 1.80-GeV to 2.24-GeV

Allgower, C.E. ; Ball, J. ; Barabash, L.S. ; et al.
Phys.Rev.C 60 (1999) 054001, 1999.
Inspire Record 508563 DOI 10.17182/hepdata.25566

Experimental results are presented for the pp elastic-scattering single spin observable Aoono=Aooon=AN=P, or the analyzing power, at 19 beam kinetic energies between 1795 and 2235 MeV. The typical c.m. angular range is 60–100°. The measurements were performed at Saturne II with a vertically polarized beam and target (transverse to the beam direction and scattering plane), a magnetic spectrometer and a recoil detector, both instrumented with multiwire proportional chambers, and beam polarimeters.

21 data tables match query

Measurement values of the P P analysing power at kinetic energy 1.795 GeV. The relative and additive systematic errors are +- 0.106 and 0.003.

Measurement values of the P P analysing power at kinetic energy 1.845 GeV. The relative and additive systematic errors are +- 0.068 and 0.001.

Measurement values of the P P analysing power at kinetic energy 1.935 GeV. The relative and additive systematic errors are +- 0.091 and 0.003.

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Elastic and quasi-elastic p p scattering in Li-6_H and Li-6_D targets between 1.1-GeV and 2.4-GeV.

Ball, J. ; Allgower, C.E. ; Beddo, M. ; et al.
Eur.Phys.J.C 11 (1999) 51-67, 1999.
Inspire Record 505045 DOI 10.17182/hepdata.43403

A polarized proton beam extracted from SATURNE II, the Saclay polarized target with$^6$Li compounds, and

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Analysing power measurements in the scattering of polarized protons from either hydrogen in the LiH target or on bound protons in the LiD target. The three sets of results are independent.

Analysing power measurements in the scattering of polarized protons from either hydrogen in the LiH target or on bound protons in the LiD target. The three sets of results are independent.

Analysing power measurements in the scattering of polarized protons from either hydrogen in the LiH target or on bound protons in the LiD target. The three sets of results are independent.

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Measurement of the p p analyzing power in the vicinity of 2.20-GeV.

Ball, J. ; Beddo, M. ; Bedfer, Y. ; et al.
Eur.Phys.J.C 10 (1999) 409-413, 1999.
Inspire Record 510350 DOI 10.17182/hepdata.43331

The pp elastic scattering analyzing power was measured in small energy steps in the vicinity of the accelerator depolarizing resonance $\gamma G= 6 $ at 2.202 GeV.

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Analysing power measurements in P P elastic scattering LEN(C=CU) is the length of CU degrader thickness used in each group.

Analysing power measurements in P P elastic scattering LEN(C=CU) is the length of CU degrader thickness used in each group.

Analysing power measurements in P P elastic scattering LEN(C=CU) is the length of CU degrader thickness used in each group.

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p p elastic scattering polarization transfer K(onno) and depolarization D(onon) between 1.94-GeV and 2.80-GeV.

Allgower, C.E. ; Ball, J. ; Barabash, L.S. ; et al.
Eur.Phys.J.C 5 (1998) 453-460, 1998.
Inspire Record 481194 DOI 10.17182/hepdata.43094

A polarized proton beam extracted from SATURNE II and the Saclay polarized proton target were used to measure the rescattering observables$K_{onno}$and

27 data tables match query

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