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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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$K^- p$ elastic scattering at 10 GeV/c

The Aachen-Berlin-CERN-London (I.C.)-Vienna collaboration Aderholz, M. ; Bartsch, J. ; Keppel, E. ; et al.
Phys.Lett.B 24 (1967) 434-437, 1967.
Inspire Record 1392680 DOI 10.17182/hepdata.29583

K − p elastic scattering at 10 GeV/ c is studied on ∼3600 bubble chamber events. The elastic cross section is found to be σ el = (3.20 ± 0.14)mb and the ratio σ el σ tot = (0.142 ± 0.006) , that is below the upper limit of 0.185 suggested in a model by Van Hove. The value of the forward differential cross section is consistent with zero real part to the scattering amplitude. The slope of d σ d t is similar to that for π ± and greater than that of K + , with no evidence for shrinkage of the diffraction peak. No events of backward scattering were observed. The Regge-pole model of Phillips and Rarita gives a good fit to the data.

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A Study of $K^+ p$ Elastic Scattering and the Reaction $K^+ p \to K^+ p \pi^+ \pi^-$ at 70-{GeV}/$c$

The Brussels-Genoa-Mons-Nijmegen-Serpukhov-CERN collaboration Barth, M. ; Wolf, A.E. De ; Johnson, D.P. ; et al.
Z.Phys.C 16 (1982) 111, 1982.
Inspire Record 181354 DOI 10.17182/hepdata.41205

Results are presented onK+p elastic scattering and on the reactionK+p→K+pπ+π− at 70 GeV/c. For the

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INTEGRATION OVER RANGE OF ABS(T) FROM 0 TO 1 GEV.

ELASTIC DIFFERENTIAL CROSS SECTION AT T=0 DERIVED FROM THE OPTICAL THEOREM.


Inelastic Diffractive Scattering at the CERN ISR

The CHLM collaboration Albrow, M.G. ; Bagchus, A. ; Barber, D.P. ; et al.
Nucl.Phys.B 108 (1976) 1-29, 1976.
Inspire Record 3424 DOI 10.17182/hepdata.8494

The properties of the diffractive peak observed in the mass spectra of systems recoiling against observed high-momentum protons emerging from pp collisions at the CERN ISR have been investigated. The cross sections in this peak have been found to have a steep t dependence which flattens out as | t | increases. The high mass side of the peak varies approximately as 1/ M 2 (where M is the missing mass of the recoiling system) and scales well in terms of the variable M 2 / s . The position of the maximum has been observed to move to lower values of M 2 / s as the kinematic boundary of this variable decreases with increasing s . The measured cross sections, integrated up to M 2 / s =0.05, rise by (15±5)% over the s range 549 to 1464 GeV 2 .

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Analyzing power measurement of p p elastic scattering in the Coulomb - nuclear interference region with the 200-GeV/c polarized proton beam at Fermilab

The E581/704 collaboration Akchurin, N. ; Langland, J. ; Onel, Y. ; et al.
Phys.Rev.D 48 (1993) 3026-3036, 1993.
Inspire Record 364576 DOI 10.17182/hepdata.22670

The analyzing power AN of proton-proton elastic scattering in the Coulomb-nuclear interference region has been measured using the 200-GeV/c Fermilab polarized proton beam. A theoretically predicted interference between the hadronic non-spin-flip amplitude and the electromagnetic spin-flip amplitude is shown for the first time to be present at high energies in the region of 1.5 × 10−3 to 5.0 × 10−2 (GeV/c)2 four-momentum transfer squared, and our results are analyzed in connection with theoretical calculations. In addition, the role of possible contributions of the hadronic spin-flip amplitude is discussed.

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Analyzing Power Measurements of Coulomb Nuclear Interference With the Polarized Proton and Anti-proton Beams at 185 GeV/c

The E581/704 collaboration Akchurin, N. ; Carey, David C. ; Coleman, R. ; et al.
Phys.Lett.B 229 (1989) 299-303, 1989.
Inspire Record 280476 DOI 10.17182/hepdata.29782

The analyzing power A N of proton-proton, proton-hydrocarbon, and antiproton-hydrocarbon, scattering in the Coulomb-nuclear interference region has been measured using thhe 185 GeV/ c Fermilab polarized-proton and -antiproton beams. The results are found to be consistent with theoretical predictions within statistical uncertainties.

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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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Differential Cross-Sections for Elastic pi- p Scattering at 16 Momenta Between 996-MeV/c and 1342-MeV/c

Barber, P.C. ; Broome, T.A. ; Duff, B.G. ; et al.
Nucl.Phys.B 84 (1975) 109-121, 1975.
Inspire Record 89154 DOI 10.17182/hepdata.32217

Differential cross sections for elastic scattering of negative pions on protons are presented for 16 momenta between 996 MeV/ c and 1342 MeV/ c . The cross sections are compared with the predictions from published phase-shift analyses.

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K- p Elastic Scattering Between 1.73-GeV/c and 2.47-GeV/c

Barber, P.C. ; Broome, T.A. ; Duff, B.G. ; et al.
Nucl.Phys.B 102 (1976) 365-380, 1976.
Inspire Record 2160 DOI 10.17182/hepdata.36077

Differential cross sections for the elastic scattering of negative kaons on protons are presented for 19 momenta between 1.732 GeV/ c and 2.466 GeV/ c . The general features of the cross sections are 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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