Measurement of the total cross section from elastic scattering in $pp$ collisions at $\sqrt{s}=8$ TeV with the ATLAS detector

The ATLAS collaboration Aaboud, Morad ; Aad, Georges ; Abbott, Brad ; et al.
Phys.Lett.B 761 (2016) 158-178, 2016.
Inspire Record 1477585 DOI 10.17182/hepdata.73997

A measurement of the total $pp$ cross section at the LHC at $\sqrt{s}=8$ TeV is presented. An integrated luminosity of $500$ $\mu$b$^{-1}$ was accumulated in a special run with high-$\beta^{\star}$ beam optics to measure the differential elastic cross section as a function of the Mandelstam momentum transfer variable $t$. The measurement is performed with the ALFA sub-detector of ATLAS. Using a fit to the differential elastic cross section in the $-t$ range from $0.014$ GeV$^2$ to $0.1$ GeV$^2$ to extrapolate $t\rightarrow 0$, the total cross section, $\sigma_{\mathrm{tot}}(pp\rightarrow X)$, is measured via the optical theorem to be: $\sigma_{\mathrm{tot}}(pp\rightarrow X) = {96.07} \; \pm 0.18 \; ({{stat.}}) \pm 0.85 \; ({{exp.}}) \pm 0.31 \; ({extr.}) \; {mb} \;,$ where the first error is statistical, the second accounts for all experimental systematic uncertainties and the last is related to uncertainties in the extrapolation $t\rightarrow 0$. In addition, the slope of the exponential function describing the elastic cross section at small $t$ is determined to be $B = 19.74 \pm 0.05 \; ({{stat.}}) \pm 0.23 \; ({{syst.}}) \; {GeV}^{-2}$.

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K- p Cross-Sections Between 1.1-GeV/c and 1.4-GeV/c

Griselin, J. ; Givernaud, A. ; Barloutaud, R. ; et al.
Nucl.Phys.B 93 (1975) 189-216, 1975.
Inspire Record 99412 DOI 10.17182/hepdata.6708

K − p reactions have been studied at 13 different incident momenta between 1138 and 1434 MeV/ c . This interval corresponds to a mass of the K − p system varying from 1858 to 1993 MeV. About 300 000 photographs were taken in the 81 cm Saclay hydrogen bubble chamber exposed to a separated K − beam at the CERN proton-synchrotron. A total of about 44 000 events were analyzed, from which partial and differential cross sections were determined. Polarizations were obtained for the two-body reactions where the decay of the Λ or Σ hyperon allowed their measurement. Data for the two-body channels are presented here as well as for the main quasi-two-body reactions.

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Evidence for non-exponential elastic proton–proton differential cross-section at low |t| and $\sqrt{s}$=8 TeV by TOTEM

The TOTEM collaboration Antchev, G. ; Aspell, P. ; Atanassov, I. ; et al.
Nucl.Phys.B 899 (2015) 527-546, 2015.
Inspire Record 1356731 DOI 10.17182/hepdata.73431

The TOTEM experiment has made a precise measurement of the elastic proton-proton differential cross-section at the centre-of-mass energy sqrt(s) = 8 TeV based on a high-statistics data sample obtained with the beta* = 90 optics. Both the statistical and systematic uncertainties remain below 1%, except for the t-independent contribution from the overall normalisation. This unprecedented precision allows to exclude a purely exponential differential cross-section in the range of four-momentum transfer squared 0.027 < |t| < 0.2 GeV^2 with a significance greater than 7 sigma. Two extended parametrisations, with quadratic and cubic polynomials in the exponent, are shown to be well compatible with the data. Using them for the differential cross-section extrapolation to t = 0, and further applying the optical theorem, yields total cross-section estimates of (101.5 +- 2.1) mb and (101.9 +- 2.1) mb, respectively, in agreement with previous TOTEM measurements.

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The pi+ p interaction at 1.2 gev/c

Berthon, A. ; Mas, J. ; Narjoux, J.L. ; et al.
Nucl.Phys.B 81 (1974) 431-444, 1974.
Inspire Record 93412 DOI 10.17182/hepdata.7945

Experimental results are presented for the available channels in the 1.2 GeV/ c π + p interaction. An isobaric model with incoherent addition of the amplitudes is used to determine the π, Δ and N ∗ abundance rates in the π + π o p final state. The multipole parameters in the density matrix of the Δ ++ are determined as functions of its production angle.

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K+ p Interactions Near 3-GeV/c. 2. Baryon Resonance Production

Musgrave, B. ; Peeters, P. ; Schreiner, P. ; et al.
Nucl.Phys.B 87 (1975) 365-398, 1975.
Inspire Record 1720 DOI 10.17182/hepdata.1112

Baryon resonance production in quasi-two-body reactions has been studied for the channels K + p→K°p π + , K + n π + and K + p π ° at beam momenta of 2.53, 2.76 and 3.20 GeV/ c . The production cross sections, four-momentum transfer distributions and density matrix elements are given for the Δ(1236), N ∗ (1400), N ∗ (1500) and N ∗ (1680) states. The reaction K + p→K° Δ ++ (1236) is compared to the line reversed reaction K − n → K °Δ − and the charge-exchange SU(3) sum rule for pseudo-scalar meson plus Δ(1236) is tested.

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Alekseeva, E.a. ; Kartamyshev, A.a. ; Makarin, V.k. ; et al.
Sov.Phys.JETP 55 (1982) 591-600, 1982.
Inspire Record 185170 DOI 10.17182/hepdata.2406
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Comparison of Exclusive Reactions at Large $T$

Baller, B.R. ; Blazey, G.C. ; Courant, H. ; et al.
Phys.Rev.Lett. 60 (1988) 1118-1121, 1988.
Inspire Record 264273 DOI 10.17182/hepdata.3063

Cross sections or upper limits are reported for 12 meson-baryon and two baryon-baryon reactions for an incident momentum of 9.9 GeV/c, near 90° c.m.: π±p→pπ±,pp±,π+°±,K+Σ±, (Λ0/Σ0)K0; K±p→pK±; p±p→pp. By studying the flavor dependence of the different reactions, we have been able to isolate the quark-interchange mechanism as dominant over gluon exchange and quark-antiquark annihilation.

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Measurement of proton-proton elastic scattering and total cross-section at S**(1/2) = 7-TeV

The TOTEM collaboration Antchev, G. ; Aspell, P. ; Atanassov, I. ; et al.
EPL 101 (2013) 21002, 2013.
Inspire Record 1220862 DOI 10.17182/hepdata.66456

At the LHC energy of $\sqrt s = 7\,{\mathrm { TeV}}$ , under various beam and background conditions, luminosities, and Roman Pot positions, TOTEM has measured the differential cross-section for proton-proton elastic scattering as a function of the four-momentum transfer squared t. The results of the different analyses are in excellent agreement demonstrating no sizeable dependence on the beam conditions. Due to the very close approach of the Roman Pot detectors to the beam center (≈5σ(beam)) in a dedicated run with β* = 90 m, |t|-values down to 5·10(−)(3) GeV(2) were reached. The exponential slope of the differential elastic cross-section in this newly explored |t|-region remained unchanged and thus an exponential fit with only one constant B = (19.9 ± 0.3) GeV(−)(2) over the large |t|-range from 0.005 to 0.2 GeV(2) describes the differential distribution well. The high precision of the measurement and the large fit range lead to an error on the slope parameter B which is remarkably small compared to previous experiments. It allows a precise extrapolation over the non-visible cross-section (only 9%) to t = 0. With the luminosity from CMS, the elastic cross-section was determined to be (25.4 ± 1.1) mb, and using in addition the optical theorem, the total pp cross-section was derived to be (98.6 ± 2.2) mb. For model comparisons the t-distributions are tabulated including the large |t|-range of the previous measurement (TOTEM Collaboration (Antchev G. et al), EPL, 95 (2011) 41001).

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Measurement of the Polarization of the Proton Proton Elastic Reaction at Small Scattering Angles Between 940-{MeV} and 2440-{MeV}

Dalla Torre-Colautti, S. ; Birsa, R. ; Bradamante, F. ; et al.
Nucl.Phys.A 505 (1989) 561-582, 1989.
Inspire Record 288841 DOI 10.17182/hepdata.36886

We have measured the asymmetry of elastic pp scattering at small scattering angles (30–100 mrad) in the Coulomb-nuclear interference region, using the polarized proton beam of Saturne II, a segmented scintillator active target, and two telescopes of multiwire proportional chambers. Results are given at four energies — 940, 1000, 1320 and 2440 MeV-and are compared with phase-shift calculations.

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Recent results on the polarization parameter in $\pi-p$ and $p-p$ elastic scattering from 6 to 12 GeV/c.

Borghini, M. ; Coignet, G. ; Dick, Louis ; et al.
(1967) 123-124, 1967.
Inspire Record 1371768 DOI 10.17182/hepdata.71256

We present the final results of a measurement of the polarization parameter P 0 in high-energy n~-p and p-p elastic scattering, performed using a target which contained polarized protons. Data were taken at beam momenta of 6.0, 8.0, 10.0 and 12.0 GeV/c for n-, and of 6.0, 10.0 and 12.0 GeV/c for n+ and p, in the interval of invariant four-momentum transfer squared-t from 0.1 to 0.75 (GeV/c)2.

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K-minus-p interactions from 594 to 820 mev/c

Bertanza, L. ; Bigi, A. ; Carrara, R. ; et al.
Phys.Rev. 177 (1969) 2036-2047, 1969.
Inspire Record 55654 DOI 10.17182/hepdata.70773

K−−p interactions in the Columbia-BNL 30-in. hydrogen bubble chamber were studied at nine momenta from 594 to 820 MeVc. The results for elastic-scattering and zero-prong-plus-V0 events are presented here. Differential cross sections are given for the K−p, K¯0n, and Λπ0 final states. A fit to the K¯N channels was obtained which shows the effects of a 32− resonance at 1701 MeV. This energy is appreciably displaced from the peak in the inelastic cross section.

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Elastic scattering in pi- p collisions at 604 MeV

Riley, Benny R. ;
PhD Thesis, U. Kentucky, Lexington, 1963.
Inspire Record 1408826 DOI 10.17182/hepdata.70524
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Large-Angle Elastic Scattering of Negative Pions by Protons at 1.51, 2.01, and 2.53 Bev/c

Lai, Kwan Wu ;
PhD Thesis, Michigan U., 1963.
Inspire Record 1408825 DOI 10.17182/hepdata.70519

The differential elastic scattering cross sections for negative pions on ; protons were measured at incident momenta of 1.51, 2.01, and 2.53 Bev/c with ; emphasis on the angular region outside the diffraction peak. The purpose of the ; experiment was to examine the behavior of the largeangle differential elastic ; cross section as a function of energy from the energy of the highest known ; resonance in the pion-nucleon system into the region where the total. cross ; sections appear to be approaching an asymptotic value. The experiment was ; performed at the Bevatron, using a luminescent chamber system to photograph the ; tracks of the scattered pion and the recoil proton from a liquid hydrogen target. ; A total of 2412 elastic scatterings were analyzed at 1.51 Bev/c, 1300 events at ; 2.01 Bev/c, and 1080 events at 2.53 Bev/c. From the existing data it may be ; noted that the backward bump, which has a maximum height of 2.1 mb/sr at 900 Mev ; and 1.1 mb/sr at 1020 Mev, is down to 0.4 mb/sr at 1.51 Bev/c (1.37 Bev), and is ; not present at 2.01 or 2.53 Bev/c. The angular distributions behind the ; diffraction peak at 2.01 and 2.53 Bev/c are rougly constant, decreasing from 0.18 ; mb/sr at 2.01 Bev/c to 0.125 mb/sr at 2.53 Bev/c. Although the data can be taken ; to suggest some oscillatory structure in this region, they are not inconsistent ; with an isotropic distribution that might be interpreted as evidence for an S-; wave scattering behind the diffraction peak. Large-Angle Elastic Scattering of Negative Pions by Protons at 1.51, 2.01, and 2.53 Bev/c.

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Takibaev, Zh.S. ; Boos, E.G. ; San'ko, L.A. ;
Izv.Akad.Nauk Kaz.SSR Ser.Fiz.Mat. 1972 (1972) 20, 1972.
Inspire Record 1408820 DOI 10.17182/hepdata.70518
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The Interaction of Five Hundred Million Electron Volt Positive Mesons with Protons

Willis, William Jay ;
PhD Thesis, Yale U., 1958.
Inspire Record 1408689 DOI 10.17182/hepdata.70510
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pi- p Elastic Scattering Near 1400-MeV Center-Of-Mass Energy

Lima, C.A.S. ; Greenberg, M. ;
Rev.Bras.Fis. 6 (1976) 117-125, 1976.
Inspire Record 115853 DOI 10.17182/hepdata.70465
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Negative pion-proton elastic scattering near one hundred eighty degrees between six hundred and twelve hundred eighty MeV/c

Richards, T.J. ;
PhD Thesis, St. Louis U., 1972.
Inspire Record 1408652 DOI 10.17182/hepdata.16990
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Contribution to the study of the interactions $\pi^{-}$p at 407 and 493 MeV : determination of cross sections of charged tracks, phase shift analysis in the elastic channel.

Derre, J. ;
PhD Thesis, Acad. Sci., Paris, 1969.
Inspire Record 1345881 DOI 10.17182/hepdata.39913
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Measurement of the polarization parameter P in elastic π+p scattering at 335, 370, and 410 MeV

Bekrenev, V.S. ; Beloglazov, Yu.A. ; Gaditskii, V.G. ; et al.
JETP Lett. 35 (1982) 148, 1982.
Inspire Record 1408359 DOI 10.17182/hepdata.70446
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Recoil proton polarization in elastic $\pi^−$ p scattering at 300 MeV and the phase shift analysis of pion-nucleon scattering

Vasilevsky, I.M. ; Vishnyakov, V.V. ; Ivanchenko, I.M. ; et al.
Phys.Lett. 23 (1966) 174-176, 1966.
Inspire Record 1408342 DOI 10.17182/hepdata.70432

The results of a measurement of recoil proton polarization for π−p → π−p at 300 MeV are given, and a phase shift analysis is made with the help of other data.

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Positive pion-proton scattering at energies 176, 200, 240, 270, 307 and 310 Mev

Mukhin, A.I. ; Ozerov, E.B. ; Mitin, N.A. ; et al.
204-224, 1956.
Inspire Record 1186667 DOI 10.17182/hepdata.70406
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The $\pi^- p$ reaction around the $\Lambda^0 K^0$ threshold

Crittenden, R.R. ; Martin, H.J. ; Musgrave, B. ;
116-123, 1963.
Inspire Record 1407768 DOI 10.17182/hepdata.70311
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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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Williams, David Gerald ;
PhD Thesis, Michigan U., 1966.
Inspire Record 1407538 DOI 10.17182/hepdata.70292
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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.

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