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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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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 $B = 19.74 \pm 0.05 \; ({{stat.}}) \pm 0.23 \; ({{syst.}}) \; {GeV}^{-2}$.

6 data tables match query

The measured total cross section, the first systematic error accounts for all experimental uncertainties and the second error for the extrapolation t-->0.

The nuclear slope of the differential eslastic cross section at small |t|, the first systematic error accounts for all experimental uncertainties and the second error for the extrapolation t-->0.

The total elastic cross section and the observed elastic cross section within the fiducial volume.

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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.

3 data tables match query

PARTIAL CROSS SECTIONS. DATA AT 1.305 TO 1.434 GEV/C FOR FINAL STATES K- P, K- P PI0 AND K- N PI+ COME FROM THE HAIFA GROUP, S. DADO ET AL.

No description provided.

No description provided.


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.

1 data table match query

The elastic differential cross-section as determined in this analysis using the ''optimised'' binning.


Measurement of the total cross section from elastic scattering in $pp$ collisions at $\sqrt{s}=7$ TeV with the ATLAS detector

The ATLAS collaboration Aad, Georges ; Abbott, Brad ; Abdallah, Jalal ; et al.
Nucl.Phys.B 889 (2014) 486-548, 2014.
Inspire Record 1312171 DOI 10.17182/hepdata.68910

A measurement of the total $pp$ cross section at the LHC at $\sqrt{s}=7$ TeV is presented. In a special run with high-$\beta^{\star}$ beam optics, an integrated luminosity of 80 $\mu$b$^{-1}$ was accumulated in order 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 0.01 GeV$^2$ to 0.1 GeV$^2$ to extrapolate to $|t|\rightarrow 0$, the total cross section, $\sigma_{\mathrm{tot}}(pp\rightarrow X)$, is measured via the optical theorem to be: $$\sigma_{\mathrm{tot}}(pp\rightarrow X) = 95.35 \; \pm 0.38 \; ({\mbox{stat.}}) \pm 1.25 \; ({\mbox{exp.}}) \pm 0.37 \; (\mbox{extr.}) \; \mbox{mb},$$ where the first error is statistical, the second accounts for all experimental systematic uncertainties and the last is related to uncertainties in the extrapolation to $|t|\rightarrow 0$. In addition, the slope of the elastic cross section at small $|t|$ is determined to be $B = 19.73 \pm 0.14 \; ({\mbox{stat.}}) \pm 0.26 \; ({\mbox{syst.}}) \; \mbox{GeV}^{-2}$.

6 data tables match query

The measured total cross section, the first systematic error accounts for all experimental uncertainties and the second error for the extrapolation t-->0.

The nuclear slope of the differential eslastic cross section at small |t|, the first systematic error accounts for all experimental uncertainties and the second error for the extrapolation t-->0.

The Optical Point dsigma/(elastic)/dt(t-->0), the total elastic cross section and the observed elastic cross section within the fiducial volume. The first systematic error accounts for all experimental uncertainties and the second error for the extrapolation t-->0.

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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).

4 data tables match query

The measured differential elastic cross section.

The measured differential elastic cross section in the high |T| region. where it originally appeared as a plot, but was not tabulated.

The fitted slope parameter for the elastic cross section fitted over 4 |T| ranges.

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Elastic scattering of negative pions by protons at 2 BeV/c

Damouth, David E. ; Jones, L.W. ; Perl, M.L. ;
Tech.Rep.11, 1963.
Inspire Record 1407276 DOI 10.17182/hepdata.163

None

2 data tables match query

No description provided.

No description provided.


Absolute measurements of proton-proton small-angle elastic scattering and total cross section at 10, 19 and 26 GeV/ c

Bellettini, G. ; Cocconi, G. ; Diddens, A.N. ; et al.
Phys.Lett. 14 (1965) 164-168, 1965.
Inspire Record 1392870 DOI 10.17182/hepdata.895

None

2 data tables match query

'1'. '2'. '3'.

No description provided.


The Scattering of $\pi^{+}-$ Mesons on Hydrogen. I. Angular Distributions at Energies of 176, 200, 240, 270 and 307 MeV

Mukhin, A. I. ; Ozerov, E. B. ; Pontecorvo ;
Sov.Phys.JETP 4 (1957) 237-250, 1957.
Inspire Record 1388439 DOI 10.17182/hepdata.1187

None

5 data tables match query

No description provided.

No description provided.

No description provided.

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Measurement of the spin correlation parameters $A_{xx}$ and $A_{yy}$ for proton-proton scattering at 47.5 MeV

Nisimura, K. ; Hasegawa, T. ; Saito, T. ; et al.
Phys.Lett.B 30 (1969) 612-613, 1969.
Inspire Record 1389659 DOI 10.17182/hepdata.28866

A measurement of the spin correlation parameters A xx (90° cm) and A yy (90° cm) of 47.5 MeV proton-proton scattering has been performed by means of polarized beam and a polarized target.

1 data table match query

No description provided.


$K^- p$ 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.

1 data table match query

No description provided.


Diffraction-like structure in elastic proton-proton scattering at large momentum transfers

Allaby, J.V. ; Diddens, A.N. ; Klovning, A. ; et al.
Phys.Lett.B 27 (1968) 49-53, 1968.
Inspire Record 1392696 DOI 10.17182/hepdata.29184

Measurements of wide angle elastic p-p scattering between 7 and 12 GeV/c are reported. Structure found in the angular distributions is suggestive of diffraction.

10 data tables match query
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Proton-proton scattering at very small angles at 24 GeV/ c

Lohrmann, E. ; Meyer, H. ; Winzeler, H. ;
Phys.Lett. 13 (1964) 78-80, 1964.
Inspire Record 1392871 DOI 10.17182/hepdata.30656

None

1 data table match query

Proton-proton small angle scattering and total cross section of 10.0 GeV⧸c

Bellettini, G. ; Cocconi, G. ; Diddens, A.N. ; et al.
Phys.Lett. 19 (1966) 705-705, 1966.
Inspire Record 1389783 DOI 10.17182/hepdata.782

None

1 data table match query

No description provided.


Small-angle elastic scattering of 24.5 GeV/c protons on hydrogen nuclei

Breitenlohner, P. ; Egli, P. ; Hofer, H. ; et al.
Phys.Lett. 7 (1963) 73-75, 1963.
Inspire Record 1385172 DOI 10.17182/hepdata.746

None

1 data table match query

'1'. '2'.


Study of Elastic $\pi^+ p$, $K^+ p$ and $p p$ Scattering at 250-{GeV}/$c$

The NA22 collaboration Adamus, M. ; Ajinenko, I.V. ; Agababyan, N.M. ; et al.
Phys.Lett.B 186 (1987) 223-226, 1987.
Inspire Record 246909 DOI 10.17182/hepdata.40833

Results are presented on π + p and K + p elastic scattering at 250 GeV/ c , the highest momentum so far reached for positive meson beams. The experiment (NA22) was performed with the european hybrid spectrometer. The π + p elastic cross section stays constant with energy while the K + p cross section increases.

4 data tables match query

No description provided.

No description provided.

ERRORS IN ELASTIC CROSS SECTIONS INCLUDE SYSTEMATIC ERRORS.

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ELASTIC P (POLARIZED) P (POLARIZED) SCATTERING BETWEEN 240-MEV AND 470-MEV

Onel, Y. ; Hausammann, R. ; Heer, E. ; et al.
Phys.Rev.D 40 (1989) 35-43, 1989.
Inspire Record 285140 DOI 10.17182/hepdata.23076

The polarization parameter Pn000, the two-spin parameters Dn0n0, Kn00n, Ds′0s0, Ds′0k0 and the three-spin parameters Ms′0sn and Ms′0kn have been measured for pp elastic scattering angles between 60° and 88° center of mass at 241 and 314 MeV incident kinetic energies, and between 38° c.m. and 98° c.m. at 341, 366, and 398 MeV. At 473 MeV, only Pn000 and Ds′0k0 were measured between 34° c.m. and 62° c.m. The experiment was performed at SIN using a polarized proton beam and a polarized butanol target. The polarization of the scattered proton was analyzed in a carbon polarimeter. The influence of these high-precision data on the Saclay-Geneva phase-shift analysis is discussed.

6 data tables match query

Statistical errors only.

Statistical errors only.

Statistical errors only.

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Operation and Performance of a System for $\pi p$ and $\pi D$ Backward Scattering

Stanovnik, A. ; Kernel, G. ; Tanner, N.W. ; et al.
Nucl.Instrum.Meth. 177 (1980) 369, 1980.
Inspire Record 152948 DOI 10.17182/hepdata.41451

A simple, large-solid-angle apparatus, specially suited for the measurement of backward elastic scattering of medium-energy pions on protons and deuterons, is described. The method of analysis which reduces background and determines elastic events from a data sample of 185 MeV negative pions incident on a D 2 O target is discussed. Results for 141 MeV π + p and 185 MeV π − p backward cross-sections are also presented and compared with cross-sections calculated from known phase shifts.

2 data tables match query


High-Energy Proton-Proton Diffraction Scattering

Diddens, A.N. ; Lillethun, E. ; Manning, G. ; et al.
Phys.Rev.Lett. 9 (1962) 108-111, 1962.
Inspire Record 46802 DOI 10.17182/hepdata.21634

None

7 data tables match query

This table from the from the Erratum.

Table 1.

Table 2.

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On Measuring Spin Rotation Parameter r in pi- p and K- p Elastic Scattering at 40-GeV/c

The Serpukhov-Saclay-Dubna-Moscow collaboration Pierrard, J. ; Bruneton, C. ; Bystricky, J. ; et al.
Phys.Lett.B 57 (1975) 393-397, 1975.
Inspire Record 99593 DOI 10.17182/hepdata.27839

The spin rotation parameter R has been measured for elastic π − p scattering at 40 GeV/ c , at four momentum transfers t ranging from −0.19 to −0.52 (GeV/ c ) 2 . The average value within this interval is R π − p = -0.200± 0.023. The resulting constraints on the πN scattering amplitudes are discussed. The experiments also yields an average value for K − p scattering, R K − p scattering, R K − p = -0.16±0.16.

2 data tables match query

Polarization Measurements in pi- p, K- p and p p Elastic Scattering at 40-GeV/c

The Saclay-Serpukhov-Dubna-Morsoc collaboration Gaidot, A. ; Bruneton, C. ; Bystricky, J. ; et al.
Phys.Lett.B 57 (1975) 389-392, 1975.
Inspire Record 99592 DOI 10.17182/hepdata.27840

We report final results on the polarization parameter P in elastic scattering of π − , K − and antiprotons at 40 GeV/ c incident momentum. The energy dependence of P (t) in π − p above 10 GeV/ c is well fitted by P (t) α s αR(t)-α P (t) where α R (t) are the effective Regge and Pomeron trajectories respectively. The data in K − p are compatible with exchange degeneracy. The results inp¯p show an important structure for |t|> 0.3 (GeV/c) 2 demonstrating the existence of a large helicity flip amplitude.

2 data tables match query

Elastic Backward Scattering of Negative Pions on Protons at 25-GeV/c and 38-GeV/c

Babaev, A. ; Brakhman, E. ; Danilov, M. ; et al.
Phys.Lett.B 67 (1977) 351, 1977.
Inspire Record 109000 DOI 10.17182/hepdata.39798

The backward elastic scattering reaction π − p → p π − at momenta 25 and 38 GeV/ c have been measured using a magnetic spectrometer with hybrid chambers. The experimental data on the dependence of the cross section d σ /d u on the momentum transfer u as well as the energy dependence d σ /d u at u = 0 are given.

2 data tables match query

Proton-proton elastic scattering at the LHC energy of {\surd} = 7 TeV

The TOTEM collaboration Antchev, G. ; Aspell, P. ; Atanassov, I. ; et al.
EPL 95 (2011) 41001, 2011.
Inspire Record 922651 DOI 10.17182/hepdata.59485

Proton-proton elastic scattering has been measured by the TOTEM experiment at the CERN Large Hadron Collider at {\surd}s = 7 TeV in dedicated runs with the Roman Pot detectors placed as close as seven times the transverse beam size (sbeam) from the outgoing beams. After careful study of the accelerator optics and the detector alignment, |t|, the square of four-momentum transferred in the elastic scattering process, has been determined with an uncertainty of d t = 0.1GeV p|t|. In this letter, first results of the differential cross section are presented covering a |t|-range from 0.36 to 2.5GeV2. The differential cross-section in the range 0.36 < |t| < 0.47 GeV2 is described by an exponential with a slope parameter B = (23.6{\pm}0.5stat {\pm}0.4syst)GeV-2, followed by a significant diffractive minimum at |t| = (0.53{\pm}0.01stat{\pm}0.01syst)GeV2. For |t|-values larger than ~ 1.5GeV2, the cross-section exhibits a power law behaviour with an exponent of -7.8_\pm} 0.3stat{\pm}0.1syst. When compared to predictions based on the different available models, the data show a strong discriminative power despite the small t-range covered.

1 data table match query

The measured differential elastic cross section. Data from the tabulation in CERN-PH-EP-2012-239.


Single-Pion Production in pp Collisions at 0.95-GeV/c (I)

The COSY-TOF collaboration El-Samad, S.Abd ; Bilger, R. ; Brinkmann, K. -Th. ; et al.
Eur.Phys.J.A 30 (2006) 443-453, 2006.
Inspire Record 725793 DOI 10.17182/hepdata.43429

The single-pion production reactions $pp\to d\pi^+$, $pp\to np\pi^+$ and $pp\to pp\pi^0$ were measured at a beam momentum of 0.95 GeV/c ($T_p \approx$ 400 MeV) using the short version of the COSY-TOF spectrometer. The implementation of a central calorimeter provided particle identification, energy determination and neutron detection in addition to time-of-flight and angle measurements. Thus all pion production channels were recorded with 1-4 overconstraints. The total and differential cross sections obtained are compared to previous data and theoretical calculations. Main emphasis is put on the discussion of the $pp\pi^0$ channel, where we obtain angular distributions different from previous experimental results, however, partly in good agreement with recent phenomenological and theoretical predictions. In particular we observe very large anisotropies for the $\pi^0$ angular distributions in the kinematical region of small relative proton momenta revealing there a dominance of proton spinflip transitions associated with $\pi^0$ $s$- and $d$-partial waves and emphasizing the important role of $\pi^0$ d-waves.

1 data table match query

Measured angular distribution for elastic P P scattering in the CM system normalised to the data in the SAID database (Arndt et al. PR C62,034005(2000). This measurement is made to determine the luminosity.


pi+- p differential cross sections at low energies.

Denz, H. ; Amaudruz, P. ; Brack, J.T. ; et al.
Phys.Lett.B 633 (2006) 209-213, 2006.
Inspire Record 699647 DOI 10.17182/hepdata.31620

Differential cross sections for pi- p and pi+ p elastic scattering were measured at five energies between 19.9 and 43.3 MeV. The use of the CHAOS magnetic spectrometer at TRIUMF, supplemented by a range telescope for muon background suppression, provided simultaneous coverage of a large part of the full angular range, thus allowing very precise relative cross section measurements. The absolute normalisation was determined with a typical accuracy of 5 %. This was verified in a simultaneous measurement of muon proton elastic scattering. The measured cross sections show some deviations from phase shift analysis predictions, in particular at large angles and low energies. From the new data we determine the real part of the isospin forward scattering amplitude.

12 data tables match query

Elastic PI- P cross section for incident kinetic energy 43.3 MeV for the rotated target data. Errors shown are statistical only.

Elastic PI- P cross section for incident kinetic energy 43.3 MeV. Errors shown are statistical only.

Elastic PI- P cross section for incident kinetic energy 37.1 MeV. Errors shown are statistical only.

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Low energy analyzing powers in pion proton elastic scattering.

Meier, R. ; Croni, M. ; Bilger, R. ; et al.
Phys.Lett.B 588 (2004) 155-162, 2004.
Inspire Record 645151 DOI 10.17182/hepdata.26962

Analyzing powers of pion-proton elastic scattering have been measured at PSI with the Low Energy Pion Spectrometer LEPS as well as a novel polarized scintillator target. Angular distributions between 40 and 120 deg (c.m.) were taken at 45.2, 51.2, 57.2, 68.5, 77.2, and 87.2 MeV incoming pion kinetic energy for pi+ p scattering, and at 67.3 and 87.2 MeV for pi- p scattering. These new measurements constitute a substantial extension of the polarization data base at low energies. Predictions from phase shift analyses are compared with the experimental results, and deviations are observed at low energies.

11 data tables match query

Analyzing power for PI+ P elastic scattering at incidient kinetic energy 87.2 MeV from the data set 1.

Analyzing power for PI+ P elastic scattering at incidient kinetic energy 68.4 MeV from the data set 1.

Analyzing power for PI+ P elastic scattering at incidient kinetic energy 57.2 MeV from the data set 1.

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Measurement of spin correlation parameters A(NN), A(SS), and A(SL) at 2.1-GeV in proton proton elastic scattering.

Bauer, F. ; Bisplinghoff, J. ; Busser, K. ; et al.
Phys.Rev.Lett. 90 (2003) 142301, 2003.
Inspire Record 594512 DOI 10.17182/hepdata.31721

At the Cooler Synchrotron COSY/J\ulich spin correlation parameters in elastic proton-proton (pp) scattering have been measured with a 2.11 GeV polarized proton beam and a polarized hydrogen atomic beam target. We report results for A$_{NN}$, A$_{SS}$, and A_${SL}$ for c.m. scattering angles between 30$^o$ and 90$^o$. Our data on A$_{SS}$ -- the first measurement of this observable above 800 MeV -- clearly disagrees with predictions of available of pp scattering phase shift solutions while A$_{NN}$ and A_${SL}$ are reproduced reasonably well. We show that in the direct reconstruction of the scattering amplitudes from the body of available pp elastic scattering data at 2.1 GeV the number of possible solutions is considerably reduced.

1 data table match query

Spin correlation parameters.


Analyzing Powers in $\pi^\pm P$ (Polarized) Elastic Scattering From $T (\pi$) = 98-{MeV} to 263-{MeV}

Sevior, M.E. ; Feltham, A. ; Weber, P. ; et al.
Phys.Rev.C 40 (1989) 2780-2788, 1989.
Inspire Record 288842 DOI 10.17182/hepdata.26219

Angular distributions of the analyzing powers for π+p→ and π−p→ elastic scattering have been measured in a single-scattering experiment employing a polarized proton target. Measurements were obtained for pion energies of 98, 139, 166, 215, and 263 MeV. The addition of these data to the existing πp database significantly reduces the uncertainties in all S and P phase shifts for πp reactions over the delta resonance.

10 data tables match query

Measured values of the analyzing power for PI+ P elastic scattering at incident kinetic energy 98 MeV.

Measured values of the analyzing power for PI+ P elastic scattering at incident kinetic energy 139 MeV.

Measured values of the analyzing power for PI+ P elastic scattering at incident kinetic energy 166 MeV.

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Analyzing powers for pi+- p(pol.) elastic scattering between 87-MeV and 263-MeV.

Hofman, G.J. ; Smith, G.R. ; Ambardar, T. ; et al.
Phys.Rev.C 58 (1998) 3484-3493, 1998.
Inspire Record 483008 DOI 10.17182/hepdata.25722

Analyzing powers for πp elastic scattering were measured using the CHAOS spectrometer at energies spanning the Δ(1232) resonance. This work presents π+ data at the pion kinetic energies 117, 130, 139, 155, 169, 180, 193, 218, 241, and 267 MeV and π− data at 87, 117, 193, and 241 MeV, covering an angular range of 50°<~θc.m.<~180° at the higher energies and 90°<~θc.m.<~180° at the lower energies. Unique features of the spectrometer acceptance were employed to reduce systematic errors. Single-energy phase shift analyses indicate the resulting S11 and S31 phases favor the results of the SM95 phase shift analysis over that of the older KH80 analysis.

18 data tables match query

Measurement of the PI+ analysing power at 117 MeV.. The data were collected in the conventional mode and may be independently floated within the systematic error.

Measurement of the PI+ analysing power at 139 MeV.. The data were collected in the conventional mode and may be independently floated within the systematic error.

Measurement of the PI- analysing power at 87 MeV.. The data were collected in the conventional mode and may be independently floated within the systematic error.

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Analyzing powers for pi p elastic scattering between 57 and 139 MeV

Patterson, J.D. ; Hofman, G.J. ; Brack, J.T. ; et al.
Phys.Rev.C 66 (2002) 025207, 2002.
Inspire Record 594648 DOI 10.17182/hepdata.25268

Analyzing powers for πp elastic scattering at bombarding energies below the Δ(1232) resonance were measured at TRIUMF using the CHAOS spectrometer and a polarized spin target. This work presents π− data at six incident energies of 57, 67, 87, 98, 117, and 139 MeV, and a single π+ data set at 139 MeV. The higher energy measurements cover an angular range of 72°<~θc.m.<~180° while the lower energies were limited to 101°<~θc.m.<~180°. There is a high degree of consistency between this work and the predictions of the VPI/GWU group’s SM95 partial wave analysis.

9 data tables match query

Analysing power measurements for a 139 GeV PI+ beam (standard track).

Analysing power measurements for a 139 GeV PI- beam (standard track).

Analysing power measurements for a 117 GeV PI- beam (standard track).

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Excitation functions of the analyzing power in p p(pol.) scattering from 0.45-GeV to 2.5-GeV

The EDDA collaboration Altmeier, M. ; Bauer, F. ; Bisplinghoff, J. ; et al.
Phys.Rev.Lett. 85 (2000) 1819-1822, 2000.
Inspire Record 537773 DOI 10.17182/hepdata.19490

Excitation functions AN(pp,Θc.m.) of the analyzing power in pp→ elastic scattering have been measured with a polarized atomic hydrogen target for projectile momenta pp between 1000 and 3300 MeV/ c. The experiment was performed for scattering angles 30°≤Θc.m.≤90° using the recirculating beam of the proton storage ring COSY during acceleration. The resulting excitation functions and angular distributions of high internal consistency have significant impact on the recent phase shift solution SAID SP99, in particular, on the spin triplet phase shifts between 1000 and 1800 MeV, and demonstrate the limited predictive power of single-energy phase shift solutions at these energies.

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Absolute p p elastic cross-sections from 492-MeV to 793-MeV using CH-2 targets

Simon, A.J. ; Glass, G. ; McNaughton, M.W. ; et al.
Phys.Rev.C 53 (1996) 30-34, 1996.
Inspire Record 429629 DOI 10.17182/hepdata.25831

pp-elastic differential cross sections are reported at 492 MeV from 40° to 90°, and at 576, 642, 728, and 793 MeV from 75° to 90° c.m., with an absolute accuracy of less than 1%. These data, obtained with polyethylene targets, agree with recent measurements at the same energies obtained with a liquid-hydrogen target. © 1996 The American Physical Society.

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The Real Part of the p-p and p-d Forward Scattering Amplitudes from 50 GeV to 400 GeV

Jenkins, E. ; Kuznetsov, A. ; Morozov, B. ; et al.
Phys.Rev.Lett. 41 (1978) 217, 1978.
Inspire Record 130086 DOI 10.17182/hepdata.11248

Proton-proton and proton-deuteron elastic scattering has been measured for incident laboratory energy from 50 to 400 GeV; minimum |t| values were, for p−p, 0.0005 (GeV/c)2, and for p−d, 0.0008 (GeV/c)2. From the differential cross sections we have determined the ratios of the real to imaginary parts of the forward scattering amplitude, ρpp and ρpd, for p−p and p−d scattering. Using a Glauber approach and a sum-of-exponentials form factor we obtain ρpn for p−n scattering.

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NORMALIZATION UNCERTAINTY IS 0.90 PCT.

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Polarization Analyzing Power Ay (theta) in pp Elastic Scattering at 643, 787, and 796 MeV

Bevington, P.R. ; McNaughton, M.W. ; Willard, H.B. ; et al.
Phys.Rev.Lett. 41 (1978) 384-387, 1978.
Inspire Record 139918 DOI 10.17182/hepdata.20830

Data have been obtained for the polarization analyzing power Ay(θ) in pp elastic scattering from near 30° to 90° (c.m.) at 643, 787, and 796 MeV. Relative uncertainties are typically ± 0.003 with an overall normalization uncertainty of {+1}{−0.5}%. Data are not consistent with existing phase-shift analyses.

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Absolute p p elastic cross-sections from 492-MeV to 793-MeV

Simon, A.J. ; Glass, G. ; McNaughton, M.W. ; et al.
Phys.Rev.C 48 (1993) 662-675, 1993.
Inspire Record 363783 DOI 10.17182/hepdata.26001

Absolute pp-elastic-differential cross sections were measured at incident energies 492, 576, 642, 728, and 793 MeV from about 30° to 90° c.m. The total uncertainty was determined to be less than 1%, made possible by particle counting for beam normalization and extensive cross-checks of systematic effects. These new data are consistent with previous data above 600 MeV but have uncertainties about a factor of 10 smaller. Near 500 MeV these data are consistent with 90° data from TRIUMF, but differ significantly from similar data from PSI; the cause of this discrepancy is discussed.

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Direct Experimental Reconstruction of the $P P$ Elastic Scattering Amplitudes Between 447-{MeV} and 579-{MeV}

Hausammann, R. ; Heer, E. ; Hess, R. ; et al.
Phys.Rev.D 40 (1989) 22-34, 1989.
Inspire Record 285139 DOI 10.17182/hepdata.23146

A direct experimental reconstruction of the five complex pp elastic-scattering amplitudes has been performed at 447, 497, 517, 539, and 579 MeV. The reconstruction is done over the c.m. angles from 38° to 90° and is based on either 11 or 15 spin observables depending on the angular range. The reconstructed amplitudes are presented and compared to phase-shift analysis. A smooth energy behavior is observed for the amplitudes.

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Hidden Strangeness in the Proton? Determination of the Real Part of the Isospin Even - Forward Scattering Amplitude of Pion Nucleon Scattering at 54.3-{MeV}

Wiedner, U. ; Goring, K. ; Jaki, J. ; et al.
Phys.Rev.D 40 (1989) 3568-3581, 1989.
Inspire Record 287810 DOI 10.17182/hepdata.23079

The contradiction of the σ term of pion-nucleon scattering as deduced from the Karlsruhe-Helsinki phase shifts with the smaller value calculated by the chiral perturbation theory of QCD is well known. In an effort to clarify the discrepancy we have determined the real part of the isospin-even forward-scattering amplitude of pion-nucleon scattering at a pion energy Tπ=54.3 MeV by measurement of the elastic scattering of positive and negative pions on protons in the Coulomb-nuclear interference region. The deduced value is in agreement with the prediction of the Karlsruhe-Helsinki phase-shift analysis for that energy. The resulting large value of the σ term may be interpreted as being due to the influence of s¯s sea pairs even at large distances (small Q2) as previously suggested by the European Muon Collaboration measurement of deep-inelastic scattering of polarized muons on polarized protons.

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Precise Comparison of Anti-proton - Proton and Proton Proton Forward Elastic Scattering at $\sqrt{s}=24$.3-{GeV}

The UA6 collaboration Breedon, R.E. ; Chapin, T.J. ; Cool, R.L. ; et al.
Phys.Lett.B 216 (1989) 459-465, 1989.
Inspire Record 267044 DOI 10.17182/hepdata.29854

We report results from a measurement of antiproton-proton and proton-proton small-angle elastic scattering at √ s = 24.3 GeV in the range 0.001 ⩽ | t | ⩽ 0.06 (GeV/ c ) 2 . The measurement was performed at the CERN p p Collider by using silicon detectors to observe protons recoiling from a hydrogen cluster-jet target intercepting the stored p and p beams. Fits to the measured differential cross sections yield the ratio of the real to the imaginary part of the forward nuclear scattering amplitude ρ and the nuclear slope parameter b for both p p and pp. We find that the difference Δρ = ρ ( p p ) − ρ( pp ) = 0.031 ± 0.010 agrees with conventional fits and disagrees with the “odderon” fit designed to accommodate the recent UA4 measurement of ρ( p p) at 546 GeV.

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Nuclear slopes fixed to world average.


Further results on small angle elastic proton proton scattering at very high energies

Holder, M. ; Radermacher, E. ; Staude, A. ; et al.
Phys.Lett.B 36 (1971) 400-402, 1971.
Inspire Record 69148 DOI 10.17182/hepdata.28407

This work extends our previous investigations at the CERN Intersecting Storage Rings, with improved statistics at three different energies, wider angular range and a better control over systematic errors. Values for the (diffraction) shape parameter b are given.

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Determination of the Real Part of the Isospin Even Forward Scattering Amplitude of Pion Nucleon Scattering at 55-{MeV} as a Test of Low-energy Quantum Chromodynamics

Wiedner, U. ; Goring, K. ; Jaki, J. ; et al.
Phys.Rev.Lett. 58 (1987) 648-650, 1987.
Inspire Record 246624 DOI 10.17182/hepdata.20153

The real part of the isospin-even forward-scattering amplitude of pion-nucleon scattering has been determined at a pion energy of Tπ=55 MeV by measurement of the elastic scattering of positive and negative pions on protons within the Coulomb-nuclear interference region. The value confirms the prediction of the Karlsruhe-Helsinki phase-shift analysis for that energy. These phases have been used to determine the σ term of pion-nucleon scattering by means of dispersion relations, resulting in a value for σ which is in contradiction with chiral perturbation theory of QCD.

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PI- P cross sections normalised to the Coulomb cross section taken from the Karlesruhe-Helsinki phase shift analysis (R. Koch, E. Pietarinen (NP A336(80)331).


Measurements of Double and Triple Spin Parameters in $P P$ Elastic Scattering Between 440-{GeV} and 560-{MeV}

Aprile, E. ; Hausammann, R. ; Heer, E. ; et al.
Phys.Rev.D 34 (1986) 2566-2580, 1986.
Inspire Record 238398 DOI 10.17182/hepdata.23458

The polarization parameter Pn000, the two-spin parameters Dn0n0, Kn00n, Ds0s0, Ds0k0, and the three-spin parameters Ms0sn and Ms0kn have been measured for pp elastic scattering between 34° and 118° center-of-mass scattering angle at six different incident kinetic energies 447, 473, 497, 517, 539, and 560 MeV. The experiment was performed at SIN using a polarized proton beam, a polarized butanol target, and a polarimeter for the measurement of the polarization of the scattered proton.

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Measurement of Spin Spin Correlation Parameters in the $p p$ System at 11.75-{GeV}/$c$

Auer, I.P. ; Colton, E. ; Ditzler, W.R. ; et al.
Phys.Rev.D 34 (1986) 1, 1986.
Inspire Record 226969 DOI 10.17182/hepdata.23504

Final results are presented of the proton-proton elastic-scattering spin parameters CSS=(S,S;0,0) and CLS=(L,S;0,0) for thetac.m.=8°–49° and of CLL=(L,L;0,0) for thetac.m.=8°–90° at 11.75 GeV/c. Comparisons to theoretical models are also made.

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Measurements of Triple and Double Spin Parameters in Elastic $p p$ Scattering at 6-{GeV}/$c$

Auer, I.P. ; Chalmers, J. ; Colton, E. ; et al.
Phys.Rev.D 32 (1985) 1609, 1985.
Inspire Record 213562 DOI 10.17182/hepdata.23547

Toward the goal of experimentally determining the p-p elastic-scattering amplitudes at 6 GeV/c, we have measured a number of triple- and double-spin correlation parameters over the ‖t‖ range between 0.2 and 1.0 (GeV/c)2. These new data permit the first nucleon-nucleon amplitude determination in the multi-GeV energy range. Polarized beams from the Argonne Zero Gradient Synchrotron and polarized targets were utilized. The polarization of the recoil proton was measured with a carbon polarimeter. A total of 14 different spin observables were measured (five spin transfer, four depolarization, and five triple-spin correlation parameters). These have been combined with earlier results, resulting in a data set of typically 30 measurements of 20 different spin observables for each of six ‖t‖ values between 0.2 and 1.0 (GeV/c)2. A solution for the amplitudes has been found at each ‖t‖, and comparisons are presented with several different models. The spin-nonflip helicity amplitudes are found to be much larger than the spin-flip amplitudes.

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MEASUREMENT OF THE P P ELASTIC SCATTERING SPIN PARAMETER C(LL) AT 11.75-GEV/C FOR THETA (C.M.) = 48-DEGREES - 90-DEGREES

Auer, I.P. ; Colton, E. ; Ditzler, W.R. ; et al.
Phys.Rev.Lett. 52 (1984) 808-810, 1984.
Inspire Record 202204 DOI 10.17182/hepdata.20434

Results are presented of a measurement of the proton-proton elastic-scattering spin parameter CLL=(L,L;0,0) at 11.75 GeV/c and θc.m.=48°−90°. The value of CLL is nearly constant and is approximately -0.16 in this angular region. This behavior is consistent with only one of the many models proposed describing the interaction via the hard scattering of two quarks.

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NUMERICAL VALUES OF DATA SUPPLIED BY H. SPINKA.

ESTIMATED VALUE OF CSS (90 DEG) DETERMINED FROM PRESENT DATA ON CLL AND DATA OF CRABB ET AL., (PRL 41, 1257) AND CROSBIE ET AL., (PR D23, 600) FOR CNN VIA THE RELATION CNN-CSS-CLL=1 (90 DEG). ERROR CONTAINS BOTH SYSTEMAT8ICS AND STATISTICS.


A MEASUREMENT OF pi+ p BACKWARD ELASTIC DIFFERENTIAL CROSS-SECTIONS FROM 1.282-GeV/c TO 2.472-GeV/c

Candlin, D.J. ; Lowe, D.C. ; Peach, K.J. ; et al.
Nucl.Phys.B 244 (1984) 23-56, 1984.
Inspire Record 201771 DOI 10.17182/hepdata.7101

New high-statistics measurements of π + p elastic scattering differential cross sections are presented at 30 momentum points between 1.282 and 2.472 GeV/ c , covering most of the angular distribution outside the forward diffractive peak. These data show significant disagreements at some momenta with previous high-statistics experiments and with current partial wave analyses.

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Measurements of Spin Spin Correlation Parameters Up to 2.5-{GeV}/$c$ Incident Momentum for a Decisive Clarification of the Structure Observed in the $p p$ System

Auer, I.P. ; Colton, E. ; Ditzler, W.R. ; et al.
Phys.Rev.Lett. 51 (1983) 1411, 1983.
Inspire Record 191101 DOI 10.17182/hepdata.20512

Recent data are presented on spin-spin correlation parameters CLL=(L,L;0,0) and CSL=(S,L;0,0) at forward angles from 1.18 to 2.47 GeV/c incident momenta in proton-proton elastic scattering. Values for ΔσL (inelastic) are derived and are shown to disagree with predictions of theoretical models attempting to describe p−p scattering without dibaryon resonances. Finally, the CLL and CSL data discriminate among various phase-shift solutions, and will lead to a clarification of the p−p phase shifts.

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Measurement of the Spin Correlation Parameters a(00kk), a(00ks) and a(00ss) in the p p Elastic Scattering Between 400-MeV and 600-MeV

Aprile, E. ; Hausammann, R. ; Heer, E. ; et al.
Phys.Rev.D 28 (1983) 21-39, 1983.
Inspire Record 162345 DOI 10.17182/hepdata.23773

We have measured the spin-correlation parameters A00kk, A00ks, and A00ss in p−p scattering between 400 and 600 MeV using a longitudinally polarized beam and a butanol target polarized in the horizontal plane. Owing to the restrictive geometrical acceptance of the target, the polarization axis of the target was oriented at an angle α with respect to beam direction. The parameters A00kk and A00ks were therefore measured as a linear combination at 577, 536, 514, 494, and 445 MeV. These experiments were extended to the measurement of A00ks and A00ss by using a transversely polarized beam. We present the results, which are compared with phase-shift predictions.

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SPIN DEPENDENT PARAMETERS P (NOOO), D (NONO), K (NOON), D (SOSO), D (SOKO), M (SOSN), AND M (SOKN) IN P P ELASTIC SCATTERING AT 579-MEV

Aprile, E. ; Hausammann, R. ; Heer, E. ; et al.
Phys.Rev.D 27 (1983) 2600-2616, 1983.
Inspire Record 195612 DOI 10.17182/hepdata.23816

The polarization parameter Pn000, the two-spin parameters Dn0n0, Kn00n, Ds0s0, and Ds0k0, and the three-spin parameters Ms0sn and Ms0kn have been measured for pp elastic scattering at 579 MeV between 34° and 118° center-of-mass scattering angle. The experiment was performed at SIN using a polarized proton beam, a polarized butanol target, and a polarimeter for the measurement of the polarization of the scattered proton. These data form the basis for a complete experimental determination of the scattering amplitudes.

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Soft $\pi^- p$ and $p p$ Elastic Scattering in the Energy Range 30-{GeV} to 345-{GeV}

Burq, J.P. ; Chemarin, M. ; Chevallier, M. ; et al.
Nucl.Phys.B 217 (1983) 285-335, 1983.
Inspire Record 182455 DOI 10.17182/hepdata.7556

Differential cross sections for π − p and pp elastic scattering have been measured at incident momenta ranging from 30 to 345 GeV and in the t range 0.002 (GeV/ c ) 2 ⩽ | t | ⩽ 0.04 (GeV/ c ) 2 . From the analysis of the data, the ratio ϱ ( t = 0) of the real to the imaginary parts of the forward scattering amplitude was determined together with the logarithmic slope b of the diffraction cone.

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