The Real Part of the Forward Elastic Nuclear Amplitude for p p, anti-p p, pi+ p, pi- p, K+ p, and K- p Scattering Between 70-GeV/c and 200-GeV/c

Fajardo, L.A. ; Majka, R. ; Marx, J.N. ; et al.
Phys.Rev.D 24 (1981) 46, 1981.
Inspire Record 152596 DOI 10.17182/hepdata.24028

We have measured the elastic cross section for pp, p¯p, π+p, π−p, K+p, and K−p scattering at incident momenta of 70, 100, 125, 150, 175, and 200 GeV/c. The range of the four-momentum transfer squared t varied with the beam momentum from 0.0016≤−t≤0.36 (GeV/c)2 at 200 GeV/c to 0.0018≤−t≤0.0625 (GeV/c)2 at 70 GeV/c. The conventional parametrization of the t dependence of the nuclear amplitude by a simple exponential in t was found to be inadequate. An excellent fit to the data was obtained by a parametrization motivated by the additive quark model. Using this parametrization we determined the ratio of the real to the imaginary part of the nuclear amplitude by the Coulomb-interference method.

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A High Statistics Study of pi+ p, pi- p, and p p Elastic Scattering at 200-GeV/c

Schiz, A. ; Fajardo, L.A. ; Majka, R. ; et al.
Phys.Rev.D 24 (1981) 26, 1981.
Inspire Record 143937 DOI 10.17182/hepdata.24037

We have measured π+p, π−p, and pp elastic scattering at an incident-beam momentum of 200 GeV/c in the region of −t, four-momentum transfer squared, from 0.021 to 0.665 (GeV/c)2. The data allow an investigation of the t dependence of the logarithmic forward slope parameter b≡(ddt)(lndσdt). In addition to standard parametrization, we use functional forms suggested by the additive quark model to fit the measured dσdt distributions. Within the context of this model we estimate the size of the clothed quark in the pion and proton. Limits on the elastic-scattering amplitude derived from unitarity bounds are checked, and no violations are observed.

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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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The Acceleration of Polarized Protons to 22-{GeV}/$c$ and the Measurement of Spin Spin Effects in $p$ (Polarized) + $p$ (Polarized) $\to p + p$

Khiari, F.Z. ; Cameron, P.R. ; Court, G.R. ; et al.
Phys.Rev.D 39 (1989) 45, 1989.
Inspire Record 262472 DOI 10.17182/hepdata.23245

Accelerating polarized protons to 22 GeV/c at the Brookhaven Alternating Gradient Synchro- tron required both extensive hardware modifications and a difficult commissioning process. We had to overcome 45 strong depolarizing resonances to maintain polarization up to 22 GeV/c in this strong-focusing synchrotron. At 18.5 GeV/c we measured the analyzing power A and the spin-spin correlation parameter Ann in large- P⊥2 proton-proton elastic scattering, using the polarized proton beam and a polarized proton target. We also obtained a high-precision measurement of A at P⊥2=0.3 (GeV/c)2 at 13.3 GeV/c. At 18.5 GeV/c we found that Ann=(-2±16)% at P⊥2=4.7 (GeV/c)2, where it was about 60% near 12 GeV at the Argonne Zero Gradient Synchrotron. This sharp change suggests that spin-spin forces may have a strong and unexpected energy dependence at high P⊥2.

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2.2 GeV point taken from Brown et al., PR D31(85) 3017.

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K- p Elastic Scattering Between 1094-MeV/c and 1377-MeV/c

Barber, P.C. ; Broome, T.A. ; Duff, B.G. ; et al.
Nucl.Phys.B 92 (1975) 391-403, 1975.
Inspire Record 98421 DOI 10.17182/hepdata.32031

Differential cross sections for elastic scattering of negative kaons on protons are presented for 13 incident laboratory momenta between 1094 MeV/c and 1377 MeV/c. The data show the characteristic forward diffraction-like peak and backward dip and are adequately described in shape by certain published partial-wave analyses of the N system.

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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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MEASUREMENT OF DIFFERENTIAL CROSS-SECTIONS OF pi+ p AND pi- p ELASTIC SCATTERING IN THE REGION 425-MeV TO 640-MeV

Gordeev, V.A. ; Koptev, V.P. ; Kruglov, S.P. ; et al.
Sov.J.Nucl.Phys. 29 (1979) 339, 1979.
Inspire Record 132291 DOI 10.17182/hepdata.1059

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Investigation of two-prong pi+ p interactions at 2.34 gev/c.

Angelov, N. ; Gramenitsky, I.M. ; Kanazirsky, H. ; et al.
Yad.Fiz. 11 (1970) 613-628, 1970.
Inspire Record 63401 DOI 10.17182/hepdata.19286

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Measurements of k+ p elastic scattering differential cross sections in the incident momentum range 1368 to 2259 mev/c

Barber, P.C. ; Broome, T.A. ; Busza, W. ; et al.
Nucl.Phys.B 61 (1973) 125-154, 1973.
Inspire Record 83885 DOI 10.17182/hepdata.32486

Measurements of complete angular distributions of elastic K + p scattering at closely spaced incident momenta from 1368 to 2259 MeV/ c are presented and discussed. A PDP-8 computer controlled system of scintillation counters and core-readout wire spark chambers was used for the detection of elastic events. Diffractive behaviour is already present at the lowest measured momentum and becomes more prominent as the incident momentum increases. An expansion of the angular distributions in terms of Legendre polynomials shows no marked structure of the expansion coefficients as functions of the incident momentum. Our measurements can be adequately described by a number of existing phase shift solutions within 5% of their published values. Also Regge pole extrapolations represent our data satisfactorily.

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USE OF PI P ---> PI PI N REACTIONS TO STUDY PI PI SCATTERING IN THE ELASTIC INTERACTION REGION

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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Differential Cross-Sections for pi- p and pi+ p Elastic Scattering Between 400-GeV/c and 590-MeV/c

Gordeev, V.A. ; Koptev, V.P. ; Kruglov, S.P. ; et al.
Yad.Fiz. 24 (1976) 1144-1151, 1976.
Inspire Record 113036 DOI 10.17182/hepdata.18345

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DETERMINATION OF PARTIAL CROSS SECTIONS OF INELASTIC p + p INTERACTIONS FOR 10 GeV/c MOMENTA

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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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 $B = 19.73 \pm 0.14 \; ({\mbox{stat.}}) \pm 0.26 \; ({\mbox{syst.}}) \; \mbox{GeV}^{-2}$.

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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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Version 2
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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