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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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Results on Total and Elastic Cross Sections in Proton-Proton Collisions at $\sqrt{s} = 200$ GeV

The STAR collaboration Adam, Jaroslav ; Adamczyk, Leszek ; Adams, Joseph ; et al.
Phys.Lett.B 808 (2020) 135663, 2020.
Inspire Record 1791591 DOI 10.17182/hepdata.94263

We report results on the total and elastic cross sections in proton-proton collisions at $\sqrt{s}=200$ GeV obtained with the Roman Pot setup of the STAR experiment at the Relativistic Heavy Ion Collider (RHIC). The elastic differential cross section was measured in the squared four-momentum transfer range $0.045 \leq -t \leq 0.135$ GeV$^2$. The value of the exponential slope parameter $B$ of the elastic differential cross section $d\sigma/dt \sim e^{-Bt}$ in the measured $-t$ range was found to be $B = 14.32 \pm 0.09 (stat.)^{\scriptstyle +0.13}_{\scriptstyle -0.28} (syst.)$ GeV$^{-2}$. The total cross section $\sigma_{tot}$, obtained from extrapolation of the $d\sigma/dt$ to the optical point at $-t = 0$, is $\sigma_{tot} = 54.67 \pm 0.21 (stat.) ^{\scriptstyle +1.28}_{\scriptstyle -1.38} (syst.)$ mb. We also present the values of the elastic cross section $\sigma_{el} = 10.85 \pm 0.03 (stat.) ^{\scriptstyle +0.49}_{\scriptstyle -0.41}(syst.)$ mb, the elastic cross section integrated within the STAR $t$-range $\sigma^{det}_{el} = 4.05 \pm 0.01 (stat.) ^{\scriptstyle+0.18}_{\scriptstyle -0.17}(syst.)$ mb, and the inelastic cross section $\sigma_{inel} = 43.82 \pm 0.21 (stat.) ^{\scriptstyle +1.37}_{\scriptstyle -1.44} (syst.)$ mb. The results are compared with the world data.

2 data tables match query

The B-slope of the exponential fit A*exp(-B*|t|) to the single differential proton-proton elastic cross-section in the t-range 0.045<|t|<0.135 GeV**2 at sqrt(s) = 200 GeV.

The total, elastic and inelastic cross-sections for proton-proton scattering at sqrt(s)=200 GeV, the elastic cross-section measured in the t-range 0.045<|t|<0.135 GeV^2 and the value of the differential cross-section extrapolated to |t| = 0.


Elastic scattering of 7.2-BeV negative pions on protons

Ainutdinov, M.S. ; Zombkovskii, S.M. ; Nikitin, S.Ya. ; et al.
Sov.Phys.JETP 15 (1962) 1038-1040, 1962.
Inspire Record 1501539 DOI 10.17182/hepdata.76439

None

1 data table match query

No description provided.


Inelastic scattering of 390 MeV $\pi^+$ mesons from protons

Grigor'ev, E.L. ; Mitin, N.A. ;
Sov.Phys.JETP 10 (1960) 1123-1124, 1960.
Inspire Record 1498642 DOI 10.17182/hepdata.75443

None

1 data table match query

No description provided.


π−-Proton Scattering at 950 MeV

Erwin, A.R. ; Kopp, J.K. ;
Phys.Rev. 109 (1958) 1364-1366, 1958.
Inspire Record 1498681 DOI 10.17182/hepdata.75449

Approximately 1200 π−-proton interactions in a liquid hydrogen bubble chamber were studied to obtain the elastic differential cross section and inelastic partial cross sections at 950±20 Mev mean laboratory energy. Relative cross sections were converted to absolute values using the total cross section obtained by Cool and co-workers with counters. The differential cross section is inconsistent with a resonance of definite total angular momentum and parity and can be fitted by a superposition of partial waves of angular momenta up to 3ℏ without spin-flip scattering. In the center-of-mass system, 30% of the pions scatter beyond a broad minimum of the cross section at 75°.

1 data table match query

No description provided.


Produzione di mesoni pi nell’urto pi- p at 775 MeV

Bertanza, L. ; Bigi, A. ; Casali, R. ; et al.
Nuovo Cim.Suppl. 2 (1964) 673-674, 1964.
Inspire Record 1498680 DOI 10.17182/hepdata.75451

None

1 data table match query

No description provided.


π- p interactions at 650 MeV

Feminò, S. ; Jannelli, S. ; Mezzanares, F. ;
Nuovo Cim.A 52 (1967) 892-902, 1967.
Inspire Record 1498682 DOI 10.17182/hepdata.75453

We have investigated the interactions of (650±15) MeV π— in a hydrogen bubble chamber. About 104 pictures were examined and 4561 events (1946 elastic, 1204 neutrals, 1315 single-pion production, 96 multi-pion production) were found along a 33.75·105 cm total track length. The values of the deduced cross-sections are σ(π--p, elastic) = = (17.82 ± 0.70) mb, σ(neutrals) = (11.35 ± 0.54) mb, σ(π-π0p) = (4.79 ± 0.26)mb, σ(π-π+n) = (7.05 ± 0.34)mb, σ(π-π+π0n) = (0.71 ± 0.08)mb, σ(π-π0π0p) = (0.05 ± 0.02)mb, σ(total) = (41.82 ± 0.15) mb For the elastic events, the differential cross-section was fitted by a fifth-order polynomial of cos ϑ and also expanded in a sum of Legendre polynomials: we deduce that the higher azimuthal states, up toF5/2, are present. For the single-pion production the effective mass distributions were compared with the Olsson-Yodh isobar model predictions. The agreement with the model is not very satisfactory for the enhancements in the mass effective spectra of the π+π-, π-π0, di-pion channels nor for the c.m.s. angular distributions.

1 data table match query

No description provided.


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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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

None

1 data table match query

No description provided.


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.

1 data table match query

No description provided.


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

None

7 data tables match query

No description provided.

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Elastic Scattering of 300-MeV Negative Pions by Hydrogen

Vasilevskii, I.M. ; Vishnyakov, V.V. ;
Sov.Phys.JETP 11 (1960) 323-326, 1960.
Inspire Record 1407579 DOI 10.17182/hepdata.70213

The elastic scattering of 300-Mev negative pions from hydrogen was studied with the aid of a hodoscopic system with pulse-fed counters. Equation (1) gives the angular distribution for the elastic scattering under the hypothesis that the fundamental contribution to the scattering comes from the S and P waves.

1 data table match query

No description provided.


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.

33 data tables match query

No description provided.

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Elastic Scattering of 240-330 MeV π- Mesons by Hydrogen

Zinov, V.G. ; Korenchenko, S.M. ;
Sov.Phys.JETP 11 (1960) 794, 1960.
Inspire Record 1407580 DOI 10.17182/hepdata.70214

Results of measurements of differential cross sections for the elastic scattering of 11'- mesons of energies 240, 270, 307 and 333 Mev by hydrogen are given.

4 data tables match query

No description provided.

No description provided.

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$\pi^+ − p$ elastic scattering at 820, 900 and 1050 MeV

Barloutaud, R. ; Choquet-Louedec, C. ; Derem, A. ; et al.
Phys.Lett. 1 (1962) 207-208, 1962.
Inspire Record 1400915 DOI 10.17182/hepdata.31235

None

3 data tables match query

No description provided.

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$\pi^+$-proton interactions at 500 MeV incident energy

Debaisieux, J. ; Grard, F. ; Heughebaert, J. ; et al.
Nucl.Phys. 63 (1965) 273-285, 1965.
Inspire Record 1400917 DOI 10.17182/hepdata.37098

We present results on $\pi^+$-p interactions at 500 MeV from an experiment performed with the Saclay 35 cm hydrogen bubble chamber. A total of 1840 events have been observed. The branching ratio for elastic events is equal to 0.883$\pm$0.008. Eight events are unambiguously attributed to the reaction $\pi^+p\to\pi^+p\gamma$. Cross sections for the various reactions are given. The elastic angular distribution has been determined up to cos$\theta$ = +0.975 and shows evidence for S, P, D waves in good agreement with the results obtained in other experiments. For the one-pion production reactions, the ratio of $\pi^0$ production to $\pi^+$ production is found equal to 4.1$\pm$0.8. This result and the corresponding distributions for momentum and angle of the secondaries are compared with the predictions of the isobaric models.

1 data table match query

No description provided.


Structure in $\pi^+ p$ elastic backward scattering

Dobrowolski, T. ; Gus'kov, B.N. ; Likhachev, M.F. ; et al.
Phys.Lett.B 24 (1967) 203-206, 1967.
Inspire Record 1400910 DOI 10.17182/hepdata.29617

The energy dependence of the differential cross section for $\pi^+ p$ elastic scattering at a c.m. angle near 174 ° has been measured. The momentum range of incident $\pi^+$ was 2.06-4.70 GeV/c. On this energy dependence one can see a structure, i.e. maxima corresponding to the baryon resonances $\Delta(2420)$ and $\Delta(2840)$. The structure is used for determination of the parities of these resonances.

13 data tables match query

No description provided.

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Elastic differential cross sections for $\pi^+ p$ at 1.76 and 2.08 GeV/c

James, F.E. ; Johnson, J.A. ; Kraybill, H.L. ;
Phys.Lett. 19 (1965) 72-74, 1965.
Inspire Record 1400913 DOI 10.17182/hepdata.30157

None

2 data tables match query

No description provided.

No description provided.


$\pi^+ p$ interactions at 850 MeV/c

Debaisieux, J. ; Dufour, P. ; Grard, F. ; et al.
Nucl.Phys.B 5 (1968) 147-157, 1968.
Inspire Record 1400916 DOI 10.17182/hepdata.32747

Experimental results are presented on $\pi^+ p$ interactions at 850 MeV/c incident momentum. Cross sections for the various reactions are given. The elastic differential cross section has been fitted to a polynomial in, cos$\theta$ and the resulting coefficients are compared to results at neighbouring incident momenta. For the one-pion-production reactions, the (N$\pi$) effective mass distributions and the ratio of $\pi^0$ to $\pi^+$ production have been compared to the predictions of several theoretical models.

1 data table match query

No description provided.


Proton-proton scattering at 8.5 Bev

Seb, Do In ; Kirillova, L.F. ; Markov, P.K. ; et al.
Sov.Phys.JETP 14 (1962) 1243-1248, 1962.
Inspire Record 1393118 DOI 10.17182/hepdata.69762

None

2 data tables match query

No description provided.

No description provided.


Elastic pp scattering in the region of the coulomb interference at momenta 1.1 - 1.7 GeV/c

Vorob'ev, A.A. ; Denisov, A.S. ; Zalite, Yu.K. ; et al.
JETP Lett. 17 (1973) 108-110, 1973.
Inspire Record 1393129 DOI 10.17182/hepdata.39943

None

1 data table match query

REAL/IMAG FOR FORWARD AMPLITUDE DEDUCED FROM D(SIG)/DEKIN(P=3) IN THE COULOMB-NUCLEAR INTERFERENCE REGION.


Proton-proton elastic scattering at high energies

Tsyganov, É.N. ;
Sov.Phys.JETP 15 (1962) 1009-1012, 1962.
Inspire Record 1393120 DOI 10.17182/hepdata.39912

None

1 data table match query

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Summary data on elastic $pp$ and $pd$ scattering at small angles and the real part of the $pn$-scattering amplitude in the energy interval 1-10 BeV

Dalkhazhav, N. ; Devinski, P.A. ; Zayachki, V.I. ; et al.
Sov.J.Nucl.Phys. 8 (1969) 196-202, 1969.
Inspire Record 1392874 DOI 10.17182/hepdata.69719

None

25 data tables match query

RE/IM MEASUREMENTS TAKEN FROM TABLE 1 OF KIRILLOVA 65.

TABLE 1 (REF. 1 ).

RE/IM MEASUREMENTS TAKEN FROM TABLE 1 OF KIRILLOVA 65.

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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.


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