Real part of the forward elastic nuclear amplitude for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>pp</mml:mi></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>¯</mml:mi></mml:mrow></mml:mover></mml:mrow></mml:mrow><mml:mi>p</mml:mi></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><

Fajardo, L. A.; Majka, R.; Marx, J. N.; Némethy, P.; Rosselet, L.; Sandweiss, J.; Schiz, A.; Slaughter, A. J.; Ankenbrandt, C.; Ataç, M.; Brown, R. M.; Ecklund, S.; Gollon, P. J.; Lach, J.; MacLachlan, J.; Roberts, A.; Shen, Guodong

doi:10.1103/physrevd.24.46

Cited by 63 publications

(12 citation statements)

References 42 publications

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“…The purpose of the present calculations of B(s, t) is to reproduce and predict the behavior of the slope (usually not fitted) at different energies, including those of the LHC. We have calculated the local nuclear slope B(s, t) within the present model using the parameters from Table 3, and compared it with the "experimental" local nuclear slope, obtained by an "overlapping bins" procedure [28]. To calculate B(s, t), we use the approximate formula…”

Section: Local Nuclear Slopementioning

confidence: 99%

The Pomeron and Odderon in Elastic, Inelastic and Total Cross-Sections at the LHC

Jenkovszky

Lengyel

Lontkovskyi

2011

Int. J. Mod. Phys. A

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A simple model for elastic diffractive hadron scattering, reproducing the dip-bump structure is used to analyze pp andpp scattering. The main emphasis is on the delicate and non-trivial dynamics in the dip-bump region, near t = −1 GeV 2 . The simplicity of the model and the expected smallness of the absorption corrections enables one the control of various contributions to the scattering amplitude, in particular the interplay between the Ceven and C-odd components of the amplitude, as well as their relative contribution, changing with s and t. The role of the non-linearity of the Regge trajectories is scrutinized. The ratio of the real to imaginary parts of the forward amplitude, the ratio of elastic to total cross sections and the inelastic cross section are calculated. Predictions for the LHC energy region, where most of the exiting models will be either confirmed or ruled out, are presented.

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Section: Local Nuclear Slopementioning

confidence: 99%

The Pomeron and Odderon in Elastic, Inelastic and Total Cross-Sections at the LHC

Jenkovszky

Lengyel

Lontkovskyi

2011

Int. J. Mod. Phys. A

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“…The optical point, Eq. (4), is the same used in [6], namely 77.66 ± 0.02 mb GeV −2 , from σ tot = 38.98 ± 0.04 mb [19] and ρ = 0.019 ± 0.016 [20].…”

Section: Data At 194 Gevmentioning

confidence: 99%

Model-independent data reductions of elastic proton–proton scattering

2011

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Abstract. New developments in empirical analyses of the proton-proton differential cross section data at high energies are reported. Making use of an unconstrained model-independent parametrization for the scattering amplitude and two different fit procedures, all the experimental data in the center-of-mass energy interval 19.4 -62.5 GeV are quite well described (optical point and data above the region of Coulombnuclear interference). The contributions from the real and imaginary parts of the amplitude beyond the forward direction are discussed and compared with the results from previous analyses and phenomenological models. Extracted overlap functions (impact parameter space) are outlined and a critical discussion on model-independent analyses and results are also presented.PACS. 13.85.Dz Elastic scattering -13.85.-t Hadron-induced high-energy interactions

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“…The analysis with free 4-parameters gave for these values: ρ(s, t = 0) = −0.32 ± 0.08 and ρ(s, t = 0) = −0.12 ± 0.03, respectively. This kind of picture was confirmed by the independent analysis of the experimental data [15,16] 52 < p L < 400 (GeV/c) of Fajardo [17] and Selyugin [14]. Both new analysis coincide with each other but differ from the original experimental determination.…”

Section: Introductionmentioning

confidence: 63%

The energy dependence of the diffraction minimum in the elastic scattering and new LHC data

Selyugin

2017

Nuclear Physics A

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The soft diffraction phenomena in the elastic proton-proton scattering are reviewed from the viewpoint of experiments at the LHC (TOTEM and ATLAS collaboration). In the framework of the High Energy Generalized Structure (HEGS) model the form of the diffraction minimum in the nucleon-nucleon elastic scattering in a wide energy region is analyzed. The energy dependencies of the main characteristics of the diffraction dip are obtained. The numerical predictions at LHC energies are presented. The comparison of the model predictions with the new LHC data at √ s = 13 TeV is made.

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Real part of the forward elastic nuclear amplitude forpp,p¯p,<

Cited by 63 publications

References 42 publications

The Pomeron and Odderon in Elastic, Inelastic and Total Cross-Sections at the LHC

The Pomeron and Odderon in Elastic, Inelastic and Total Cross-Sections at the LHC

Model-independent data reductions of elastic proton–proton scattering

The energy dependence of the diffraction minimum in the elastic scattering and new LHC data

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