Real part of scattering amplitude at ultrahigh energies

2015 ◽  
Vol 30 (30) ◽  
pp. 1550188 ◽  
Author(s):  
V. V. Anisovich ◽  
V. A. Nikonov ◽  
J. Nyiri
Keyword(s):  
Impact Parameter ◽  
Parameter Space ◽  
Scattering Amplitude ◽  
Black Disk ◽  
Asymptotic Regime ◽  
The Real ◽  
Impact Parameter Space ◽  
The Impact

On the basis of requirements of unitarity and analyticity we analyze the real and imaginary parts of the scattering amplitude at recent ultrahigh energies, [Formula: see text]. The predictions for the region [Formula: see text] and [Formula: see text] are given supposing the black disk asymptotic regime. It turns out that the real part of the amplitude is concentrated in the impact parameter space at the border of the black disk.

scholarly journals Cul-De-Sac of the Spatial Image of Proton Interactions

Physics ◽  
2019 ◽  
Vol 1 (1) ◽  
pp. 33-39 ◽  
Author(s):  
Igor Dremin
Keyword(s):  
Elastic Scattering ◽  
Impact Parameter ◽  
Imaginary Part ◽  
Parameter Space ◽  
Scattering Amplitude ◽  
Unitarity Condition ◽  
Spatial Image ◽  
Elastic Scattering Amplitude ◽  
Impact Parameter Space ◽  
The Impact

The unitarity condition in the impact parameter space is used to obtain some information about the shape of the interaction region of colliding protons. It is shown that, strictly speaking, a reliable conclusion can be gained only if the behavior of the elastic scattering amplitude (especially, its imaginary part) at all transferred momenta is known. This information is currently impossible to obtain from experimentation. In practice, several assumptions and models are used. They lead to different results as shown below.

scholarly journals Asymptotic regimes for hadron diffractive scatterings and Coulomb interaction: Arguments for the black disk mode

2016 ◽  
Vol 31 (11) ◽  
pp. 1650053
Author(s):  
V. V. Anisovich ◽  
V. A. Nikonov ◽  
J. Nyiri
Keyword(s):  
Function Technique ◽  
Coulomb Interactions ◽  
Black Disk ◽  
Asymptotic Regime ◽  
8 Tev ◽  
Impact Parameter Space ◽  
The Impact ◽  
Disk Mode ◽  
Broad Energy ◽  
Hadronic Amplitude

Comparative analysis of the interplay of hadron and Coulomb interactions in [Formula: see text] scattering amplitudes is performed in a broad energy interval, [Formula: see text], for two extreme cases: for the asymptotic interactions of hadrons in black disk and resonant disk modes. The interactions are discussed in terms of the [Formula: see text]-matrix function technique. In the asymptotic regime, the real part of the hadronic amplitude is concentrated in both cases on the boundary of the disks in the impact parameter space but the LHC energy region is not asymptotic for the resonant disk mode that lead to a specific interplay of hadronic and Coulombic amplitudes. For the [Formula: see text] scattering at [Formula: see text] an interplay of the hadron and Coulomb interactions in the resonant disk modes is realized in a shoulder in [Formula: see text] at [Formula: see text]. The absence of such a shoulder in the data at 8 TeV can be considered as an argument against the resonant disk mode.

scholarly journals Centrality in hadron collisions

2019 ◽  
Vol 34 (29) ◽  
pp. 1950172 ◽  
Author(s):  
S. M. Troshin ◽  
N. E. Tyurin
Keyword(s):  
Probability Distribution ◽  
Impact Parameter ◽  
Parameter Space ◽  
Black Ring ◽  
Impact Parameter Space ◽  
The Impact ◽  
Straightforward Extension

In hadron interactions at the LHC energies, the reflective scattering mode starts to play a noticeable role which is expected to be even a more significant beyond the energies of the LHC. This new but still arguable phenomenon implies a peripheral dependence of the inelastic probability distribution in the impact parameter space and asymptotically evolving to the black ring. As a consequence, the straightforward extension to hadrons of the centrality definition adopted for nuclei needs to be modified.

scholarly journals PHENOMENOLOGICAL ANALYSIS OF pp AND $\bar{p}p$ ELASTIC SCATTERING DATA IN THE IMPACT PARAMETER SPACE

2010 ◽  
Vol 25 (09) ◽  
pp. 1937-1950 ◽  
Author(s):  
S. D. CAMPOS
Keyword(s):  
Elastic Scattering ◽  
Impact Parameter ◽  
Parameter Space ◽  
Error Propagation ◽  
Scattering Data ◽  
Hadron Interaction ◽  
Space Error ◽  
Model Independent ◽  
Impact Parameter Space ◽  
The Impact

We use an almost model-independent analytical parametrization for pp and [Formula: see text] elastic scattering data to analyze the eikonal, profile and inelastic overlap functions in the impact parameter space. Error propagation in the fit parameters allows estimations of uncertainty regions, improving the geometrical description of the hadron–hadron interaction. Several predictions are shown and, in particular, the prediction for pp inelastic overlap function at [Formula: see text] shows the saturation of the Froissart–Martin bound at LHC energies.

scholarly journals Hadron diffractive scattering at ultrahigh energies and Coulomb interaction

2016 ◽  
Vol 31 (08) ◽  
pp. 1650051 ◽  
Author(s):  
V. V. Anisovich ◽  
V. A. Nikonov
Keyword(s):  
Function Technique ◽  
Interference Effects ◽  
Coulomb Interactions ◽  
Black Disk ◽  
The Real ◽  
Diffractive Scattering ◽  
Impact Parameter Space ◽  
K Matrix ◽  
The Impact

We study the interplay of hadronic and Coulomb interactions for pp scattering at LHC energies on the basis of the previous determination of the real part of the amplitude [V. V. Anisovich, V. A. Nikonov and J. Nyiri, Int. J. Mod. Phys. A 30, 1550188 (2015)]. The interference of hadron and Coulomb interactions is discussed in terms of the K-matrix function technique. Supposing the black disk mode for the asymptotic interaction of hadrons, we calculate interference effects for the energies right up to [Formula: see text] TeV. It turns out that the real part of the amplitude is concentrated in the impact parameter space at the border of the black disk that results in a growth of interplay effects with the energy increase.

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