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 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 PROTON PROFILE FUNCTION AT 52.8 GeV

2007 ◽  
Vol 16 (09) ◽  
pp. 2923-2926 ◽  
Author(s):  
GEOVANNA LUIZ PEREIRA DA SILVA ◽  
MÁRCIO JOSÉ MENON ◽  
REGINA FONSECA ÁVILA
Keyword(s):  
Error Propagation ◽  
Scattering Amplitude ◽  
Profile Function ◽  
Proton Proton ◽  
Section Data ◽  
Elastic Proton ◽  
Model Independent ◽  
Impact Parameter Space ◽  
The Impact ◽  
Novel Model

We present the results of a novel model-independent fit to elastic proton-proton differential cross section data at [Formula: see text]. Taking into account the error propagation from the fit parameters, we determine the scattering amplitude in the impact parameter space (the proton profile function) and its statistical uncertainty region. We show that both the real and imaginary parts of the profile are consistent with two dynamical contributions, one from a central dense region, up to roughly 1 fm and another from a peripheral evanescent region from 1 to 3 fm.

scholarly journals Is There a Hollow Inside the Proton?

2018 ◽  
Vol 47 ◽  
pp. 1860097 ◽  
Author(s):  
V. A. Petrov ◽  
A. P. Samokhin
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitude ◽  
Scattering Data ◽  
Unitarity Condition ◽  
Proton Proton ◽  
Proton Elastic Scattering ◽  
Relative Transparency ◽  
Elastic Scattering Amplitude ◽  
Impact Parameter Space ◽  
The Impact

We discuss a recently proposed interpretation of some model descriptions of the proton-proton elastic scattering data as a manifestation of alleged relative transparency of the central part of the interaction region in the impact parameter space. We argue that the presence of nonzero real part of the elastic scattering amplitude in the unitarity condition enables to conserve the traditional interpretation.

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 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 A note on the relations between elastic and inelastic interactions and increasing ratio σel(s)/σtot(s) at the LHC

2019 ◽  
Vol 34 (32) ◽  
pp. 1950259 ◽  
Author(s):  
S. M. Troshin ◽  
N. E. Tyurin
Keyword(s):  
Elastic Scattering ◽  
Energy Dependence ◽  
Impact Parameter ◽  
Cross Sections ◽  
Parameter Dependence ◽  
Slope Parameter ◽  
Short Notice ◽  
Inelastic Interactions ◽  
The Impact ◽  
Mode A

We comment briefly on relations between the elastic and inelastic cross-sections valid for the shadow and reflective modes of the elastic scattering. Those are based on the unitarity arguments. It is shown that the redistribution of the probabilities of the elastic and inelastic interactions (the form of the inelastic overlap function becomes peripheral) under the reflective scattering mode can lead to increasing ratio of [Formula: see text] at the LHC energies. In the shadow scattering mode, the mechanism of this increase is a different one, since the impact parameter dependence of the inelastic interactions probability is central in this mode. A short notice is also given on the slope parameter and the leading contributions to its energy dependence in both modes.

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