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.

scholarly journals ANALYSIS OF pp AND $\bar pp$ ELASTIC SCATTERING BASED ON HIGH ENERGY BOUNDS

2010 ◽  
Vol 25 (29) ◽  
pp. 5333-5348 ◽  
Author(s):  
S. D. CAMPOS ◽  
V. A. OKOROKOV
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitude ◽  
Hadron Collider ◽  
High Energy ◽  
Scattering Data ◽  
Optical Theorem ◽  
Proton Proton ◽  
Proton Elastic Scattering ◽  
Energy Bounds ◽  
Elastic Scattering Amplitude

Considering the Froissart–Martin bound, Jin–Martin–Cornille bound and the optical theorem, we propose a novel parametrization for the total cross-section of proton–proton and antiproton–proton elastic scattering data. Using derivative dispersion relations we obtain the real part of the elastic scattering amplitude and thus the ρ parameter. Simultaneous fits to σtot and ρ are performed allowing very good statistical descriptions of the available data. Furthermore, predictions to σtot and ρ at energies not used in the fit procedures are presented. For σtot we obtain predictions at RHIC, LHC and future hadron collider 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 First determination of the $${\rho }$$ parameter at $${\sqrt{s} = 13}$$ TeV: probing the existence of a colourless C-odd three-gluon compound state

2019 ◽  
Vol 79 (9) ◽  
Author(s):  
G. Antchev ◽  
P. Aspell ◽  
I. Atanassov ◽  
V. Avati ◽  
J. Baechler ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Total Cross Section ◽  
Cross Section ◽  
Scattering Amplitude ◽  
Theoretical Models ◽  
Proton Proton ◽  
Slowing Down ◽  
Proton Elastic Scattering ◽  
Compound State ◽  
Elastic Scattering Amplitude

Abstract The TOTEM experiment at the LHC has performed the first measurement at $$\sqrt{s} = 13\,\mathrm{TeV}$$s=13TeV of the $$\rho $$ρ parameter, the real to imaginary ratio of the nuclear elastic scattering amplitude at $$t=0$$t=0, obtaining the following results: $$\rho = 0.09 \pm 0.01$$ρ=0.09±0.01 and $$\rho = 0.10 \pm 0.01$$ρ=0.10±0.01, depending on different physics assumptions and mathematical modelling. The unprecedented precision of the $$\rho $$ρ measurement, combined with the TOTEM total cross-section measurements in an energy range larger than $$10\,\mathrm{TeV}$$10TeV (from 2.76 to $$13\,\mathrm{TeV}$$13TeV), has implied the exclusion of all the models classified and published by COMPETE. The $$\rho $$ρ results obtained by TOTEM are compatible with the predictions, from other theoretical models both in the Regge-like framework and in the QCD framework, of a crossing-odd colourless 3-gluon compound state exchange in the t-channel of the proton–proton elastic scattering. On the contrary, if shown that the crossing-odd 3-gluon compound state t-channel exchange is not of importance for the description of elastic scattering, the $$\rho $$ρ value determined by TOTEM would represent a first evidence of a slowing down of the total cross-section growth at higher energies. The very low-|t| reach allowed also to determine the absolute normalisation using the Coulomb amplitude for the first time at the LHC and obtain a new total proton–proton cross-section measurement $$\sigma _{\mathrm{tot}} = (110.3 \pm 3.5)\,\mathrm{mb}$$σtot=(110.3±3.5)mb, completely independent from the previous TOTEM determination. Combining the two TOTEM results yields $$\sigma _{\mathrm{tot}} = (110.5 \pm 2.4)\,\mathrm{mb}$$σtot=(110.5±2.4)mb.

scholarly journals Some Recent Results on High-Energy Proton Interactions

Particles ◽  
2019 ◽  
Vol 2 (1) ◽  
pp. 57-69 ◽  
Author(s):  
I. M. Dremin
Keyword(s):  
Cross Sections ◽  
Scattering Amplitude ◽  
High Energy ◽  
Unitarity Condition ◽  
Total Cross Sections ◽  
Energy Proton ◽  
Elastic Scattering Amplitude ◽  
Energy Behavior ◽  
Impact Parameter Space ◽  
The Impact

Recent experimental results about the energy behavior of the total cross sections, the share of elastic and inelastic contributions to them, the peculiar shape of the differential cross section and our guesses about the behavior of real and imaginary parts of the elastic scattering amplitude are discussed. The unitarity condition relates elastic and inelastic processes. Therefore it is used in the impact-parameter space to get some information about the shape of the interaction region of colliding protons by exploiting new experimental data. The obtained results are described.

scholarly journals The Profile of Inelastic Collisions from Elastic Scattering Data

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
I. M. Dremin
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Scattering Amplitude ◽  
Inelastic Collisions ◽  
Scattering Data ◽  
Inelastic Interaction ◽  
Unitarity Condition ◽  
Black Disk ◽  
Elastic Scattering Amplitude ◽  
Inelastic Processes

Using the unitarity relation in combination with experimental data about the elastic scattering in the diffraction cone, it is shown how the shape and the darkness of the inelastic interaction region of colliding protons change with increase of their energies. In particular, the collisions become fully absorptive at small impact parameters at LHC energies that results in some special features of inelastic processes. Possible evolution of this shape with the dark core at the LHC to the fully transparent one at higher energies is discussed that implies that the terminology of the black disk would be replaced by the black toroid. The approach to asymptotics is disputed. The ratio of the real to imaginary parts of the nonforward elastic scattering amplitude is briefly discussed. All the conclusions are only obtained in the framework of the indubitable unitarity condition using experimental data about the elastic scattering of protons in the diffraction cone without any reference to quantum chromodynamics (QCD) or phenomenological approaches.

Prediction of rms charge radius of proton using proton-proton elastic scattering data at TeV

2021 ◽  
Vol 67 (3 May-Jun) ◽  
pp. 491
Author(s):  
S. Zahra ◽  
B. Shafaq
Keyword(s):  
Experimental Data ◽  
Form Factor ◽  
Elastic Scattering ◽  
Cross Section ◽  
Charge Radius ◽  
Scattering Data ◽  
Proton Proton ◽  
Proton Elastic Scattering ◽  
Predicted Values ◽  
Good Agreement

Using  proton–proton elastic scattering data  at  TeV and squared four-momentum transfer 0.36 < -t <  0.76 (GeV/c)2 for 13 σBeam distance  and  0.07 < -t <  0.46 (GeV/c)2 for 4.3 σBeam distance, form factor of proton is predicted. Simplest version of Chou–Yang model is employed to extract the form factor by fitting experimental data of differential cross section from TOTEM experiment (for 13σBeamand 4.3 σBeam distance) to a single Gaussian. Root mean square (rms) charge radius of proton is calculated using this form factor.  It is found to be equal to 0.91 fm and 0.90 fm respectively. Which is in good agreement with experimental data and theoretically predicted values.

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 THE EFFECTS OF THE SMALL-t PROPERTIES OF HADRONIC SCATTERING AMPLITUDE ON THE DETERMINATION OF ITS REAL PART

2012 ◽  
Vol 27 (20) ◽  
pp. 1250113 ◽  
Author(s):  
O. V. SELYUGIN
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Cross Sections ◽  
Differential Cross ◽  
Scattering Amplitude ◽  
Differential Cross Sections ◽  
Small Momentum Transfer ◽  
Proton Elastic Scattering ◽  
Spin Flip ◽  
The Impact

Taking into account the different forms of the Coulomb-hadron interference phase and the possible spin-flip contribution the new analysis of the experimental data of the proton–antiproton elastic scattering at 3.8<pL<6.0 GeV/c and small momentum transfer is carried out. It is shown that the size of the spin-flip amplitude can be determined from the form of the differential cross-sections at small-t, and the deviation of ρ(s, t) obtained from the examined experimental data of the [Formula: see text] scattering from the analysis1, based on the dispersion relations, is conserved in all examined assumptions. The analysis of the proton–proton elastic scattering at 9<pL<70 GeV/c also shows the impact of the examined effects on the form of the differential cross-sections.

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.

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