scholarly journals DETAILED ANALYSIS OF p+p ELASTIC SCATTERING DATA IN THE QUARK–DIQUARK MODEL OF BIALAS AND BZDAK FROM $\sqrt{s} = 23.5~{\rm GeV}$ TO 7 TeV

2012 ◽  
Vol 27 (30) ◽  
pp. 1250175 ◽  
Author(s):  
F. NEMES ◽  
T. CSÖRGŐ
Keyword(s):  
Elastic Scattering ◽  
Energy Range ◽  
Detailed Analysis ◽  
Cross Section ◽  
Scattering Data ◽  
Model Parameters ◽  
Diquark Model ◽  
Proton Proton ◽  
Elastic Proton

Final results of a detailed analysis of p+p elastic scattering data are presented, utilizing the quark–diquark model of protons in a form proposed by Bialas and Bzdak. The differential cross-section of elastic proton–proton collisions is analyzed in a detailed and systematic manner at small momentum transfers, starting from the energy range of CERN ISR at [Formula: see text], including also recent TOTEM data at the present LHC energies at [Formula: see text]. These studies confirm the picture that the size of proton increases systematically with increasing energies, while the size of the constituent quarks and diquarks remains approximately independent of (or only increases slightly with) the colliding energy. The detailed analysis indicates correlations between model parameters and also indicates an increasing role of shadowing at LHC energies. Within the investigated class of models, a simple and model-independent phenomenological relation was discovered that connects the total p+p scattering cross-section to the effective quark, diquark size and their average separation. Our best fits indicate that the relative error of this phenomenological relation is 10–15% in the considered energy range.

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 ELASTIC SCATTERING OF PROTONS FROM $\sqrt{s} = 23.5~{\rm GeV}$ to 7 TeV FROM A GENERALIZED BIALAS–BZDAK MODEL

2014 ◽  
Vol 29 (02) ◽  
pp. 1450019 ◽  
Author(s):  
T. CSÖRGŐ ◽  
F. NEMES
Keyword(s):  
Elastic Scattering ◽  
Total Cross Section ◽  
Cross Section ◽  
Scattering Amplitude ◽  
Elastic Cross Section ◽  
Forward Scattering Amplitude ◽  
Proton Proton ◽  
Elastic Proton ◽  
Model Independent ◽  
Total P

The Bialas–Bzdak model of elastic proton–proton scattering is generalized to the case when the real part of the parton–parton level forward scattering amplitude is nonvanishing. Such a generalization enables the model to describe well the dip region of the differential cross-section of elastic scattering at the intersecting storage rings (ISR) energies, and improves significantly the ability of the model to describe also the recent TOTEM data at [Formula: see text] LHC energy. Within this framework, both the increase of the total cross-section, as well as the decrease of the location of the dip with increasing colliding energies, is related to the increase of the quark–diquark distance and to the increase of the "fragility" of the protons with increasing energies. In addition, we present and test the validity of two new phenomenological relations: one of them relates the total p+p cross-section to an effective, model-independent proton radius, while the other relates the position of the dip in the differential elastic cross-section to the measured value of the total cross-section.

scholarly journals Proton Holography Discovering Odderon from Scaling Properties of Elastic Scattering

2020 ◽  
Vol 235 ◽  
pp. 06002
Author(s):  
T. Csörgö ◽  
T. Novák ◽  
R. Pasechnik ◽  
A. Ster ◽  
I. Szanyi
Keyword(s):  
Elastic Scattering ◽  
Scattering Data ◽  
Proton Scattering ◽  
Proton Proton ◽  
Scaling Properties ◽  
Elastic Proton

We investigate the scaling properties of elastic scattering data at ISR and LHC energies, and find that the significance of an Odderon observation is larger than the discovery threshold of 5σ. As an unexpected by-product of these investigations, for certain experimentally relevant cases, we also conjecture the possibility of proton holography with the help of elastic proton-proton scattering.

scholarly journals Prediction of Rms Charge Radius of Proton Using Proton–Proton Elastic Scattering Data at TeV

2021 ◽  
Vol 67 (3 May-Jun) ◽  
Author(s):  
Sarwat Zahra ◽  
Bushra 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.

Differential cross-section measurements in positron–argon collisions

1996 ◽  
Vol 74 (7-8) ◽  
pp. 505-508 ◽  
Author(s):  
R. M. Finch ◽  
Á. Kövér ◽  
M. Charlton ◽  
G. Laricchia
Keyword(s):  
Elastic Scattering ◽  
Differential Cross Section ◽  
Inelastic Scattering ◽  
Energy Range ◽  
Cross Section ◽  
Cross Sections ◽  
Differential Cross ◽  
Coupling Effect ◽  
Channel Coupling ◽  
Scattering Cross

Differential cross sections for elastic scattering and ionization in positron–argon collisions as a function of energy (40–150 eV) are reported at 60°. Of particular interest is the energy range 55–60 eV, where earlier measurements by the Detroit group found a drop in the elastic-scattering cross section of a factor of 2. This structure has been tentatively attributed to a cross channel-coupling effect with an open inelastic-scattering channel, most likely ionization. Our results indicate that ionization remains an important channel over the same energy range and only begins to decrease at an energy above 60 eV.

Measurements of the proton-proton total cross section and small angle elastic scattering at ISR energies

1978 ◽  
Vol 141 (1-2) ◽  
pp. 1-28 ◽  
Author(s):  
L. Baksay ◽  
L. Baum ◽  
A. Böhm ◽  
A. Derevshikov ◽  
G. de Zorzi ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Total Cross Section ◽  
Cross Section ◽  
Small Angle ◽  
Proton Proton

scholarly journals Measurement of proton-proton elastic scattering and total cross-section at \chem{\sqrt {s} = 7\,TeV}

2013 ◽  
Vol 101 (2) ◽  
pp. 21002 ◽  
Author(s):  
◽  
G. Antchev ◽  
P. Aspell ◽  
I. Atanassov ◽  
V. Avati ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Total Cross Section ◽  
Cross Section ◽  
Proton Proton ◽  
Proton Elastic Scattering

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.

DIFFERENTIAL OPERATORS FOR SCATTERING AMPLITUDES

2007 ◽  
Vol 16 (09) ◽  
pp. 2910-2914
Author(s):  
MÁRCIO JOSÉ MENON ◽  
REGINA FONSECA ÁVILA
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitudes ◽  
Cross Section ◽  
Differential Form ◽  
Differential Operators ◽  
Dispersion Relations ◽  
Proton Scattering ◽  
Cross Section Data ◽  
Proton Proton ◽  
Section Data

We discuss novel dispersion relations in differential form, connecting real and imaginary parts of elastic scattering amplitudes and formally valid at any energy above the physical threshold. By means of fits to total cross section data from proton-proton and antiproton-proton scattering, we evaluate the corresponding ratio ρ between the real and imaginary parts of the forward amplitudes. We show that the results are exactly the same as those obtained through standard integral dispersion relations.

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