Applicability of a Representation for the Martin's Real-Part Formula in Model-Independent Analyses

Fagundes, D. A.; Menon, M. J.

doi:10.1142/s0217751x1105378x

Cited by 9 publications

(15 citation statements)

References 75 publications

(174 reference statements)

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“…In the majority of published analyses of experimental data the corresponding freedom has been, however, strongly limited by the choice of amplitude parameterization. The imaginary part has been usually assumed to be dominant in a great interval of t and vanishing in the region around diffractive minimum; with the real part determining the non-zero value of differential cross section in the diffractive minimum; see, e.g., the earlier papers [73,75,[84][85][86][87][88][89], [90][91][92] and also recent papers [5][6][7][8][9][10][12][13][14][15][16][17][18][19]22,93,94]. Description of elastic hadronic amplitude corresponding to these widely used assumptions has been fitted to experimental data at energy of 52.8 GeV and 8 TeV in Sects.…”

Section: Discussionmentioning

confidence: 99%

Eikonal model analysis of elastic proton–proton collisions at 52.8 GeV and 8 TeV

Procházka

Kundrát

2020

Eur. Phys. J. C

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Under the influence of standardly used description of Coulomb-hadronic interference proposed by West and Yennie the protons have been interpreted as transparent objects; elastic events have been interpreted as more central than inelastic ones. It will be shown that using eikonal model the protons may be interpreted in agreement with usual ontological conception; elastic processes being more peripheral than inelastic ones. The corresponding results (differing fundamentally from the suggested hitherto models) will be presented by analyzing the most ample elastic data set measured at the ISR energy of 52.8 GeV and the LHC energy of 8 TeV. Detailed analysis of measured differential cross section will be performed and possibility of peripheral behavior on the basis of eikonal model will be presented. The impact of recently established electromagnetic form factors on determination of quantities specifying hadron interaction determined from the fits of experimental elastic data in the broadest region of momentum transfers will be analyzed.

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Section: Discussionmentioning

confidence: 99%

Eikonal model analysis of elastic proton–proton collisions at 52.8 GeV and 8 TeV

Procházka

Kundrát

2020

Eur. Phys. J. C

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“…As commented before, the fact that our prediction for the exponent in the power law at large momentum transfer is near 10 (as is the case with the Aspen model), suggest that this result is directly related with the above choice for the form factors. Since deviations from the dipole parametrization have been indicated in model-independent analyses of pp elastic scattering [51,52,53], to take into account these empirical results may give new insights in the predictions at large momentum transfer. We are presently investigating the above two lines.…”

Section: Discussionmentioning

confidence: 99%

Aspects of a dynamical gluon mass approach to elastic hadron scattering at LHC

Fagundes¹,

Luna²,

Menon³

et al. 2012

Nuclear Physics A

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We discuss how the main features of the recent LHC data on elastic scattering can be described by a QCD-inspired formalism with a dynamical infrared mass scale. For this purpose new developments on a dynamical gluon mass approach are reported, with emphasis on a method to estimate uncertainty bounds in the predictions for the high-energy scattering observables. We investigate the effects due to the correlations among the fixed and free parameters involved and show that the band of predictions are consistent with the recent data from the TOTEM experiment, including the forward quantities and the differential cross section up to the dip position.

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“…Without considering Martin's formula as a theorem with strict constraints, the relation was considered as a suggestion [48] for properties of the real part of the full |t| range data of Fermilab and ISR experiments in the energy range √ s = 19.4-62.5 GeV. The imaginary and real parts are fitted together, using a total of 12 parameters for each energy, with representations for real and imaginary parts connected by the formula.…”

Section: Pomeron Modelsmentioning

confidence: 99%

Analytical representation for amplitudes and differential cross section of pp elastic scattering at 13 TeV

2021

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With analytical representation for the pp scattering amplitudes introduced and tested at lower energies, a description of high precision is given of the $$d\sigma /dt$$ d σ / d t data at $$\sqrt{s}= 13$$ s = 13 TeV for all values of the momentum transfer, with explicit identification of the real and imaginary parts. In both t and b coordinates the amplitudes have terms identified as of non-perturbative and perturbative nature, with distinction of their influences in forward and large |t| ranges and in central and peripheral regions respectively. In the forward range, the role of the Coulomb-nuclear interference phase is investigated. The energy dependence of the parameters of the amplitudes are reviewed and updated, revealing a possible emergence of a peculiar behavior of elastic and inelastic profiles in b-space for central collisions, which seems to be enhanced quickly at higher energies. Some other models are also briefly discussed in comparison, including the above mentioned behavior in b-space.

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Applicability of a Representation for the Martin's Real-Part Formula in Model-Independent Analyses

Cited by 9 publications

References 75 publications

Eikonal model analysis of elastic proton–proton collisions at 52.8 GeV and 8 TeV

Eikonal model analysis of elastic proton–proton collisions at 52.8 GeV and 8 TeV

Aspects of a dynamical gluon mass approach to elastic hadron scattering at LHC

Analytical representation for amplitudes and differential cross section of pp elastic scattering at 13 TeV

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