Total Hadronic Cross-Section Data and the Froissart–Martin Bound

Fagundes, D. A.; Menon, M. J.; Silva, P. V. R. G.

doi:10.1007/s13538-012-0099-5

Cited by 12 publications

(54 citation statements)

References 60 publications

(125 reference statements)

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“…However, as commented in Sect. III, analytical parametrizations for the total cross section and the ρ parameter, as those obtained by the COMPETE Collaboration (or possible deviation from this result, if confirmed by the experimental data [28]), may be combined with our results in the Glauber connection, Eqs. (8)(9), reducing the uncertainties bands in the extrapolations to cosmic-ray energies.…”

Section: Analytical Parametrization and Fit Resultsmentioning

confidence: 63%

Total hadronic cross section and the elastic slope: An almost model-independent connection

Fagundes

Menon

2012

Nuclear Physics A

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An almost model-independent parametrization for the ratio of the total cross section to the elastic slope, as function of the center of mass energy, is introduced. The analytical result is based on the approximate relation of this quantity with the ratio R of the elastic to total cross section and empirical fits to the R data from proton-proton scattering above 10 GeV, under the conditions of asymptotic unitarity and the black-disk limit. This parametrization may be useful in studies of extensive air showers and the determination of the proton-proton total cross section from proton-air production cross section in cosmic-ray experiments.PACS numbers: 13.85.-t, 13.85.TpTo be published in Nuclear Physics A

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Section: Analytical Parametrization and Fit Resultsmentioning

confidence: 63%

Total hadronic cross section and the elastic slope: An almost model-independent connection

Fagundes

Menon

2012

Nuclear Physics A

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“…Moreover, and perhaps most importantly, extension of the parametrization for σ tot to fit the elastic (integrated) cross section data, σ el (s), led to asymptotic ratios between σ el (s) and σ tot below the black-disk limit (1/2) and consistent with the fractional limit 1/3 [38,39]. Although answering, at least partially, the above mentioned two questions, the lack of unique solutions gives rise to some unavoidable critical discussions involving different points of view, as for example, those in [42] and in [43]. We shall return to the above two questions in our conclusions.…”

Section: Introductionmentioning

confidence: 82%

A study on analytic parametrizations for proton–proton cross-sections and asymptotia

Menon

Silva

2013

J. Phys. G: Nucl. Part. Phys.

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A comparative study on some representative parametrizations for the total and elastic cross-sections as a function of energy is presented. The dataset comprises pp andpp scattering in the c.m energy interval 5 GeV -8 TeV. The parametrization for the total cross-section at low and intermediate energies follows the usual reggeonic structure (non-degenerate trajectories). For the leading high-energy pomeron contribution, we consider three distinct analytic parametrizations: either a power (P ) law, or a log-squared (L2) law or a log-raised-to-γ (Lγ) law, where the exponent γ is treated as a real free fit parameter. The parametrizations are also extended to fit the elastic (integrated) cross-section data in the same energy interval. Our main conclusions are the following: (1) the data reductions with the logarithmic laws show strong dependence on the unknown energy scale involved, which is treated here either as a free parameter or fixed at the energy threshold; (2) the fit results with the P law, the L2 law (free scale) and the Lγ law (fixed scale and exponent γ above 2) are all consistent within their uncertainties and with the experimental data up to 7 TeV, but they partially underestimate the high-precision TOTEM measurement at 8 TeV;(3) once compared with these results, the L2 law with fixed scale is less consistent with the data and, in the case of a free scale, this pomeron contribution decreases as the energy increases below the scale factor (which lies above the energy cutoff); (4) in all cases investigated, the predictions for the asymptotic ratio between the elastic and total cross-sections, within the uncertainties, do not exceed the value 0.430 (therefore, below the black-disc limit) and the results favor rational limits between 1/3 and 2/5. We are led to conclude that the rise of the hadronic cross-sections at the highest energies still constitutes an open problem, demanding further and detailed investigation.

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“…Therefore, physical results are obtained in the limit χ → ∞, that we now discuss. Since 10 32) we have that h α → 1 after analytic continuation and in the large-χ limit, and that…”

Section: Jhep03(2014)002mentioning

confidence: 99%

“…We mention at this point that the log 2 s behaviour of total cross sections has been recently questioned in refs. [32][33][34], and the validity itself of the FLM bound has also been put under scrutiny [35] (see however also ref. [23] for a comment).…”

Section: Jhep03(2014)002mentioning

confidence: 99%

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Hadronic total cross sections at high energy and the QCD spectrum

Giordano

Meggiolaro

2014

J. High Energ. Phys.

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Abstract:We show how to obtain the leading energy dependence of hadronic total cross sections, in the framework of the nonperturbative approach to soft high-energy scattering based on Wilson-loop correlation functions, if certain nontrivial analyticity assumptions are satisfied. The total cross sections turn out to be of "Froissart" type, σfor s → ∞. We also discuss under which conditions the coefficient B is universal, i.e., independent of the hadrons involved in the scattering process. In the most natural scenarios for universality, B can be related to the stable spectrum of QCD, and is predicted to be B th 0.22 mb, in fair agreement with experimental results. If we consider, instead, the stable spectrum of the quenched (i.e., pure-gauge) theory, we obtain a quite larger value B (Q) th ≥ 0.42 mb, suggesting (quite surprisingly) large unquenching effects due to the sea quarks.

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Total Hadronic Cross-Section Data and the Froissart–Martin Bound

Cited by 12 publications

References 60 publications

Total hadronic cross section and the elastic slope: An almost model-independent connection

Total hadronic cross section and the elastic slope: An almost model-independent connection

A study on analytic parametrizations for proton–proton cross-sections and asymptotia

Hadronic total cross sections at high energy and the QCD spectrum

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