Analytic models and forward scattering from accelerator to cosmic-ray energies

Ávila, R. F.; Luna, E. G. S.; Menon, M. J.

doi:10.1103/physrevd.67.054020

Cited by 32 publications

(68 citation statements)

References 52 publications

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“…The highest value concerns the measurement by the CDF Collaboration (CDF) [10] and the lowest values, the measurements by the E710 and E811 Collaborations (E710/E811) [11]. In the case of pp total cross sections, extracted from p-air cross sections (cosmic rays) at √ s : 6 -40 TeV, the highest estimations concern the results by Nikolaev and also by Gaisser, Sukhatme and Yodh (NGSY) [14] and the lowest estimations, the results by Block, Halzen and Stanev (BHS) [15] (detailed discussion on the experimental uncertainties, together with numerical tables may be found in [9]). …”

Section: Extrema Boundsmentioning

confidence: 99%

“…Therefore, these reactions provide a good ground for investigating the effects of the bounds obtained for the soft Pomeron intercept. In this Section we present the results of global fits to the (4), with the extrema bounds (solid) and the constrained bounds (dashed), and parameters from Tables 1 and 2, respectively (see [9] and [12] for discussions on the numerical points displayed at the cosmic-ray energy region).…”

Section: γP and γγ Scatteringmentioning

confidence: 99%

“…4, together with the experimental data and estimations used in the ensembles (see [9] and [12] for references and discussions on these and others numerical values).…”

Section: Bounds For the Rise Of The Pp Andpp Total Cross Sectionsmentioning

confidence: 99%

“…More recently, new data analyzes with extended models that allow the splitting of the Reggeon trajectories (non-degenerate C = +1 and C = −1 meson trajectories) or using different estimations for σ tot from cosmic-ray experiments, have indicated larger values for the Pomeron intercept, namely 1.09 -1.12 [6,7,8,9]. In general these analyzes are characterized by global fits of the Pomeron/Reggeon parameters to the forward scattering data, that is, without using as input the fitted trajectories from the Chew-Frautschi plots.…”

Section: Introductionmentioning

confidence: 99%

“…Experimental information on pp total cross sections from cosmic-ray experiments exist in the energy region √ s : 6 -40 TeV, but they are also characterized by discrepancies and large uncertainties [9].…”

Section: Introductionmentioning

confidence: 99%

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An analysis on extrema and constrained bounds for the soft pomeron intercept

2004

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We investigate some aspects and consequences of the extrema bounds for the soft Pomeron intercept, recently determined by means of global fits to pp andpp total cross section data at both accelerator and cosmic-ray energy regions (scattering data). We also examine the effects of the secondary Reggeons by introducing fitted trajectories from Chew-Frautschi plots (spectroscopy data) and determining new constrained bounds for the Pomeron intercept. In both cases we extend the analysis to baryon − p, meson − p, baryon − n, meson − n, gamma − p and gamma − gamma scattering, presenting tests on factorization and quark counting rules. We show that in all the cases investigated, the bounds lead to good descriptions of the bulk of experimental data on the total cross sections, but with different extrapolations to higher energies. Our main conclusion is that the experimental information presently available on the above quantities is not sensitive to an uncertainty of 2% in the value of the soft Pomeron intercept. At 14 TeV (CERN LHC) the extrema and constrained bounds allow to infer σ tot = 114 ± 25 mb and 105 ± 10 mb, respectively.

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Section: Extrema Boundsmentioning

confidence: 99%

Section: γP and γγ Scatteringmentioning

confidence: 99%

“…4, together with the experimental data and estimations used in the ensembles (see [9] and [12] for references and discussions on these and others numerical values).…”

Section: Bounds For the Rise Of The Pp Andpp Total Cross Sectionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An analysis on extrema and constrained bounds for the soft pomeron intercept

2004

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

2012

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The energy dependence of the total hadronic cross section at high energies is investigated with focus on the recent experimental result by the TOTEM Collaboration at 7 TeV and the Froissart-Martin bound. On the basis of a class of analytical parametrization with the exponent γ in the leading logarithm contribution as a free parameter, different variants of fits to pp andpp total cross section data above 5 GeV are developed. Two ensembles are considered, the first comprising data up to 1.8 TeV, the second also including the data collected at 7 TeV. We shown that in all fit variants applied to the first ensemble the exponent is statistically consistent with γ = 2. Applied to the second ensemble, however, the same variants yield γ's above 2, a result already obtained in two other analysis, by U. Amaldi et al. and by the UA4/2 Collaboration. As recently discussed by Ya. I. Azimov, this faster-than-squared-logarithm rise does not necessarily violate unitarity. Our results suggest that the energy dependence of the hadronic total cross section at high energies still constitute an open problem. PACS numbers: 13.85.-t Hadron-induced high-and super-high-energy interactions, 13.85.Lg Total cross sections, 11.10.Jj Asymptotic problems and properties

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Critical analysis of derivative dispersion relations at high energies

Ávila

Menon

2004

Nuclear Physics A

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We discuss some formal and fundamental aspects related with the replacement of integral dispersion relations by derivative forms, and their practical uses in high energy elastic hadron scattering, in particular $pp$ and $\bar{p}p$ scattering. Starting with integral relations with one subtraction and considering parametrizations for the total cross sections belonging to the class of entire functions in the logarithm of the energy, a series of results is deduced and our main conclusions are the following: (1) except for the subtraction constant, the derivative forms do not depend on any additional free parameter; (2) the only approximation in going from integral to derivative relations (at high energies) concerns to assume as zero the lower limit in the integral form; (3) the previous approximation and the subtraction constant affect the fit results at both low and high energies and therefore, the subtraction constant can not be disregarded; (4) from a practical point of view, for single-pole Pomeron and secondary reggeons parametrizations and center-of-mass energies above 5 GeV, the derivative relations with the subtraction constant as a free fit parameter are completely equivalent to the integral forms with finite (non-zero) lower limit. A detailed review on the conditions of validity and assumptions related with the replacement of integral by derivative relations is also presented and discussed.Comment: Revised version, 30 pages, 16 eps-figures, elsart.cls (included), to appear in Nucl Phys.

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Analytic models and forward scattering from accelerator to cosmic-ray energies

Cited by 32 publications

References 52 publications

An analysis on extrema and constrained bounds for the soft pomeron intercept

An analysis on extrema and constrained bounds for the soft pomeron intercept

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

Critical analysis of derivative dispersion relations at high energies

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