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

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

doi:10.1016/j.nuclphysa.2012.01.017

Cited by 33 publications

(60 citation statements)

References 34 publications

(57 reference statements)

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“…Let us note that we can not take for granted that the form (1.1) will persist much longer beyond currently accessible scales. Indeed there is some evidence σ pp may grow faster than the "logarithm square" growth of (1.1) [15][16][17][18][19][20]. This conclusion is in agreement with an alternative fit of experimental data [21][22][23],…”

Section: Jhep07(2015)106supporting

confidence: 81%

“…It is likely that both "power law" (1.3) and "log squared" behavior (1.1) fail to capture true asymptotic of σ pp . While the "power law" will ultimately violate Froissart-Martin bound, there is also some circumstantial evidence that "log squared" behavior of σ pp does not continue at very high energies [15][16][17][18][19][20]. The Froissart-Martin bound should apply once σ pp becomes significantly larger than 2σ FM 0 130 mb, i.e.…”

Section: Jhep07(2015)106mentioning

confidence: 99%

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Can Froissart bound explain hadron cross-sections at high energies?

Dymarsky

2015

J. High Energ. Phys.

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Experimentally observed slow growth of hadron cross-sections at high energies is a very intriguing but poorly understood property of QCD. It is tempting to explain the slow growth by saturation of Froissart bound or another similar universal mechanism. We reconsider derivation of Froissart bound in QCD in chiral limit and argue it can not justify experimentally observed behavior. Although the conventional Froissart-Martin bound should impose non-trivial constraint on the growth of hadron cross-sections, because of the small value of pion masses it will become restrictive only at currently unaccessible center-of-mass energies exceeding 10 5 -10 6 GeV.

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Section: Jhep07(2015)106supporting

confidence: 81%

Section: Jhep07(2015)106mentioning

confidence: 99%

Can Froissart bound explain hadron cross-sections at high energies?

Dymarsky

2015

J. High Energ. Phys.

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“…In this respect, previous results obtained with smaller sized datasets and treating particular aspects, have already been reported in [31][32][33][34]; we shall review these results later.…”

Section: Introductionmentioning

confidence: 60%

Exploring central opacity and asymptotic scenarios in elastic hadron scattering

Fagundes¹,

Menon²,

Silva³

2016

Nuclear Physics A

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In the absence of a global description of the experimental data on elastic and soft diffractive scattering from the first principles of QCD, model-independent analyses may provide useful phenomenological insights for the development of the theory in the soft sector. With that in mind, we present an empirical study on the energy dependence of the ratio X between the elastic and total cross sections; a quantity related to the evolution of the hadronic central opacity. The dataset comprises all the experimental information available on proton-proton and antiproton-proton scattering in the c.m energy interval 5 GeV -8 TeV. Generalizing previous works, we discuss four model-independent analytical parameterizations for X, consisting of sigmoid functions composed with elementary functions of the energy and three distinct asymptotic scenarios: either the standard black disk limit or scenarios above or below that limit. Our two main conclusions are the following: (1) although consistent with the experimental data, the black disk does not represent an unique solution; (2) the data reductions favor a semi-transparent scenario, with asymptotic average value for the ratioX = 0.30 ± 0.12. In this case, within the uncertainty, the asymptotic regime may already be reached around 1000 TeV. We present a comparative study of the two scenarios, including predictions for the inelastic channel (diffraction dissociation) and the ratio associated with the total cross-section and the elastic slope. Details on the selection of our empirical ansatz for X and physical aspects related to a change of curvature in this quantity at 80 -100 GeV, indicating the beginning of a saturation effect, are also presented and discussed.

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“…For the TOTEM experiment, the value for B(s) at LHC7 corresponds to the measurement in the interval 0.02 < |t| < 0.33 GeV −2 [283]. There are general considerations which relate the asymptotic behaviour of B(s) to that of the total cross section, in particular one can derive the asymptotic relation, so called MacDowell and Martin bound [284], discussed recently in [285], given as…”

Section: About the Slope Parametermentioning

confidence: 99%

“…Figure is courtesy of Olga Shekhovtsova dent mass m 0 (s) for the gluon is introduced to regulate the low-p t divergence in the mini-jet like eikonal functions. Recently, the group from Campinas has been concerned with the slope and the total and elastic cross sections [285,301].…”

Section: The Aspen Modelmentioning

confidence: 99%

Introduction to the physics of the total cross section at LHC

Pancheri

Srivastava

2017

Eur. Phys. J. C

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This review describes the development of the physics of hadronic cross sections up to recent LHC results and cosmic ray experiments. We present here a comprehensive review -written with a historical perspective -about total cross sections from medium to the highest energies explored experimentally and studied through a variety of methods and theoretical models for over 60 years. We begin by recalling the analytic properties of the elastic amplitude and the theorems about the asymptotic behavior of the total cross section. A discussion of how proton-proton cross sections are extracted from cosmic rays at higher than accelerator energies and help the study of these asymptotic limits, is presented. This is followed by a description of the advent of particle colliders, through which high energies and unmatched experimental precisions have been attained. Thus the measured hadronic elastic and total cross sections have become crucial instruments to probe the so called soft part of QCD physics, where quarks and gluons are confined, and have led to test and refine Regge behavior and a number of diffractive models. As the c.m. energy increases, the total cross section also probes the transition into hard scattering describable with perturbative QCD, the so-called mini-jet region. Further tests are provided by cross section measurements of γ p, γ * p and γ * γ * for models based on vector meson dominance, scaling limits of virtual photons at high Q 2 and the BFKL formalism. Models interpolating from virtual to real photons are also tested.

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

Cited by 33 publications

References 34 publications

Can Froissart bound explain hadron cross-sections at high energies?

Can Froissart bound explain hadron cross-sections at high energies?

Exploring central opacity and asymptotic scenarios in elastic hadron scattering

Introduction to the physics of the total cross section at LHC

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