Predictions on the total cross section and real part at LHC and SSC

Augier, C.; Bourotte, J.; Bozzo, M.; Bueno, A.; Cases, R.; Djama, F.; Haguenauer, M.; Kundrát, V.; Lokajíček, M.; Matthiae, G.; Morelli, Alessandro; Natali, F.; Němeček, S.; Novák, M.; Sanchís, E.; Sette, G.; Smižanskác, M.; Velasco, J.

doi:10.1016/0370-2693(93)91647-6

Cited by 52 publications

(62 citation statements)

References 14 publications

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“…It is expected that such a general formalism, avoiding details of the interaction or dynamics, could be a suitable tool in the search for adequate calculational schemes in nonperturbative QCD. The analytic models have a long history and important results have been obtained through both integral relations [5], for example [6,7,8,9], and derivative (analyticity) relations [10,11,12], for example [12,13,14]. Recently, much effort has been concentrated in the COMPETE Collaboration (COmputerized Models, Parameter Evaluation for Theory and Experiment), which joined the COMPAS group and others specialists also with outstanding contributions in the area.…”

Section: Introductionmentioning

confidence: 99%

“…Although the subtraction constant works as a fit parameter in traditional analysis [6,7,8,9], it does not appear in the approach by the COMPETE Collaboration, since the derivative relation or prescription used does not involve subtraction constant. Once the analytical approach demands fits to experimental data and the free parameters involved are all correlated, it is expected that the presence or not of the subtraction constant may lead to different results.…”

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confidence: 99%

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

2003

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Analytic models for hadron-hadron scattering are characterized by simple analytical parametrizations for the forward amplitudes and the use of dispersion relation techniques to study the total cross section σtot and the ρ parameter (the ratio between the real and imaginary parts of the forward amplitude). In this paper we investigate simultaneously four aspects related to the application of the model to pp andpp scattering, from accelerator to cosmic-ray energies: (1) the effect of different estimations for σtot from cosmic-ray experiments; (2) the differences between individual and global (simultaneous) fits to σtot and ρ; (3) the role of the subtraction constant in the dispersion relations; (4) the effect of distinct asymptotic inputs from different analytic models. This is done by using as a framework the single Pomeron and the maximal Odderon parametrizations for the total cross section. Our main conclusions are the following: (1) Despite the small influence from different cosmic-ray estimations, the results allow us to extract an upper bound for the soft Pomeron intercept: 1 + ǫ = 1.094; (2) although global fits present good statistical results, in general, this procedure constraints the rise of σtot; (3) the subtraction constant as a free parameter affects the fit results at both low and high energies; (4) independently of the cosmic-ray information used and the subtraction constant, global fits with the Odderon parametrization predict that, above √ s ≈ 70GeV, ρpp(s) becomes greater than ρpp(s), and this result is in complete agreement with all the data presently available. In particular, we infer ρpp = 0.134 ± 0.005 at √ s = 200 GeV and 0.151 ± 0.007 at 500 GeV (BNL RHIC energies). A detailed discussion of the procedures used and all the results obtained is also presented.

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%

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

2003

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“…Here, N el and N inel are the numbers of elastic and inelastic events, and ρ = 0.10 ± 0.01 is the ratio between the real and imaginary parts of the forward scattering amplitude [126]. 7 The difficult aspect of this measurement is obtaining a good extrapolation of the cross section for low momentum transfer.…”

Section: Measurements Of Forward Processes At the Lhcmentioning

confidence: 99%

High energy physics in the atmosphere: phenomenology of cosmic ray air showers

et al. 2004

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The properties of cosmic rays with energies above 10 6 GeV have to be deduced from the spacetime structure and particle content of the air showers which they initiate. In this review we summarize the phenomenology of these giant air showers. We describe the hadronic interaction models used to extrapolate results from collider data to ultra high energies, and discuss the prospects for insights into forward physics at the LHC. We also describe the main electromagnetic processes that govern the longitudinal shower evolution, as well as the lateral spread of particles. Armed with these two principal shower ingredients and motivation from the underlying physics, we provide an overview of some of the different methods proposed to distinguish primary species. The properties of neutrino interactions and the potential of forthcoming experiments to isolate deeply penetrating showers from baryonic cascades are also discussed. We finally venture into a terra incognita endowed with TeV-scale gravity and explore anomalous neutrino-induced showers.

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“…We show how the behavior of dσ/dt in different ranges of |t| relates with the three regions inside the nucleon. The parameters in our model are determined such that the highenergy asymptotic behavior of σ tot (s) and ρ(s) based on dispersion relation [14] and the measured elasticpp differential cross section at √ s = 546 GeV [2] are satisfactorily described. General asymptotic requirements of the diffraction amplitude are shown to be satisfied by our phenomenological diffraction amplitude.…”

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confidence: 99%

“…As mentioned earlier, we determine these parameters by requiring that they satisfactorily describe the high energy asymptotic behavior of σ tot (s) and ρ(s) given by dispersion relation calculations [14] and the experimentalpp elastic differential cross section at √ s = 546 GeV [2]. [14] from dispersion relation calculations [19].…”

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confidence: 99%

pp Elastic Scattering at LHC and Nucleon Structure

Islam

Luddy

Prokudin

2004

AIP Conference Proceedings

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High energy elastic pp scattering at the Large Hadron Collider (LHC) at c.m. energy 14 TeV is predicted using the asymptotic behavior of σ tot (s) and ρ(s) known from dispersion relation calculations and the measured elasticpp differential cross section at √ s = 546GeV. The effective field theory model underlying the phenomenological analysis describes the nucleon as having an outer cloud of quark-antiquark condensed ground state, an inner core of topological baryonic charge of radius ≃ 0.44F and a still smaller valence quark-bag of radius 0.1 F. The LHC experiment TOTEM (Total and Elastic Measurement), if carried out with sufficient precision from |t| = 0 to |t| > 10 GeV 2 , will be able to test this structure of the nucleon. . Soft diffractive processes mediated by Pomerons including high-mass diffractive dissciation have also been proposed to describe elastic scattering at LHC for small |t| 0.5 GeV 2 [11]. Study of the field theory model further indicates that the nucleon has an outer cloud of quark-antiquark condensed ground state analogous to a superconducting state, an inner core of topological baryonic charge and a still smaller quark-bag of valence quarks. The elastic scattering experiment TOTEM at LHC [12], if carried out with sufficient precision, will be able to identify these three regions inside the nucleon by their characteristic behaviors reflected in the elastic differential cross section. The present investigation reports our quantitative prediction of dσ/dt at LHC at √ s = 14 TeV.

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Predictions on the total cross section and real part at LHC and SSC

Cited by 52 publications

References 14 publications

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

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

High energy physics in the atmosphere: phenomenology of cosmic ray air showers

pp Elastic Scattering at LHC and Nucleon Structure

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