Elastic Scattering and Total Cross Section At Very High Energies

Castaldi, R.; Sanguinetti, G.

doi:10.1146/annurev.ns.35.120185.002031

Cited by 73 publications

(39 citation statements)

References 21 publications

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“…We have selected the data above the region of Coulomb-nuclear interference and below the "break" in the hadronic slope at the diffraction peak (localized at |t| ∼ 0.2 GeV 2 at the ISR and Collider energies), namely 0.01 < |t| < 0.20 GeV 2 . In this region, the differential cross section data are well fitted by a single exponential and therefore there is no change in the slope associated with the t-dependence, but only with the energy [5]. pbarp pp Figure 1.…”

Section: Experimental Data and Parametrizationsmentioning

confidence: 92%

“…1 shows the experimental data on σ tot (s) and B(s) at the same energy, for pp and pp elastic scattering, from ac-celerator experiments and above √ s = 10 GeV [4,5]. We have selected the data above the region of Coulomb-nuclear interference and below the "break" in the hadronic slope at the diffraction peak (localized at |t| ∼ 0.2 GeV 2 at the ISR and Collider energies), namely 0.01 < |t| < 0.20 GeV 2 .…”

Section: Experimental Data and Parametrizationsmentioning

confidence: 99%

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Correlations between total cross sections and slopes

Martini¹,

Menon²,

Montanha³

2004

Braz. J. Phys.

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We investigate correlations between the total cross section and the slope of the elastic differential cross section for proton-proton and antiproton-proton scattering at the highest energies. Based on the empirical behavior of these quantities as function of the energy, we select two different analytical parametrizations connecting them, and obtain the correlations through fits to the experimental data available. We present and discuss practical uses of extrapolations and interpolations of the results. In the former case we refer to the estimation of the proton-proton total cross sections from the proton-air cross sections (obtained from cosmic-ray experiments), and in the later case, we critically discuss the recent measurement of the slope parameter at the BNL RHIC at 200 GeV by the pp2pp Collaboration.

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Section: Experimental Data and Parametrizationsmentioning

confidence: 92%

Section: Experimental Data and Parametrizationsmentioning

confidence: 99%

Correlations between total cross sections and slopes

Martini¹,

Menon²,

Montanha³

2004

Braz. J. Phys.

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“…It is well known [68][69][70] that the impact-parameter amplitude satisfies the unitarity constraint |a (hh) (s, z ⊥ ) + 1| ≤ 1, ∀ z ⊥ . Therefore, if the description of the scattering process in terms of dipoles, that we are using in this work, is to lead to physically meaningful results, then the normalised Wilson-loop correlator in Minkowski space has to satisfy the following unitarity constraint (at least in the large-χ limit),…”

Section: Elastic Scattering Amplitude and Total Cross Sectionmentioning

confidence: 99%

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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“…Interaction point distributions in the transverse with the exponential form Aebt, with A = L% It=o; an plane at z = 0 for (a) &=546 and (b) ,/5=1800 GeV, in exponential t dependence is expected for a nucleon denunits of the reconstruction errors m2(,) (E 350 pm). The sity with Gaussian distribution [6]. This fit functional circle indicates the vertex cut.…”

Section: Data Fittingmentioning

confidence: 99%