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Related papers: Dipole-dipole scattering amplitude in CGC approach

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In this paper we show that the sum of enhanced BFKL Pomeron loop diagrams generates the scattering amplitude, which turns out to be much smaller, than in the case of deep inelastic scattering. We use the simplified BFKL kernel in the…

High Energy Physics - Phenomenology · Physics 2024-03-18 Eugene Levin

In this paper we demonstrate that the dense system of partons (gluons) can be produced in dilute-dilute system scattering, using the example of dipole-dipole collisions. This increase in density stems from the intensive gluon cascades that…

High Energy Physics - Phenomenology · Physics 2015-06-17 Eugene Levin

This is the talk given at ``Gribov-75 Memorial Workshop on Quarks, Hadrons, and Strong Interactions", May 22-24, 2005, Budapest. Hungary. In this talk we discuss the BFKL Pomeron Calculus and its interrelation with thecolour dipole…

High Energy Physics - Phenomenology · Physics 2017-08-23 Eugene Levin

In this paper we continue to pursue a goal of finding the effective theory for high energy interaction in QCD based on the colour dipole approach, for which the BFKL Pomeron Calculus gives a low energy limit. The two key problems, that we…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. ~Kozlov , E. ~Levin , A. ~Prygarin

In this paper we found the dipole-nucleus scattering amplitude at high energies by summing large Pomeron loops. It turns out that the energy dependence of this amplitude is the same as for dipole-dipole scattering. It means that the…

High Energy Physics - Phenomenology · Physics 2025-04-14 Eugene Levin

It is shown in this paper that the QCD equations for dipole density have the natural solution: the 'fan' diagrams of the Pomeron calculus. We found the dipole densities comparing the analytic solution to the Balitsky-Kovchegov (BK) equation…

High Energy Physics - Phenomenology · Physics 2026-02-04 Eugene Levin

A dipole-dipole scattering amplitude is calculated exactly in the first two orders of perturbation theory. This amplitude is an analytic function of the relative energy and the dipoles' sizes. The cross section of the dipole-dipole…

High Energy Physics - Phenomenology · Physics 2014-11-17 Alexander Babansky , Ian Balitsky

We compute the onium-onium scattering amplitude at fixed impact parameter in the framework of the perturbative QCD dipole model. Relying on the conformal properties of the dipole cascade and of the elementary dipole-dipole scattering…

High Energy Physics - Phenomenology · Physics 2016-11-03 S. Wallon

In this paper we found the parton densities at high energies. Their expressions stems from our attempts to reconcile the exact solution to the Balitsky-Kovchegov (BK) equation, which describes the rare fluctuation in the dipole-target…

High Energy Physics - Phenomenology · Physics 2024-09-04 Eugene Levin

We compute the onium-onium scattering amplitude at fixed impact parameter in the framework of the perturbative QCD dipole model. Relying on conformal properties of the dipole cascade and of the elementary dipole-dipole scattering amplitude,…

High Energy Physics - Phenomenology · Physics 2009-10-30 H. Navelet , S. Wallon

In this paper we found the nucleus-nucleus scattering amplitude at high energies by summing large Pomeron loops. It turns out that the energy dependence of this amplitude is the same for dipole-dipole scattering. This happens since the…

High Energy Physics - Phenomenology · Physics 2025-06-11 Eugene Levin

In this paper we argue that in the kinematic range given by $ 1 \ll \ln(1/\as^2) \ll \as Y \ll \frac{1}{\as}$, we can reduce the Pomeron calculus to the exchange of non-interacting Pomerons with the renormalized amplitude of their…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Levin , J. Miller , and A. Prygarin

A dipole picture of high energy scattering is developed in the 2+1 dimensional QCD, following Mueller. A generalized integral equation for the dipole density with a given separation and center of mass position is derived, and meson-meson…

High Energy Physics - Phenomenology · Physics 2016-08-24 Miao Li , Chung-I Tan

We briefly review the approach to dipole-dipole scattering in holographic QCD developed in ARXIV:1202.0831. The Pomeron is modeled by exchanging closed strings between the dipoles and yields Regge behavior for the elastic amplitude. We…

High Energy Physics - Phenomenology · Physics 2013-05-01 Alexander Stoffers , Ismail Zahed

In this paper the exact analytical solution is found for the BFKL Pomeron calculus in zero transverse dimensions, in which all Pomeron loops have been included. The comparison with the approximate methods of the solution is given, and the…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Kozlov , E. Levin

We study the high energy behaviour of elastic scattering amplitudes within the leading logarithm approximation. In particular, we cast the amplitude in a form which allows us to study the internal dynamics of the BFKL Pomeron for general…

High Energy Physics - Phenomenology · Physics 2015-06-25 J. R. Forshaw , P. J. Sutton

In this paper an analytical solution for the high energy scattering amplitude is suggested. This solution has several unexpected features:(i) the asymptotic amplitude is a function of dipole sizes and, therefore, this amplitude shows the…

High Energy Physics - Phenomenology · Physics 2010-04-05 E. Levin

We propose a stochastic particle model in (1+1)-dimensions, with one dimension corresponding to rapidity and the other one to the transverse size of a dipole in QCD, which mimics high-energy evolution and scattering in QCD in the presence…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Iancu , J. T. de Santana Amaral , G. Soyez , D. N. Triantafyllopoulos

In this paper we continue to pursue a goal of finding an effective theory for high energy interaction in QCD based on the colour dipole approach, for which the BFKL Pomeron Calculus gives a low energy limit. The key problem, that we try to…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Kozlov , E. Levin , A. Prygarin

In a previous publication, we have constructed a set of non-linear evolution equations for dipole scattering amplitudes in QCD at high energy, which extends the Balitsky-JIMWLK hierarchy by including the effects of fluctuations in the gluon…

High Energy Physics - Phenomenology · Physics 2011-01-25 E. Iancu , D. N. Triantafyllopoulos
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