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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

We show that the Iancu-Mueller factorization has a simple interpretation in the Reggeon - like technique based on the BFKL Pomeron. The formula for calculating the high energy asymptotic behaviour for the colour dipole-dipole amplitude is…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Kozlov , E. Levin

The solution to the Balitsky-Kovchegov equation is found in the deep saturation domain. The controversy between different approaches regarding the asymptotic behaviour of the scattering amplitude is solved. It is shown that the dipole…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. Kozlov , E. 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

We reproduce the DIS measurements of the proton structure function at high energy from the dipole model in momentum space. To model the dipole-proton forward scattering amplitude, we use the knowledge of asymptotic solutions of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. T. de Santana Amaral , M. A. Betemps , M. B. Gay Ducati , G. Soyez

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

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 propose recurrence relations for the dipole densities in QCD, which allows us to find these densities from the solution to the BFKL equation. We resolve these relations in the diffusion approximation for the BFKL kernel.…

High Energy Physics - Phenomenology · Physics 2023-03-29 Eugene Levin

Utilizing the most recent experimental data, we reanalyze high energy \pbar p and pp data, using the asymptotic amplitude analysis, under the assumption that we have reached `asymptopia'. This analysis gives strong evidence for a $\log…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. M. Block , A. R. White , B. Margolis

High energy scattering is considered within the framework of the QCD dipole model formulated as a classical branching process. Starting from Mueller's generating functional we derive the high energy evolution law for the scattering…

High Energy Physics - Phenomenology · Physics 2009-11-10 Eugene Levin , Michael Lublinsky

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

The forward scattering amplitude of a small dipole at high energies is given in the mean field approximation by the Balitsky-Kovchegov (BK) evolution equation. It requires an initial condition $N(r; x_0)$ describing the scattering of a…

High Energy Physics - Phenomenology · Physics 2023-06-27 Adrian Dumitru , Heikki Mäntysaari , Risto Paatelainen

In this paper the problem of high-energy hadron-hadron (dipole-dipole) scattering is approached (for the first time) from the point of view of lattice QCD, by means of Monte Carlo numerical simulations. In the first part, we give a brief…

High Energy Physics - Lattice · Physics 2010-05-12 M. Giordano , E. Meggiolaro

Utilizing the most recent experimental data, we reanalyze high energy \pbar p and pp data, using two distinct (and {\em dissimilar}) analysis techniques: (1) asymptotic amplitude analysis, under the assumption that we have reached…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. M. Block , F. Halzen , B. Margolis , A. R. White

The asymptotic behavior of the elastic scattering amplitude by the exchange of graviton between two scalar particles at high energies and fixed momentum transfers is reconsidered in the Logunov-Tavkhelidze equation in the linearized…

High Energy Physics - Theory · Physics 2020-02-18 Do Thu Ha

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

The asymptotic behavior of the scattering amplitude for two scalar particles at high energies with fixed momentum transfers is studied. The study is done within the effective theory of quantum gravity based on quasi-potential equation. By…

High Energy Physics - Theory · Physics 2019-10-23 Nguyen Suan Han , Do Thu Ha , Nguyen Nhu Xuan

In this work we present dipole scattering amplitudes, including the dependence on the impact-parameter, for a variety of nuclear targets of interest for the electron-ion colliders (EICs) being currently designed. These amplitudes are…

High Energy Physics - Phenomenology · Physics 2020-10-21 J. Cepila , J. G. Contreras , M. Matas

We obtain an explicit formula for the diagonal singularities of the scattering amplitude for the Dirac equation with short-range electromagnetic potentials. Using this expansion we uniquely reconstruct an electric potential and magnetic…

Mathematical Physics · Physics 2016-03-31 Ivan Naumkin , Ricardo Weder

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
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