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Building on the newly available solution of the Balitsky-Kovchegov (BK) equation with the full impact-parameter dependence, we extend the study of parton evolution from proton to nuclear targets. Since a key part of the scientific programme…

高能物理 - 唯象学 · 物理学 2026-05-11 J. Cepila , M. Matas , M. Vaculciak

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…

高能物理 - 唯象学 · 物理学 2020-10-21 J. Cepila , J. G. Contreras , M. Matas

Using a momentum space model for the dipole scattering amplitude we present an analysis of the saturation effects at LHC energies, describing the data on proton-proton and proton-lead collisions. The model is based on the asymptotic…

高能物理 - 唯象学 · 物理学 2015-06-12 E. A. F. Basso , M. B. Gay Ducati , E. G. de Oliveira

A stable numerical solution of the impact-parameter-dependent next-to-leading order Balitsky-Kovchegov equation is presented for the first time. The rapidity evolution of the dipole amplitude is discussed in detail. Dipole amplitude…

高能物理 - 唯象学 · 物理学 2025-12-12 J. Cepila , J. G. Contreras , M. Matas , M. Vaculciak

This contribution presents the latest predictions for several QCD processes at low-x in the color dipole picture which are of interest for current hadron-hadron and future electron-hadron colliders. The predictions are derived using the…

高能物理 - 唯象学 · 物理学 2022-12-29 D. Bendova

Nonlinear QCD evolution equations are essential tools in understanding the saturation of partons at small Bjorken $x_{\rm B}$, as they are supposed to restore an upper bound of unitarity for the cross section of high energy scattering. In…

高能物理 - 唯象学 · 物理学 2021-03-16 Xiaopeng Wang , Yirui Yang , Wei Kou , Rong Wang , Xurong Chen

In the high-energy limit of QCD, scattering off nucleons and nuclei can be described in terms of Wilson-line correlators whose energy dependence is perturbative. The energy dependence of the two-point correlator, called the dipole…

高能物理 - 唯象学 · 物理学 2026-03-13 Meisen Gao , Zhong-Bo Kang , Jani Penttala , Ding Yu Shao

The Balitsky-Kovchegov (BK) equation offers a tractable description of the high-energy growth of gauge-theory scattering amplitudes and the nonlinear saturation effects that eventually tame it. Motivated by the upcoming Electron-Ion…

高能物理 - 唯象学 · 物理学 2026-01-05 Giacomo Brunello , Simon Caron-Huot , Giulio Crisanti , Mathieu Giroux , Sid Smith

In this paper, we present nuclear structure functions calculated from the impact-parameter dependent solution of the Balitsky-Kovchegov equation with our recently proposed set of nuclear initial conditions. We calculate the results with and…

高能物理 - 唯象学 · 物理学 2020-10-28 Jan Cepila , Marek Matas

We numerically analyze the Balitsky-Kovchegov equation with the full dependence on impact parameter b. We show that due to a particular b-dependence of the initial condition the amplitude decreases for large dipole sizes r. Thus the region…

高能物理 - 唯象学 · 物理学 2008-11-26 K. Golec--Biernat , A. M. Stasto

We study the impact parameter dependence of solutions to the Balitsky-Kovchegov (BK) equation. We argue that if the kernel of the BK integral equation is regulated to cutoff infrared singularities, then it can be approximated by an equation…

高能物理 - 唯象学 · 物理学 2009-11-10 T. Ikeda , L. McLerran

When computed to next-to-leading order in perturbative QCD, the non-linear Balitsky-Kovchegov (BK) equation for the high-energy evolution of the dipole-hadron scattering appears to be unstable. We show that this instability can be avoided…

高能物理 - 唯象学 · 物理学 2021-02-03 B. Ducloué , E. Iancu , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

To study scattering amplitudes at high-energy, the T-product of two currents can be expanded in terms of coefficient functions (impact factors) and matrix elements of ``composite color dipoles'' made of Wilson line operators with rapidity…

高能物理 - 唯象学 · 物理学 2010-11-19 Giovanni Antonio Chirilli

I present derivation the BK equation for the dipole gluon density in momentum space, starting from its standard formulation in coordinate space. I review the equation for both proton and nuclear targets, and I also discuss the resummed BK…

高能物理 - 唯象学 · 物理学 2026-02-13 Krzysztof Kutak

The next-to-leading order (NLO) Balitsky-Kovchegov (BK) equation describing the high-energy evolution of the scattering between a dilute projectile and a dense target suffers from instabilities unless it is supplemented by a proper…

高能物理 - 唯象学 · 物理学 2019-05-01 B. Ducloué , E. Iancu , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

The ongoing Run 3 at the Large Hadron Collider (LHC) is substantially increasing the luminosity delivered to the experiments during Run 1 and Run 2. The advent of the high-luminosity upgrade of the LHC (Run 4 to 6), as well as the…

高能物理 - 唯象学 · 物理学 2025-12-12 J. Cepila , J. G. Contreras , M. Vaculciak

The contribution of the different terms of the running-coupling Balistky-Kovchegov (rcBK) equation to the description of inclusive HERA data is discussed. Within this framework an alternative definition of the saturation scale is presented.…

高能物理 - 唯象学 · 物理学 2016-09-07 Jan Cepila , Jesús Guillermo Contreras

The solution to the BFKL equation grows like a power of center of mass energy, s, violating unitarity conditions at high energies. The growth of the cross section can be tamed by taking into account multiple pomeron exchanges. This is known…

高能物理 - 唯象学 · 物理学 2007-05-23 Emil Avsar

The solutions of the Balitsky-Kovchegov evolution equations are studied numerically and compared with known analytical estimations. The rapidity and nuclear size dependences of the saturation scale are obtained for the cases of fixed and…

高能物理 - 唯象学 · 物理学 2009-01-07 J. L. Albacete , N. Armesto , J. G. Milhano , C. A. Salgado , U. A. Wiedemann

We derived the BK equation for quark-quark scattering, extending the dipole-hadron scattering framework. This derivation reveals that the quark-quark scattering amplitude grows with increasing quark rapidity. Since the momentum dot product…

高能物理 - 唯象学 · 物理学 2024-12-10 Cong Li
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