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Related papers: The Balitsky-Kovchegov equation for dipole gluon d…

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In this work, we analyze the evolution of four vortex configurations, namely, dipole, plasma, cluster, and lattice, using the two-dimensional mean-field Gross-Pitaevskii equation, focusing on their dynamical decay and approach to the…

Quantum Gases · Physics 2025-12-02 Shawan K. Jha , Makoto Tsubota , Pankaj K. Mishra

It is shown by numerical calculations that the convoluted QCD pomeron propagator in the external field created by a solution of the Balitsky-Kovchegov equation in the nuclear matter vanishes at high rapidities. This may open a possibility…

High Energy Physics - Phenomenology · Physics 2015-03-19 M. A. Braun , A. N. Tarasov

A simple derivation of the static Gross-Pitaevskii (GP) equation is given from an energy variational principle. The result is then generalized heuristically to the time-dependent GP form. With this as background, a number of different…

Soft Condensed Matter · Physics 2007-05-23 G. G. N. Angilella , S. Bartalini , F. S. Cataliotti , I. Herrera , N. H. March , R. Pucci

We present a novel analysis of the gluon gap equation, where its full nonlinear structure is duly taken into account. In particular, while in previous treatments the linearization of this homogeneous integral equation introduced an…

High Energy Physics - Phenomenology · Physics 2019-12-04 A. C. Aguilar , M. N. Ferreira , C. T. Figueiredo , J. Papavassiliou

The fundamental program in high energy spin physics focuses on the spin structure of the nucleon. The gluon and orbital angular momentum components of the nucleon spin are virtually unknown. The J_z=1/2 sum rule involves the integrated…

High Energy Physics - Phenomenology · Physics 2017-08-23 Gordon P. Ramsey

We apply a previously developed scheme to consistently include the improved saturation model for the unintegrated gluon distribution (UGD) in order to evaluate, in the framework of $k_{t}$ factorization, at small $x$ at the next-to-leading…

High Energy Physics - Phenomenology · Physics 2023-08-29 G. R. Boroun

This note is a physics manual for a recent numerical implementation of k_t-factorization with running-coupling BK unintegrated gluon distributions. We also compile some results for Pb+Pb collisions at \sqrt{s} = 2.75 TeV, such as…

High Energy Physics - Phenomenology · Physics 2015-03-17 Javier L. Albacete , Adrian Dumitru

We derive equations of motion for the dynamics of anisotropic particles directly from the dissipative Vlasov kinetic equations, with the dissipation given by the double bracket approach (Double Bracket Vlasov, or DBV). The moments of the…

Adaptation and Self-Organizing Systems · Physics 2010-04-26 Darryl D. Holm , Vakhtang Putkaradze , Cesare Tronci

In this paper, we analyze the dynamics of an $N$ particles system evolving according the gradient flow of an energy functional. The particle system is a consistent approximation of the Lagrangian formulation of a one parameter family of…

Dynamical Systems · Mathematics 2013-01-31 V. Calvez , L. Corrias

The relativistic heavy ion program developed at RHIC and now at LHC motivated a deeper study of the properties of the quark gluon plasma (QGP) and, in particular, the study of perturbations in this kind of plasma. We are interested on the…

High Energy Physics - Phenomenology · Physics 2013-04-25 D. A. Fogaça , F. S. Navarra , L. G. Ferreira Filho

In this paper we discuss the multiplicity distribution in the deep inelastic processes in the frame work of high energy QCD. We obtained three results. First, we get the new derivation of the equations for the cross sections of productions…

High Energy Physics - Phenomenology · Physics 2026-03-24 Carlos Contreras , Jose Garrido , Eugene Levin

We investigate the recently proposed nonlinear equation for the unintegrated gluon distribution function which includes the subleading effects at small $x$. We obtained numerically the solution to this equation in $(x,k)$ space, and also…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Kutak , A. M. Stasto

The polarization dependence of the electromagnetic vertex for polarized proton is discussed. Such a dependence is shown to be a result of gluon polarization and gluon interactions with the constituents within proton. One more form factor is…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. B. Yang , X. Cai

Onium-onium scattering at high energy is used to illustrate a dipole picture of high energy hard scattering in the large $N_c$ limit. Single and double BFKL pomeron exchanges are calculated in the leading logarithmic approximation. An…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. H. Mueller , Bimal Patel

We suggest a modified form of a unitarized BFKL equation imposing the so-called kinematic constraint on the gluon evolution in multi-Regge kinematics. The underlying nonlinear effects on the gluon evolution are investigated by solving the…

High Energy Physics - Phenomenology · Physics 2019-06-14 P. Phukan , M. Lalung , J. K. Sarma

One key issue in the probability density function (PDF) approach for disperse two-phase turbulent flows is to close the diffusion term in the phase space. This study aimed to derive a kinetic equation for particle dispersion in turbulent…

Statistical Mechanics · Physics 2020-07-15 De-yu Zhong , Guang-qian Wang , Tie-jian Li , Ming-xi Zhang , You Xia

We introduce a general model which augments the one-dimensional nonlinear Schr\"{o}dinger (NLS) equation by nonlinear-diffraction terms competing with the linear diffraction. The new terms contain two irreducible parameters and admit a…

Mathematical Physics · Physics 2015-06-04 Y. Shen , P. G. Kevrekidis , N. Whitaker , Boris A. Malomed

We investigate the gluon distribution in a proton at very low $x$, both integrated and transverse momentum dependent, using the Laplace transform technique. By accounting for leading and main next-to-leading contributions, we derive compact…

High Energy Physics - Phenomenology · Physics 2026-05-22 G. R. Boroun , Phuoc Ha , A. V. Kotikov , A. V. Lipatov

We propose a modified version of the Balitsky-Kovchegov (B-K) evolution equation, which includes the main NLO corrections. We use the result that the main NLO corrections to the BFKL kernel are the LO DGLAP corrections. We present a…

High Energy Physics - Phenomenology · Physics 2014-11-18 E. Gotsman , E. Levin , U. Maor , E. Naftali

We derive the mean field kinetic equation for the momentum distribution of Bogoliubov excitations (bogolons) in a spatially uniform Bose-Einstein condensate (BEC), with a focus on the collision integrals. We use the method of Peletminksii…

Quantum Gases · Physics 2012-02-16 Erich D. Gust , L. E. Reichl