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Related papers: Nuclear size and rapidity dependence of the satura…

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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…

High Energy Physics - Phenomenology · Physics 2025-12-12 J. Cepila , J. G. Contreras , M. Matas , M. Vaculciak

Nonlinear evolution equation at small x with impact parameter dependence is analyzed numerically. Saturation scales and the radius of expansion in impact parameter are extracted as functions of rapidity. Running coupling is included in this…

High Energy Physics - Phenomenology · Physics 2015-03-17 Jeffrey Berger , Anna Stasto

We study BFKL evolution and, in particular, the energy dependence of the saturation momentum in the presence of saturation boundaries limiting the region of linear BFKL evolution. In the case of fixed coupling evolution we confirm the…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. H. Mueller , D. N. Triantafyllopoulos

Recently Munier and Peschanski presented an analysis of the Balitsky--Kovchegov (BK) equation concerning the extraction of the saturation scale, using a simpler equation. We numerically analyze the full BK equation confirming the…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Golec-Biernat

We study the energy dependence of the total and diffractive neutrino-nucleon and neutrino-nucleus cross sections at very high energies. The calculation employs the QCD dipole model and the small-$x$ nonlinear Balitsky-Kovchegov evolution.…

High Energy Physics - Phenomenology · Physics 2024-10-02 Anh Dung Le , Heikki Mäntyssari

Within the Color Glass Condensate effective field theory, we assess the importance of including a finite size for the target on observables sensitive to small-$x$ evolution. To this end, we study the Balitsky-Kovchegov (BK) equation with…

High Energy Physics - Phenomenology · Physics 2025-04-03 Heikki Mäntysaari , Jani Penttala , Farid Salazar , Björn Schenke

A variational lattice model is proposed to define an evolution of sets from a single point (nucleation) following a criterion of "maximization" of the perimeter. At a discrete level, the evolution has a "checkerboard" structure and its…

Analysis of PDEs · Mathematics 2021-10-27 Andrea Braides , Giovanni Scilla , Antonio Tribuzio

It is shown that in ultrahigh energy inelastic neutrino-nucleon(nucleus) scattering the cross sections for the boson-hadron(nucleus) reactions should exhibit geometric scaling on the single variable tau_A =Q2/Q2_{sat,A}. The dependence on…

High Energy Physics - Phenomenology · Physics 2009-11-11 Magno V. T. Machado

Darwin-Foldy nuclear-size corrections in electronic atoms and nuclear radii are discussed from the nuclear-physics perspective. Interpretation of precise isotope-shift measurements is formalism dependent, and care must be exercised in…

Nuclear Theory · Physics 2008-11-26 J. L. Friar , J. Martorell , D. W. L. Sprung

The inclusion of running coupling effects in the BK-JIMWLK evolution equations considerably reduces the energy dependence of the saturation scale with respect to previous estimates based on fits to HERA data. We discuss how such slowdown…

High Energy Physics - Phenomenology · Physics 2008-11-26 Javier L. Albacete

The correlation between neutron skin-thickness of a neutron-rich nucleus and slope parameter of symmetry energy is assessed as a function of density using relativistic mean field models containing non-linear couplings among different…

Nuclear Theory · Physics 2022-04-06 Chiranjib Mondal

The universal traveling wave solution to the Balitsky-Kovchegov equation with running coupling (and other equations in the same universality class) is extended to subleading orders at large rapidity and small dipole size $r$. The large…

High Energy Physics - Phenomenology · Physics 2010-08-04 Guillaume Beuf

We derive a simple analytical scaling function which embodies the predictions of high density QCD on the energy, centrality, rapidity, and atomic number dependences of hadron multiplicities in nuclear collisions. Both centrality and…

Nuclear Theory · Physics 2008-11-26 D. Kharzeev , E. Levin

Limiting fragmentation in proton-proton, deuteron-nucleus and nucleus-nucleus collisions is analyzed in the framework of the Balitsky-Kovchegov equation in high energy QCD. Good agreement with experimental data is obtained for a wide range…

High Energy Physics - Phenomenology · Physics 2008-11-26 Francois Gelis , Anna M. Stasto , Raju Venugopalan

Gluon distributions of colliding hadrons saturate as a result of the non-linear evolution equations of QCD. As a consequence there exists the so called saturation momentum, which is related to the gluon density per unit rapidity per…

High Energy Physics - Phenomenology · Physics 2016-05-20 Michal Praszalowicz

Recent progress in understanding general properties of high energy scattering near the unitarity limit, where high density gluon components of the wavefunction are dominant, is reviewed. The similarity of the QCD problem and that of…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. H. Mueller

We solve the CCFM equation numerically in the presence of a boundary condition which effectively incorporates the non-linear dynamics. We retain the full dependence of the unintegrated gluon distribution on the coherence scale, and extract…

High Energy Physics - Phenomenology · Physics 2014-11-21 Emil Avsar , Anna M. Stasto

A new type of approximate scaling compatible with the Balitsky-Kovchegov equation with running coupling is found, which is different from the previously known running coupling geometric scaling. The corresponding asymptotic traveling wave…

High Energy Physics - Phenomenology · Physics 2008-03-17 Guillaume Beuf

At least three length scales are important in gaining a complete understanding of the physics of nuclei. These are the radius of the nucleus, the average inter-nucleon separation distance, and the size of the nucleon. The connections…

Nuclear Theory · Physics 2020-12-30 Gerald A. Miller

Deep inelastic scattering at small x can be described very effectively using saturation inspired dipole models. We investigate whether such models are compatible with the numerical solutions of the Balitsky-Kovchegov (BK) equation which is…

High Energy Physics - Phenomenology · Physics 2007-06-13 Daniel Boer , Andre Utermann , Erik Wessels