Nonlinear evolution and saturation for heavy nuclei in DIS

Abstract

The nonlinear evolution equation for the scattering amplitude of colour dipole off the heavy nucleus is solved in the double logarithmic approximation. It is found that if the initial parton density in a nucleus is smaller then some critical value, then the scattering amplitude is a function of one scaling variable inside the saturation region, whereas if it is greater then the critical value, then the scaling behaviour breaks down. Dependence of the saturation scale on the number of nucleons is discussed as well.

12 pages, 1 figure

Cited by in corpus (81)

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• Geometric Scaling above the Saturation Scale
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• Parton saturation and N_part scaling of semi--hard processes in QCD
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• On solutions of the Balitsky-Kovchegov equation with impact parameter
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• A Langevin equation for high energy evolution with pomeron loops
• Diffusion into infra-red and unitarization of the BFKL pomeron
• Numerical analysis of the Balitsky-Kovchegov equation with running coupling: dependence of the saturation scale on nuclear size and rapidity
• Extension of the JIMWLK Equation in the Low Gluon Density Region
• Nonlinear QCD Evolution: Saturation without Unitarization
• Nonlinear evolution in high-density QCD
• Froissart Bound from Gluon Saturation
• Non linear gluon evolution in path-integral form
• Jet Azimuthal Correlations and Parton Saturation in the Color Glass Condensate
• No Froissart Bound from Gluon Saturation
• A Gaussian effective theory for gluon saturation
• Perturbative Saturation and the Soft Pomeron
• Signatures of the Color Glass Condensate in J/Psi production off nuclear targets
• Cronin effect and high-p_T suppression in the nuclear gluon distribution at small x
• Open charm production in heavy ion collisions and the Color Glass Condensate
• Heavy quark production by a quasi-classical color field in proton-nucleus collisions
• Summing Pomeron loops in the dipole approach
• Elliptic Flow from Minijet Production in Heavy Ion Collisions
• Geometric scaling and QCD evolution
• Geometric Scaling in Inclusive Charm Production
• A QCD dipole formalism for forward-gluon production
• Towards a New Global QCD Analysis: Solution to the Non-Linear Equation at Arbitrary Impact Parameter
• Solution for the BFKL Pomeron Calculus in zero transverse dimensions
• Glauber - Gribov approach for DIS on nuclei in N=4 SYM
• The BFKL Pomeron Calculus in zero transverse dimensions: summation of Pomeron loops and generating functional for the multiparticle production processes
• The Balitsky-Kovchegov equation in full momentum space
• Forward gluon production in hadron-hadron scattering with Pomeron loops
• High energy amplitude in the dipole approach with Pomeron loops: asymptotic solution
• The Iancu-Mueller factorization and high energy asymptotic behaviour
• QCD Saturation in the Semi-classical Approach
• Diffractive dissociation from non-linear evolution in DIS on nuclei
• Diffractive charmonium spectrum in high energy collisions in the basis light-front quantization approach
• Conformal invariant saturation
• Nuclear Heavy Quark Photoproduction in a Saturation Model
• A modified Balitsky-Kovchegov equation
• The Yin and Yang of High Energy Chromodynamics: Scattering in Black and White
• CGC/saturation approach: a new impact-parameter dependent model in the next-to-leading order of perturbative QCD
• Saturation at Hadron Colliders
• Pomeron fan diagrams with an infrared cutoff and running coupling
• The BFKL Pomeron Calculus in the dipole approach
• CGC/saturation approach: a new impact-parameter dependent model
• Saturation and geometric scaling in DIS at small x
• Non-linear equation: energy conservation and impact parameter dependence
• QCD Odderon: non linear evolution in the leading twist
• Universal geometrical scaling for hadronic interactions
• Heavy quarkonia production at LHC and EIC using Basis Light-Front Quantization wavefunctions
• BFKL Pomeron: modeling confinement
• Unitarity bound for gluon shadowing
• Thermal radiation and inclusive production in the KLN model for ion-ion collisions
• Thermal radiation and inclusive production in the CGC/saturation approach at high energies
• Solution to the Balitsky-Kovchegov equation in the saturation domain
• Saturation and forward jets at HERA
• Non linear evolution: revisiting the solution in the saturation region
• Novel Cross Section Ratios as Possible Signals of Saturation in UPCs
• Geometric scaling behavior of the scattering amplitude for DIS with nuclei
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• Non-linear evolution in the re-summed next-to-leading order of perturbative QCD:\confronting the experimental data
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• Heavy quark production from Color Glass Condensate at RHIC
• Energy evolution of J/$\psi$ production in DIS on nuclei
• High density QCD and nucleus-nucleus scattering deeply in the saturation region
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• Homotopy solution to non-linear evolution for heavy nuclei
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• CGC and saturation approach: Impact-parameter dependent model of perturbative QCD and combined HERA data
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• Violation of geometric scaling in DIS due to Coulomb corrections
• Charmonium spectrum and diffractive production in a light-front Hamiltonian approach
• Homotopy approach for scattering amplitude for running QCD coupling
• Properties of inclusive hadron production in Deep Inelastic Scattering on heavy nuclei at low x
• Multiplicity distributions in DIS for heavy nucleus