Nucleus-nucleus interaction in the perurbative QCD

Abstract

Nucleus-nucleus interaction is studied in the framework of the perturbative QCD with large number of colours and a fixed coupling constant. The pomeron tree diagrams are summed by an effective field theory. The classical field equations are solved by iteration procedure, which is found convergent in a restricted domain of not too high energies and atomic numbers. The found gluon distributions do not scale, have their maxima close to 2 GeV/c independent of rapidity and fall towards the central rapidity region. The cross-sections slowly grow with energy due to the contribution from peripheral collisions, where evolution remains linear. Simple variational estimates at higher rapidities confirm this tendency.

10 pages, 11 figures

References in corpus (1)

• Parton densities and dipole cross-sections at small x in large nuclei

Cited by in corpus (57)

• The Ridge from the BFKL evolution and beyond
• A QCD motivated model for soft interactions at high energies
• Conformal invariant pomeron interaction in the perurbative QCD with large N_c
• Summing Pomeron loops in the dipole approach
• The BFKL Pomeron Calculus in zero transverse dimensions: summation of Pomeron loops and generating functional for the multiparticle production processes
• Reggeon Field Theory for Large Pomeron Loops
• On the equivalence of Reggeon field theory in zero transverse dimensions and reaction-diffusion processes
• Exclusive Higgs boson production at the LHC: hard rescattering corrections
• High energy QCD: multiplicity distribution and entanglement entropy
• QCD Reggeon Calculus From KLWMIJ/JIMWLK Evolution: Vertices, Reggeization and All
• Solving effective field theory of interacting QCD pomerons in the semi-classical approximation
• N=4 SYM and QCD motivated approach to soft interactions at high energies
• Effective action for reggeized gluons, classical gluon field of relativistic color charge and color glass condensate approach
• Dipole-dipole scattering in CGC/saturation approach at high energy: summing Pomeron loops
• One loop light-cone QCD, effective action for reggeized gluons and QCD RFT calculus
• KLWMIJ Reggeon Field Theory beyond the large $N_c$ limit
• Boundary conditions in the QCD nucleus-nucleus scattering problem
• The BFKL Pomeron Calculus in the dipole approach
• $J/\psi$ production in hadron scattering: three-pomeron contribution
• Regge Field Theory in zero transverse dimensions: loops versus "net" diagrams
• QCD unitarity constraints on Reggeon Field Theory
• Pomeron loops in the perturbative QCD with Large N_c
• A model for strong interactions at high energy based on the CGC/saturation approach
• Langevin equation in effective theory of interacting QCD pomerons in the limit of large $N_c$
• High energy QCD: multiplicity dependence of quarkonia production
• Single and double inclusive cross-sections for nucleus-nucleus collisions in the peryrbative QCD
• Gluon density and $F_2$ functions from BK equation with impact parameter dependence
• Reggeon Field Theory and Self Duality: Making Ends Meet
• QCD motivated approach to soft interactions at high energy: inclusive production
• The JIMWLK evolution and the s-channel unitarity
• CGC/saturation approach for high energy soft interactions: ${\mathbf{v}}_2$ in proton-proton collisions
• CGC/saturation approach for high energy soft interactions: `soft' Pomeron structure and $v_n$ in hadron and nucleus collisions from Bose-Einstein correlation
• Nuclei in the toy world: beyond the Pomeron in zero transverse dimensions
• CGC/saturation approach: soft interaction at the LHC energies
• Geometric scaling behavior of the scattering amplitude for DIS with nuclei
• Proton-air collisions in a model of soft interactions at high energies
• A CGC/saturation approach for angular correlations in proton-proton scattering
• Large $\mathbf{b}$ behaviour in the CGC/saturation approach: BFKL equation with pion loops
• On asymptotic solutions of RFT in zero transverse dimensions
• Violation of the geometric scaling behaviour of the amplitude for running QCD coupling in the saturation region
• Jet production in pA and AA collisions in the perturbative QCD pomeron model
• PT Symmetry and Hermithean Hamiltonian in the Local Supercritical Pomeron Model
• Dipole-dipole scattering amplitude in CGC approach
• Two parton shower background for associate W Higgs production
• Nucleus-nucleus cross-sections and long-range correlations with a local supercritical pomeron
• Long range rapidity correlations in soft interaction at high energies
• Energy evolution of J/$\psi$ production in DIS on nuclei
• High density QCD and nucleus-nucleus scattering deeply in the saturation region
• BFKL ansatz for BK equation in conformal basis
• Soft Pomeron in the Colour Glass Condensate approach
• CGC/saturation approach: re-visiting the problem of odd harmonics in angular correlations
• BFKL Pomeron calculus: nucleus-nucleus scattering
• Can $1/N_c$ corrections destroy the saturation of dipole densities?
• The BFKL Pomeron calculus: summing enhanced diagrams
• A new parton model for the soft interactions at high energies
• Four-pomeron vertex
• BFKL Pomeron calculus: solution to equations for nucleus-nucleus scattering in the saturation domain