Parton densities and saturation scale from non-linear evolution in DIS on nuclei

Abstract

We present the numerical solution of the non-linear evolution equation for DIS on nuclei for $x=10^{-2}÷10^{-7}$. We demonstrate that the solution to the non-linear evolution equation is quite different from the Glauber - Mueller formula which was used as the initial condition for the equation. We illustrate the energy profit for performing DIS experiments on nuclei. However, it turns out that the gain is quite modest: $x_{Au}\simeq 5x_{\mathrm{proton}}$ for the same parton density. We find that the saturation scale $Q_s^2\propto A^{1/3}$. For gold the saturation scale $Q_{s,Au}\simeq 1.5GeV$ at $x=10^{-3}$. Such a large value leads to considerable contribution of the high density QCD phase to RHIC data and reveals itself in essential damping for both $x{G}_A$ and $F_{2A}$.

19 pages, 28 figures

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Cited by in corpus (42)

• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• The Color Glass Condensate
• Saturation Physics and Deuteron--Gold Collisions at RHIC
• Evolution at small x_bj: The Color Glass Condensate
• Nuclear shadowing
• Non-linear QCD meets data: A global analysis of lepton-proton scattering with running coupling BK evolution
• Universal features of JIMWLK and BK evolution at small x
• Wilson line correlator in the MV model: relating the glasma to deep inelastic scattering
• 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
• Quark pair production in high energy pA collisions: General features
• Nuclear enhancement and suppression of diffractive structure functions at high energies
• In pursuit of Pomeron loops: the JIMWLK equation and the Wess-Zumino term
• Nonlinear evolution in high-density QCD
• Running coupling and power corrections in nonlinear evolution at the high--energy limit
• Small x Phenomenology - summary of the 3rd Lund Small x Workshop in 2004
• Perturbative Saturation and the Soft Pomeron
• Baryon Stopping and the Valence Quark Distribution at Small x
• Saturation physics at HERA and RHIC: An unified description
• Open charm production in heavy ion collisions and the Color Glass Condensate
• Limiting fragmentation in hadron-hadron collisions at high energies
• Odderon and seven Pomerons: QCD Reggeon field theory from JIMWLK evolution
• Elliptic Flow from Minijet Production in Heavy Ion Collisions
• Geometric scaling and QCD evolution
• Treading on the cut: Semi inclusive observables at high energy
• Towards a New Global QCD Analysis: Solution to the Non-Linear Equation at Arbitrary Impact Parameter
• Higher Order Effects in Non Linear Evolution from a Veto in Rapidities
• The spread of the gluon k_t-distribution and the determination of the saturation scale at hadron colliders in resummed NLL BFKL
• Could saturation effects be visible in a future electron-ion collider?
• Quantum chromodynamics at high energy and statistical physics
• QCD Saturation in the Semi-classical Approach
• Comparing AdS/CFT Calculations to HERA F_2 Data
• Diffractive dissociation from non-linear evolution in DIS on nuclei
• Forward hadron production in high energy pA collisions: from RHIC to LHC
• Probing the Color Glass Condensate in an electron-ion collider
• Pomeron fan diagrams with an infrared cutoff and running coupling
• O(α_s^2)-corrections to JIMWLK evolution from the classical equations of motion
• On correlations and discreteness in non-linear QCD evolution
• Compatibility of phenomenological dipole cross sections with the Balitsky-Kovchegov equation
• Brief Review of Saturation Physics
• A Nuclear Physics Program at the ATLAS Experiment at the CERN Large Hadron Collider
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