Effects of fluctuations on the initial eccentricity from the Color Glass Condensate in heavy ion collisions

Abstract

We introduce a modified form of the Kharzeev-Levin-Nardi (KLN) approach for nuclear collisions. The new ansatz for the unintegrated gluon distribution function preserves factorization, and the saturation scale is bound from below by that for a single nucleon. It also reproduces the correct scaling with the number of collisions at high transverse momentum. The corresponding Monte Carlo implementation allows us to account for fluctuations of the hard sources (nucleons) in the transverse plane. We compute various definitions of the eccentricity within the new approach, which are relevant for the interpretation of the elliptic flow. Our approach predicts breaking of the scaling of the eccentricity with the Glauber eccentricity at the level of about 30%.

arXiv comment9 pages, 10 figures, Updated version as accepted by Phys.Rev.D

References in corpus (49)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• The PHOBOS Perspective on Discoveries at RHIC
• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• Hadron production in nuclear collisions at RHIC and high density QCD
• Thermalization of gluons in ultrarelativistic heavy ion collisions by including three-body interactions in a parton cascade
• Hadronic dissipative effects on elliptic flow in ultrarelativistic heavy-ion collisions
• Study of relativistic nuclear collisions at AGS energies from p+Be to Au+Au with hadronic cascade model
• Cronin Effect and High-p_T Suppression in pA Collisions
• Saturation of Elliptic Flow and the Transport Opacity of the Gluon Plasma at RHIC
• The initial energy density of gluons produced in very high energy nuclear collisions
• The Color Glass Condensate and hadron production in the forward region
• Hydrodynamic Models for Heavy Ion Collisions
• Non-perturbative computation of gluon mini-jet production in nuclear collisions at very high energies
• Production of gluons in the classical field model for heavy ion collisions
• Coherent gluon production in very high energy heavy ion collisions
• Color Glass Condensate at the LHC: hadron multiplicities in $pp$, $pA$ and $AA$ collisions
• The initial gluon multiplicity in heavy ion collisions
• High energy pA collisions in the color glass condensate approach I. Gluon production and the Cronin effect
• Relating high-energy lepton-hadron, proton-nucleus and nucleus-nucleus collisions through geometric scaling
• Elliptic flow and incomplete equilibration at RHIC
• Centrality Dependence of the Charged Particle Multiplicity near Mid-Rapidity in Au+Au Collisions at sqrt(s_NN) = 130 and 200 GeV
• How Protons Shatter Colored Glass
• The eccentricity in heavy-ion collisions from Color Glass Condensate initial conditions
• Classical Gluodynamics of High Energy Nuclear Collisions: an Erratum and an Update
• Gluon production in the Color Glass Condensate model of collisions of ultrarelativistic finite nuclei
• QCD Saturation and Deuteron-Nucleus Collisions
• On the necessity to include event-by-event fluctuations in experimental evaluation of elliptical flow
• Eccentricity fluctuations and elliptic flow at RHIC
• Hydrodynamic afterburner for the Color Glass Condensate and the parton energy loss
• QCD Plasma Instabilities and Isotropization
• Geometric scaling violations in the central rapidity region of d+Au collisions at RHIC
• Event-by-event fluctuations in hydrodynamical description of heavy-ion collisions
• Universality of the saturation scale and the initial eccentricity in heavy ion collisions
• System size, energy and pseudorapidity dependence of directed and elliptic flow at RHIC
• Ultraviolet avalanche in anisotropic non-Abelian plasmas
• Does parton saturation at high density explain hadron multiplicities at RHIC ?
• Scattering of Gluons from the Color Glass Condensate
• Inclusive jet production on the nucleus in the perturbative QCD with $N_c\to \infty$
• 3D Relativistic Hydrodynamic Computations Using Lattice-QCD-Inspired Equations of State
• Elliptic Flow Analysis at RHIC: Fluctuations vs. Non-Flow Effects
• Elliptic flow of colored glass in high energy heavy ion collisions
• Correlations and Fluctuations in High-Energy Nuclear Collisions
• Elliptic Flow Analysis at RHIC with the Lee-Yang Zeroes Method in a Relativistic Transport Approach
• Thermalization of gluons at RHIC including gg <-> ggg interactions in a parton cascade
• NeXSPheRIO results on elliptic flow at RHIC and connection with thermalization
• Isotropization by QCD Plasma Instabilities
• Numerical Simulation of Non-Abelian Particle-Field Dynamics

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