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%.

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

References in corpus (3)

• On the necessity to include event-by-event fluctuations in experimental evaluation of elliptical flow
• Eccentricity fluctuations and elliptic flow at RHIC
• Universality of the saturation scale and the initial eccentricity in heavy ion collisions

Cited by in corpus (14)

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• Eccentricity fluctuations from the Color Glass Condensate at RHIC and LHC
• Fluctuating initial conditions in heavy-ion collisions from the Glauber approach
• Eccentricity fluctuation effects on elliptic flow in relativistic heavy ion collisions
• Mass ordering of differential elliptic flow and its violation for phi mesons
• Entropy production in high-energy heavy-ion collisions and the correlation of shear viscosity and thermalization time
• Viscous evolution of the rapidity distribution of matter created in relativistic heavy-ion collisions
• Scaling of $v_2$ in heavy ion collisions
• From Glasma to Quark Gluon Plasma in heavy ion collisions
• Lectures on multi-particle production in the Glasma