Heavy Ion Initial Conditions and Correlations Between Higher Moments in the Spatial Anisotropy

Abstract

Fluctuations in the initial conditions for relativistic heavy ion collisions are proving to be crucial to understanding final state flow and jet quenching observables. The initial geometry has been parametrized in terms of moments in the spatial anisotropy (i.e. ${\epsilon }_2,{\epsilon }_3,{\epsilon }_4,{\epsilon }_5...$), and it has been stated in multiple published articles that the vector directions of odd moments are uncorrelated with the even moments and the reaction place angle. In this article, we demonstrate that this is incorrect and that a substantial correlation exists between the even and odd moments in peripheral Au+Au collisions. These correlations persist for all centralities, though at a very small level for the 0-55% most central collisions.

4 pages, 6 figures

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• Triangular flow in hydrodynamics and transport theory
• Triangular flow in event-by-event ideal hydrodynamics in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}=200A$ GeV
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Cited by in corpus (29)

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• Measurement of event-plane correlations in sqrt(s_NN)=2.76 TeV lead-lead collisions with the ATLAS detector
• Relativistic Theory of Hydrodynamic Fluctuations with Applications to Heavy Ion Collisions
• Determining initial-state fluctuations from flow measurements in heavy-ion collisions
• Hydrodynamic event-plane correlations in Pb+Pb collisions at sqrt(s)=2.76ATeV
• Third Harmonic Flow of Charged Particles in Au+Au Collisions at sqrtsNN = 200 GeV
• GLISSANDO 2: GLauber Initial-State Simulation AND mOre..., ver. 2
• Elliptic and triangular flow anisotropy in deuteron-gold collisions at RHIC and proton-lead collisions at the LHC
• Understanding anisotropy generated by fluctuations in heavy-ion collisions
• A fully relativistic lattice Boltzmann algorithm
• GLISSANDO 3: GLauber Initial-State Simulation AND mOre..., ver. 3
• Hydrodynamic flow amplitude correlations in event-by-event fluctuating heavy-ion collisions
• Measurement of Event Plane Correlations in Pb-Pb Collisions at $\sqrt{s_{\mathrm{NN}}}$=2.76 TeV with the ATLAS Detector
• A method for studying initial geometry fluctuations via event plane correlations in heavy ion collisions
• Influence of initial fluctuations on geometry measures in relativistic U-U and Cu-Au collisions
• Correlations in the Monte Carlo Glauber model
• Decomposition of fluctuating initial conditions and flow harmonics
• A systematic study of the sensitivity of triangular flow to the initial state fluctuations in relativistic heavy-ion collisions
• Counting hot/cold spots in quark-gluon plasma
• On the origin of trigger-angle dependence of di-hadron correlations
• A Very High Momentum Particle Identification Detector
• New estimator for symmetry plane correlations in anisotropic flow analyses
• Dissipative hydrodynamics coupled to chiral fields
• Glauber-based evaluations of the odd moments of the initial eccentricity relative to the even order participant planes
• Two-particle correlations at high-energy nuclear collisions, peripheral-tube model revisited
• Symmetry plane correlations in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• Third Harmonic Flow of Charged Particles in Au+Au Collisions at $\sqrt{s_{NN}}=200$ GeV
• Hydrodynamical response of plane correlation in Pb+Pb collisions at $\sqrt{s_{\text{NN}}}$=2.76 TeV