Study on initial geometry fluctuations via participant plane correlations in heavy ion collisions: part II

Abstract

Further investigation of the participant plane correlations within a Glauber model framework is presented, focusing on correlations between three or four participant planes of different order. A strong correlation is observed for $\cos (2{\Phi }_2^{\ast }+3{\Phi }_3^{\ast }-5{\Phi }_5^{\ast })$ which is a reflection of the elliptic shape of the overlap region. The correlation between the corresponding experimental reaction plane angles can be easily measured. Strong correlations of similar geometric origin are also observed for $\cos (2{\Phi }_2^{\ast }+4{\Phi }_4^{\ast }-6{\Phi }_6^{\ast })$, $\cos (2{\Phi }_2^{\ast }-3{\Phi }_3^{\ast }-4{\Phi }_4^{\ast }+5{\Phi }_5^{\ast })$, $\cos (6{\Phi }_2^{\ast }+3{\Phi }_3^{\ast }-4{\Phi }_4^{\ast }-5{\Phi }_5^{\ast })$, $\cos ({\Phi }_1^{\ast }-2{\Phi }_2^{\ast }-3{\Phi }_3^{\ast }+4{\Phi }_4^{\ast })$, $\cos ({\Phi }_1^{\ast }+6{\Phi }_2^{\ast }-3{\Phi }_3^{\ast }-4{\Phi }_4^{\ast })$, and $\cos ({\Phi }_1^{\ast }+2{\Phi }_2^{\ast }+3{\Phi }_3^{\ast }-6{\Phi }_6^{\ast })$, which are also measurable. Experimental measurements of the corresponding reaction plane correlators in heavy ion collisions at RHIC and the LHC may improve our understanding of the physics underlying the measured higher order flow harmonics.

5 pages, 5 figures

References in corpus (6)

• Glauber Modeling in High Energy Nuclear Collisions
• Triangularity and Dipole Asymmetry in Heavy Ion Collisions
• Non linearities in the harmonic spectrum of heavy ion collisions with ideal and viscous hydrodynamics
• Effects of fluctuations on the initial eccentricity from the Color Glass Condensate in heavy ion collisions
• The eccentricity in heavy-ion collisions from Color Glass Condensate initial conditions
• Eccentricity fluctuation effects on elliptic flow in relativistic heavy ion collisions

Cited by in corpus (22)

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• A scaling relation between pA and AA collisions
• Measurement of Event Plane Correlations in Pb-Pb Collisions at $\sqrt{s_{\mathrm{NN}}}$=2.76 TeV with the ATLAS Detector
• Elucidating the event-by-event flow fluctuations in heavy-ion collisions via the event shape selection technique
• Characterization of initial fluctuations for the hydrodynamical description of heavy ion collisions
• Decomposition of fluctuating initial conditions and flow harmonics
• A flow paradigm in heavy-ion collisions
• How (non-) linear is the hydrodynamics of heavy ion collisions?
• Differential flow correlations in relativistic heavy-ion collisions
• Principal component analysis of the nonlinear coupling of harmonic modes in heavy-ion collisions
• Factorization breaking for higher moments of harmonic flow
• New estimator for symmetry plane correlations in anisotropic flow analyses
• Two-particle correlations at high-energy nuclear collisions, peripheral-tube model revisited
• Primordial non-Gaussianity in heavy-ion collisions
• Introductory Overview of Quark Matter 2012
• Anisotropic Flow and Jet Quenching in Relativistic Nuclear Collisions
• Symmetry plane correlations in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• Measurement of $v_n$ coefficients and event plane correlations in 2.76 TeV Pb-Pb collisions with ATLAS
• Statistical analysis of the fluctuations of an initial-state model with independently distributed hot spots