Investigation of the linear and mode-coupled flow harmonics in Au+Au collisions at $\sqrt{{\text{s}}_{NN}}$ = 200 GeV

Abstract

Flow harmonics (${\text{v}}_n$) of the Fourier expansion for the azimuthal distributions of hadrons are commonly employed to quantify the azimuthal anisotropy of particle production relative to the collision symmetry planes. While lower order Fourier coefficients (${\text{v}}_2$ and ${\text{v}}_3$) are more directly related to the corresponding eccentricities of the initial state, the higher-order flow harmonics (${\text{v}}_{n>3}$) can be induced by a mode-coupled response to the lower-order anisotropies, in addition to a linear response to the same-order anisotropies. These higher-order flow harmonics and their linear and mode-coupled contributions can be used to more precisely constrain the initial conditions and the transport properties of the medium in theoretical models. The multiparticle azimuthal cumulant method is used to measure the linear and mode-coupled contributions in the higher-order anisotropic flow, the mode-coupled response coefficients, and the correlations of the event plane angles for charged particles as functions of centrality and transverse momentum in Au+Au collisions at nucleon-nucleon center-of-mass energy $\sqrt{{\text{s}}_{NN}}$ = 200 GeV. The results are compared to similar LHC measurements as well as to several viscous hydrodynamic calculations with varying initial conditions.

arXiv comment15 pages, 4 figures, submitted for publication

References in corpus (60)

• Collective flow and viscosity in relativistic heavy-ion collisions
• Methods for analyzing anisotropic flow in relativistic nuclear collisions
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Flow Study in Relativistic Nuclear Collisions by Fourier Expansion of Azimuthal Particle Distributions
• Radial and elliptic flow at RHIC: further predictions
• Heavy Ion Collisions: The Big Picture, and the Big Questions
• Collision geometry fluctuations and triangular flow in heavy-ion collisions
• The STAR Time Projection Chamber: A Unique Tool for Studying High Multiplicity Events at RHIC
• Event-by-event anisotropic flow in heavy-ion collisions from combined Yang-Mills and viscous fluid dynamics
• 200 A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid
• Collective flow and two-pion correlations from a relativistic hydrodynamic model with early chemical freeze out
• Flow analysis with cumulants: direct calculations
• Triangularity and Dipole Asymmetry in Heavy Ion Collisions
• Hadronic dissipative effects on elliptic flow in ultrarelativistic heavy-ion collisions
• Measurements of Higher-Order Flow Harmonics in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Triangular flow in hydrodynamics and transport theory
• Event-by-event fluctuations in perturbative QCD + saturation + hydro model: pinning down QCD matter shear viscosity in ultrarelativistic heavy-ion collisions
• Event-by-event shape and flow fluctuations of relativistic heavy-ion collision fireballs
• Early thermalization at RHIC
• Mapping the hydrodynamic response to the initial geometry in heavy-ion collisions
• Event-by-event distributions of azimuthal asymmetries in ultrarelativistic heavy-ion collisions
• The Importance of Correlations and Fluctuations on the Initial Source Eccentricity in High-Energy Nucleus-Nucleus Collisions
• Generic framework for anisotropic flow analyses with multi-particle azimuthal correlations
• Non linearities in the harmonic spectrum of heavy ion collisions with ideal and viscous hydrodynamics
• Triangular flow in event-by-event ideal hydrodynamics in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}=200A$ GeV
• Anisotropic flow in sqrt(s)=2.76 TeV Pb+Pb collisions at the LHC
• Translation of collision geometry fluctuations into momentum anisotropies in relativistic heavy-ion collisions
• Measurement of event-plane correlations in sqrt(s_NN)=2.76 TeV lead-lead collisions with the ATLAS detector
• Event-by-event hydrodynamics and elliptic flow from fluctuating initial state
• Correlated event-by-event fluctuations of flow harmonics in Pb-Pb collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}=2.76$ TeV
• Effect of flow fluctuations and nonflow on elliptic flow methods
• Inclusive charged hadron elliptic flow in Au + Au collisions at $\sqrt{s_{NN}}$ = 7.7 - 39 GeV
• Measurement of higher-order harmonic azimuthal anisotropy in PbPb collisions at a nucleon-nucleon center-of-mass energy of 2.76 TeV
• Hydrodynamic event-plane correlations in Pb+Pb collisions at sqrt(s)=2.76ATeV
• The PHOBOS Glauber Monte Carlo
• Measurement of the correlation between flow harmonics of different order in lead-lead collisions at $\sqrt{s_{NN}}$=2.76 TeV with the ATLAS detector
• Evidence of sub-nucleonic degrees of freedom in J/$\psi$ photoproduction in ultraperipheral collisions at the CERN Large Hadron Collider
• Revealing long-range multi-particle collectivity in small collision systems via subevent cumulants
• $v_4$, $v_5$, $v_6$, $v_7$: nonlinear hydrodynamic response versus LHC data
• Effect of the QCD equation of state and strange hadronic resonances on multiparticle correlations in heavy ion collisions
• Anisotropic flow in event-by-event ideal hydrodynamic simulations of sqrt(s_{NN})=200 GeV Au+Au collisions
• Viscous Effects on the Mapping of the Initial to Final State in Heavy Ion Collisions
• Characterizing flow fluctuations with moments
• Non-flow correlations and elliptic flow fluctuations in gold-gold collisions at sqrt(s_NN)= 200 GeV
• Flow fluctuations and long-range correlations: elliptic flow and beyond
• Linear and non-linear flow mode in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=$ 2.76 TeV
• Mode-coupling effects in anisotropic flow in heavy-ion collisions
• Observation of correlated azimuthal anisotropy Fourier harmonics in pp and pPb collisions at the LHC
• Plane correlations and hydrodynamic simulations of heavy ion collisions
• Event-plane correlators
• Multi-particle and charge-dependent azimuthal correlations in heavy-ion collisions at the Relativistic Heavy-Ion Collider
• Azimuthal harmonics in small and large collision systems at RHIC top energies
• Initial eccentricity fluctuations and their relation to higher-order flow harmonics
• Harmonic decomposition of three-particle azimuthal correlations at RHIC
• Anisotropic distributions in a multi-phase transport model
• Azimuthal anisotropy in Cu+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• Collision system and beam energy dependence of anisotropic flow fluctuations
• Acoustic scaling of linear and mode-coupled anisotropic flow; implications for precision extraction of the specific shear viscosity
• Correlation Measurements Between Flow Harmonics in Au+Au Collisions at RHIC
• Beam-energy dependence of the azimuthal anisotropic flow from RHIC

Cited by in corpus (12)

• Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter
• Precision tests of the nonlinear mode coupling of anisotropic flow via high-energy collisions of isobars
• Collision-System and Beam-Energy Dependence of Anisotropic Flow Fluctuations
• Measures of azimuthal anisotropy in high-energy collisions
• Beam energy dependence of the linear and mode-coupled flow harmonics in Au+Au collisions
• Characterizing the initial and final state effects of relativistic nuclear collisions
• A model investigation of the longitudinal broadening of the transverse momentum two-particle correlator
• Beam Energy Dependence of the Linear and Mode-Coupled Flow Harmonics Using the A Multi-Phase Transport Model
• Azimuthal dependence of two-particle transverse momentum current correlations
• Bayesian reconstruction of anisotropic flow fluctuations at fixed impact parameter
• Measuring differential particle correlations in relativistic nuclear collisions
• Investigations of the linear and non-linear flow harmonics using the A Multi-Phase Transport model