Determination of the reaction plane in ultrarelativistic nuclear collisions

Abstract

In the particles produced in a nuclear collision undergo collective flow, the reaction plane can in principle be determined through a global event analysis. We show here that collective flow can be identified by evaluating the reaction plane independently in two separate rapidity intervals, and studying the correlation between the two results. We give an analytical expression for the correlation function between the two planes as a function of their relative angle. We also discuss how this correlation function is related to the anisotropy of the transverse momentum distribution. Email contact: [email protected]

Saclay-T93/026 Email: [email protected]

References in corpus (1)

• Transverse momentum analysis of collective motion in relativistic nuclear collisions

Cited by in corpus (82)

• Methods for analyzing anisotropic flow in relativistic nuclear collisions
• Flow analysis from multiparticle azimuthal correlations
• Elliptic flow at SPS and RHIC: from kinetic transport to hydrodynamics
• Particle Interferometry for Relativistic Heavy-Ion Collisions
• System Size, Energy, Pseudorapidity, and Centrality Dependence of Elliptic Flow
• Directed and elliptic flow of charged pions and protons in Pb+Pb collisions at 40 and 158A GeV
• New method for measuring azimuthal distributions in nucleus-nucleus collisions
• Signatures of Quark-Gluon-Plasma formation in high energy heavy-ion collisions: A critical review
• Highly Sensitive Centrality Dependence of Elliptic Flow -- A Novel Signature of the Phase Transition in QCD
• Evidence for transverse momentum and pseudorapidity dependent event plane fluctuations in PbPb and pPb collisions
• Elliptic Flow and HBT in non-central Nuclear Collisions
• Observation of Anisotropic Event Shapes and Transverse Flow in Au+Au Collisions at AGS Energy
• Effect of flow fluctuations and nonflow on elliptic flow methods
• Anisotropic parton escape is the dominant source of azimuthal anisotropy in transport models
• Anisotropic parton escape is the dominant source of azimuthal anisotropy in transport models
• Systematics of Stopping and Flow in Au+Au Collisions
• Last Call for RHIC Predictions
• Soft transverse expansion in Pb(158 AGeV) on Pb collisions: preequilibrium motion or 1st order phase transition?
• Directed, elliptic and higher order flow harmonics of protons, deuterons and tritons in Au+Au collisions at $\sqrt{s_{NN}}=2.4$ GeV
• Physics and Signatures of the Quark - Gluon Plasma
• Hot Spots and Turbulent Initial Conditions of Quark-Gluon Plasmas in Nuclear Collisions
• An unusual space-time evolution for heavy ion collisions at high energies due to the QCD phase transition
• Two-particle interferometry for non-central heavy-ion collisions
• Collective phenomena in non-central nuclear collisions
• Thermally Fluctuating Second-Order Viscous Hydrodynamics and Heavy-Ion Collisions
• Charged-particle angular correlations in XeXe collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}=$ 5.44 TeV
• Effects of momentum conservation on the analysis of anisotropic flow
• Longitudinal Decorrelation of Anisotropic Flows in Heavy-ion Collisions at the CERN Large Hadron Collider
• Elliptic flow contribution to two-particle correlations at different orientations to the reaction plane
• Anisotropic flow of charged and identified hadrons in the quark-gluon string model for Au+Au collisions at sqrt(s) = 200 GeV
• Symmetry constraints for the emission angle dependence of Hanbury Brown--Twiss radii
• Elliptic flow at collider energies and cascade string models: The role of hard processes and multi-Pomeron exchanges
• Antiflow of kaons in relativistic heavy ion collisions
• Differential Elliptic Flow in 2 - 6 AGeV Au+Au Collisions: A New Constraint for the Nuclear Equation of State
• Eccentricity fluctuations make flow measurable in high multiplicity p-p collisions
• Hard Probes in Heavy Ion Collisions at the LHC: Jet Physics
• Measurement of prompt ${\mathrm{D}}^0$ and ${\overline{\mathrm{D}}}^0$ meson azimuthal asymmetry and search for strong electric fields in PbPb collisions at $\sqrt{s_{\mathrm{NN}}}=$ 5.02 TeV
• Hexagonal flow v_6 as a superposition of elliptic v_2 and triangular v_3 flows
• Uranium on uranium collisions at relativistic energies
• High energy collisions of strongly deformed nuclei: An old idea with a new twist
• The role of elliptic flow correlations in the discovery of the sQGP at RHIC
• On the elliptical flow and asymmetry of the colliding nuclei
• K^+ versus Λflow in relativistic heavy-ion collisions
• Novel Phenomena in Particle Correlations in Relativistic Heavy-Ion Collisions
• Elliptic Flow: A Study of Space-Momentum Correlations In Relativistic Nuclear Collisions
• Elliptic flow of thermal photons in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV
• Emission times and opacities from interferometry in non-central Relativistic Nuclear Collisions
• Origin of the mass splitting of azimuthal anisotropies in a multi-phase transport model
• Origin of the mass splitting of elliptic anisotropy in a multiphase transport model
• Exposing the Noncollectivity in Elliptic Flow
• Stopping effects in U+U collisions with a beam energy of 520 MeV/nucleon
• Measures of azimuthal anisotropy in high-energy collisions
• Excitation function of nucleon and pion elliptic flow in relativistic heavy-ion collisions
• Elliptic flow at RHIC: where and when does it formed?
• Effect of initial fluctuations on the collective flow in intermediate-energy heavy ion collisions
• A method for analysing the jet azimuthal anisotropy in ultrarelativistic heavy ion collisions
• Microscopic description of anisotropic flow in relativistic heavy ion collisions
• Nuclear Matter Expansion Parameters from the Measurement of Differential Multiplicities for Lambda Production in Central Au+Au Collisions at AGS
• Charm quarks are more hydrodynamic than light quarks in final-state elliptic flow
• Anisotropic flows from initial state of a fast nucleus
• Jets and elliptic flow correlations at low and high transverse momenta in ultrarelativistic A+A collisions
• Large elliptic flow in low multiplicity pp collisions at LHC energy $\sqrt{s}$=14 TeV
• Eccentricities, fluctuations and A-dependence of elliptic and triangular flows in heavy-ion collisions
• Event anisotropy in 4.2A GeV/c C+C collisions
• Transition to meson-dominated matter at RHIC. Consequences for kaon flow
• Collective flow and QCD phase transition
• Higher-order moments of the elliptic flow distribution in PbPb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Correlations between azimuthal anisotropy Fourier harmonics in PbPb collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}=2.76$ TeV in the HYDJET++ and AMPT models
• Anisotropic Flow and Jet Quenching in Relativistic Nuclear Collisions
• Initial conditions of bulk matter in ultrarelativistic nuclear collisions
• Proton and deuteron distributions as signatures for collective particle dynamics and event shape geometries at the RHIC
• Experimental Signatures of Anomaly Induced DCC Formation
• Statistical uncertainties of the $v_n\{2k\}$ harmonics from Q-cumulants
• System size and beam energy dependence of azimuthal anisotropy from PHENIX
• Elliptical flow coalescence to identify the $f_0$(980) content
• Sub-leading flow modes in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV from HYDJET++ model
• Review of results using heavy ion collisions at CMS
• Skewness of the elliptic flow distribution in $\sqrt{s_{{}_{\mathrm{NN}}}}$ = 5.02~TeV PbPb collisions from HYDJET++ model
• Analysis Tools for Discovering Strong Parity Violation at Hadron Colliders
• Measurement methods of radial flow in relativistic heavy-ion collisions
• A Novel Approach to Fast Calculation of High-Order Q-Cumulants
• Statistical hadronization phenomenology in heavy ion collisions at SPS and RHIC energies