Correlation between mean transverse momentum and anisotropic flow in heavy-ion collisions

Abstract

The correlation between the mean transverse momentum of outgoing particles, $⟨p_t⟩$, and the magnitude of anisotropic flow, $v_n$, has recently been measured in Pb+Pb collisions at the CERN Large Hadron Collider, as a function of the collision centrality. We confirm the previous observation that event-by-event hydrodynamics predicts a correlation between $v_n$ and $⟨p_t⟩$ that is similar to that measured in data. We show that the magnitude of this correlation can be directly predicted from the initial condition of the hydrodynamic calculation, for $n=2,3$, if one replaces $v_n$ by the corresponding initial-state anisotropy, ${\epsilon }_n$, and $⟨p_t⟩$ by the total energy per unit rapidity of the fluid at the beginning of the hydrodynamic expansion.

7 pages; 4 figures; v2: published version

References in corpus (10)

• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• Alternative ansatz to wounded nucleon and binary collision scaling in high-energy nuclear collisions
• Triangularity and Dipole Asymmetry in Heavy Ion Collisions
• Bulk viscosity-driven suppression of shear viscosity effects on the flow harmonics at RHIC
• Transverse momentum fluctuations and their correlation with elliptic flow in nuclear collision
• Transverse-momentum fluctuations in relativistic heavy-ion collisions from event-by-event viscous hydrodynamics
• Higher harmonic non-linear flow modes of charged hadrons in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Hydrodynamic Predictions for Mixed Harmonic Correlations in 200 GeV Au+Au Collisions
• Correlation coefficient between harmonic and transverse flow in heavy-ion collisions
• Effects of initial state fluctuations on the mean transverse momentum

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