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