Correlation between mean transverse momentum and anisotropic flow in heavy-ion collisions
The correlation between the mean transverse momentum of outgoing particles, $\langle{p_t}\rangle$, 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. Here, we confirm the previous observation that event-by-event hydrodynamics predicts a correlation between v n and $\langle{p_t}\rangle$ 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, ε n , and $\langle{p_t}\rangle$ by the total energy per unit rapidity of the fluid at the beginning of the hydrodynamic expansion.