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

preprint2021arXivOpen access

Abstract

The correlation between the mean transverse momentum of outgoing particles, ⟨pt⟩\langle p_t \rangle, and the magnitude of anisotropic flow, vnv_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 vnv_n and ⟨pt⟩\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=2,3n=2,3, if one replaces vnv_n by the corresponding initial-state anisotropy, εn\varepsilon_n, and ⟨pt⟩\langle p_t\rangle by the total energy per unit rapidity of the fluid at the beginning of the hydrodynamic expansion.

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