The flow of heavy flavor in hydrodynamics

TL;DR

This paper models charm quark flow in relativistic heavy-ion collisions using ideal hydrodynamics, showing charm flows slightly slower than bulk matter and reproducing experimental electron flow data.

Contribution

It introduces a method to calculate charm quark flow in hydrodynamics assuming charm number conservation, and applies it to predict heavy-flavor electron and J/psi flow.

Findings

Charm radial flow velocity is 10-15% smaller than bulk matter.

The model reproduces measured heavy-flavor electron v2 up to 1.5 GeV/c.

Predicted J/psi v2 using the same flow model.

Abstract

The flow of charm is calculated in 2+1 ideal hydrodynamics by introducing the charge of $c\bar{c}$ pair assuming that the number of $c\bar{c}$ pairs is conserved in relativistic heavy-ion collisions. It is found that the mean radial flow velocity of charm quarks is smaller than that of bulk matter by 10$\sim$15 \% and the measured $v_2$ of heavy-flavor electrons is reproduced up to $p_T^e=$ 1.5 GeV/c in Au+Au collision at RHIC. The same flow is applied to regenerated $J/\psi$ and its $v_2$ is discussed.