Abstract
We solve the Lindblad equation describing the Brownian motion of a Coulombic heavy quark-antiquark pair in a strongly coupled quark gluon plasma using the Monte Carlo wave function method. The Lindblad equation has been derived in the framework of pNRQCD and fully accounts for the quantum and non-Abelian nature of the system. The hydrodynamics of the plasma is realistically implemented through a 3+1D dissipative hydrodynamics code. We compute the bottomonium nuclear modification factor and elliptic flow and compare with the most recent LHC data. The computation does not rely on any free parameter, as it depends on two transport coefficients that have been evaluated independently in lattice QCD. Our final results, which include late-time feed down of excited states, agree well with the available data from LHC 5.02 TeV PbPb collisions.
Highlights
A striking feature of the strong nuclear force is its confining nature
The Lindblad equation has been derived in the framework of potential non-relativistic QCD (pNRQCD) and fully accounts for the quantum and non-Abelian nature of the system
A recent triumph of experimental nuclear physics, the heavy ion collision experiments at the Large Hadron Collider (LHC) at CERN and the relativistic heavy ion collider (RHIC) at Brookhaven National Laboratory may have achieved sufficiently high energy densities to create a new state of matter, the quark gluon plasma (QGP), in which quarks and gluons are deconfined
Summary
A striking feature of the strong nuclear force is its confining nature. At low energies and macroscopic scales, the quarks and gluons charged under the strong interaction only exist in neutral configurations. A recent triumph of experimental nuclear physics, the heavy ion collision experiments at the Large Hadron Collider (LHC) at CERN and the relativistic heavy ion collider (RHIC) at Brookhaven National Laboratory may have achieved sufficiently high energy densities to create a new state of matter, the quark gluon plasma (QGP), in which quarks and gluons are deconfined. This has spurred theorists to investigate observables signaling the formation of a QGP. This was subsequently extended by the inclusion of non-Abelian singlet-octet transitions using the e↵ective field theory (EFT) potential non-relativistic QCD (pNRQCD) [4,5,6,7]
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