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 highly efficient 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 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
Among the hard probes of the QGP there is quarkonium suppression
The EFT that is obtained by integrating out degrees of freedom associated with the scale m is Non Relativistic QCD (NRQCD) [17, 18] and the EFT obtained by integrating out gluons with momentum or energy scaling like the inverse of the Bohr radius is potential NRQCD [19,20,21]
Quarkonium scattering in the medium, quarkonium dissociation into an unbound color octet QQpair, and the inverse processes of QQpair generation call for an appropriate framework to describe the quarkonium non-equilibrium evolution in the QGP: the open quantum system framework (OQS)
Summary
Among the hard probes of the QGP there is quarkonium suppression. The original idea was put forward by Matsui and Satz in [1] who assumed the quarkonium interaction to be screened in the hot QGP leading to a suppression in the number of quarkonia. Sequential screening as a function of the radius of the quarkonium state is a consequence of this mechanism This paradigm was challenged when the quark-antiquark potential in the medium was first calculated in weak coupling in the screening regime r ∼ 1/mD [2]. In [32,33,34], an OQS framework rooted in pNRQCD has been developed that is fully quantum, conserves the number of heavy quarks and takes into account both the color singlet and the color octet QQdegrees of freedom In this framework, the QGP plays the role of the environment characterized by a scale πT and the quarkonium is the system characterized by the scale E. At leading order the interaction between a heavy QQfield and the medium is encoded in pNRQCD in a chromoelectric dipole interaction
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