Quarkonium production in heavy ion collisions: coupled Boltzmann transport equations

Abstract

By coupling the Boltzmann transport equations of both quarkonium and open heavy quarks, we investigate their dynamical evolution inside the quark-gluon plasma and study quarkonium production in heavy ion collisions. The Boltzmann transport equation of quarkonium is derived from the open quantum system formalism and effective field theory of QCD by assuming quarkonium interacts weakly with the plasma. The dissociation and recombination terms in the Boltzmann equation are calculated in potential nonrelativistic QCD. It is shown that the combination of quarkonium dissociation, recombination, open heavy quark diffusion and energy loss can drive the system of quarkonium and open heavy quarks to detailed balance and kinetic thermalization. By solving the transport equations with initial momenta of quarkonia and heavy quarks sampled from PYTHIA and a hydrodynamic medium, we can calculate the nuclear modification factors of bottomonium and describe the data at both RHIC and LHC energies. The azimuthal angular anisotropy coefficient $v_2$ of ${\rm Y}$(1S) in 5.02 TeV peripheral Pb-Pb collisions is also predicted.

5 pages, 1 figure, contribution to the proceedings of Hard Probes 2018: International Conference on Hard and Electromagnetic Probes of High-Energy Nuclear Collisions

References in corpus (5)

• An Introduction to PYTHIA 8.2
• EPS09 - a New Generation of NLO and LO Nuclear Parton Distribution Functions
• A linearized Boltzmann--Langevin model for heavy quark transport in hot and dense QCD matter
• Approach to equilibrium of quarkonium in quark-gluon plasma
• Doubly charmed baryon production in heavy ion collisions

Cited by in corpus (11)

• Heavy Quarkonium in Extreme Conditions
• Quarkonium In-Medium Transport Equation Derived from First Principles
• Coupled Boltzmann Transport Equations of Heavy Quarks and Quarkonia in Quark-Gluon Plasma
• Quarkonium inside Quark-Gluon Plasma: Diffusion, Dissociation, Recombination and Energy Loss
• Open Quantum Systems for Quarkonia
• Quarkonium Semiclassical Transport in Quark-Gluon Plasma: Factorization and Quantum Correction
• Quantum evolution of quarkonia with correlated and uncorrelated noise
• Some Aspects of the Theory of Heavy Ion Collisions
• Prospects for quarkonium studies at the high-luminosity LHC
• Thermal properties of $\pi$ and $\rho$ meson
• Quarkonium Production in Heavy Ion Collisions: From Open Quantum System to Transport Equation