Approach to equilibrium of quarkonium in quark-gluon plasma

Abstract

We calculate the dissociation and recombination rates of ${\rm Y}(1S)$ in quark-gluon plasma by using potential non-relativistic QCD. We then study the dynamical in-medium evolution of the $b\bar{b}-{\rm Y}$ system in a periodic box via the Boltzmann equation and explore how the system reaches equilibrium. We find that interactions between the free heavy quarks and the medium are necessary for the system to reach equilibrium. We find that the angular distribution of ${\rm Y}(1S)$ probes the stages at which recombination occurs. Finally, we study the system under a longitudinal expansion and show that different initial conditions evolve to distinct final ratios of hidden and open $b$ flavors. We argue that experimental measurements of the ratio could address open questions in the quarkonium production in heavy ion collisions.

6 pages, 5 figures, accepted version; a missing factor in Eq.(6) is added

References in corpus (10)

• Static quark-antiquark pairs at finite temperature
• Real and imaginary-time $Q\bar{Q}$ correlators in a thermal medium
• Towards an understanding of the RHIC single electron data
• Color Screening Melts Quarkonium
• Color Screening and Regeneration of Bottomonia in High-Energy Heavy-Ion Collisions
• Heavy quark master equations in the Lindblad form at high temperatures
• The heavy-quark potential in an anisotropic plasma
• The imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasma
• Charmonium in strongly coupled quark-gluon plasma
• Bulk viscous corrections to screening and damping in QCD at high temperatures

Cited by in corpus (39)

• 50 Years of Quantum Chromodynamics
• Heavy quarkonium suppression in a fireball
• Quantum and Classical Dynamics of Heavy Quarks in a Quark-Gluon Plasma
• 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
• Excited bottomonia in quark-gluon plasma from lattice QCD
• Doubly charmed baryon production in heavy ion collisions
• Quarkonium in-medium properties from realistic lattice NRQCD
• Non-Abelian Electric Field Correlator at NLO for Dark Matter Relic Abundance and Quarkonium Transport
• Study of ${\rm Y}$ production in $p$Pb collisions at $\sqrt{s_{NN}}=8.16$ TeV
• Quantum evolution of quarkonia with correlated and uncorrelated noise
• Quantum dissipation of a heavy quark from a nonlinear stochastic Schrödinger equation
• Thermal Production of Charmonia at the LHC Energies
• Real Time Quarkonium Transport Coefficients in Open Quantum Systems from Euclidean QCD
• Phenomenological study of quarkonium suppression and the impact of the energy gap between singlets and octets
• Liouvillian Dynamics of the Open Schwinger Model: String Breaking and Kinetic Dissipation in a Thermal Medium
• Some Aspects of the Theory of Heavy Ion Collisions
• Quarkonium production in heavy ion collisions: coupled Boltzmann transport equations
• ${\rm Y}(1S)$ transverse momentum spectra through dissociation and regeneration in heavy ion collisions
• Quarkonium production in heavy ion collisions: coupled Boltzmann transport equations
• Chromoelectric field correlator for quarkonium transport in the strongly coupled $\mathcal{N}=4$ Yang-Mills plasma from AdS/CFT
• Dynamics of in-medium quarkonia in SU(3) and SU(2) gauge theories
• Proper static potential in classical lattice gauge theory at finite T
• Holographic vector meson melting in a thermal gravity-dilaton background related to QCD
• Quarkonium Production in Heavy Ion Collisions: From Open Quantum System to Transport Equation
• Generalized Gluon Distribution for Quarkonium Dynamics in Strongly Coupled $\mathcal{N}=4$ Yang-Mills Theory
• Quarkonium: a theory overview
• Flavor dependence of the thermal dissociations of vector and axial-vector mesons
• Heavy quarkonium dissociation in the finite space of heavy-ion collisions
• Energy loss of heavy quarkonia in hot QCD plasmas
• Possibility of bottom-catalyzed matter genesis near to primordial QGP hadronization
• Quarkonia formation in a holographic gravity-dilaton background describing QCD thermodynamics
• Finite volume effects on quarkonium dissociation temperature in an impenetrable QGP sphere
• Non-Markovian dynamics of bottomonia in the QGP
• A simple model to include initial-state and hot-medium effects in the computation of quarkonium nuclear modification factor
• Holographic bottomonium formation in a cooling strong-interaction medium at finite baryon density
• Theoretical Review of Charmonium Production with Different $p_T$ in the Hot Medium
• An Effective Field Theory study of medium heavy quark evolution