Dynamical Quarkonia Suppression in a QGP-Brick

Abstract

I address the effect that a temperature dependent potential has on the suppression of heavy quarkonia states in deconfined hadronic matter. I focus on a simple medium: a homogenous, fixed temperature and deconfined system with a finite lifetime (QGP-brick). Assuming that all the interactions of a heavy quark anti-quark ($Q-\bar{Q}$) pair with the medium can be recast into an in-medium potential, I solve the time dependent Schrödinger equation to evolve the density matrix which describes the hard pair production and its connection to the final distribution of hadrons after the medium disappears. For those temperatures in which bound states survive in the medium, I find a non-trivial dependence of the production of excited quarkonia states on the in-medium levels, due to the mixing of vacuum and in-medium wave functions. This mixing leads, in particular, to the enhancement of the relative abundance of 2S to 1S states for those systems in which the in-medium ground state of the $Q-\bar{Q}$ system is dissolved or close to threshold. I also explore quarkonia production in a non-homogeneous expanding medium and find that the finite formation time effects arising from the low binding energies of in-medium states lead to the insensitivity of the heavy mesons yield to the hottest part of the system evolution.

21 pages, 19 figures

References in corpus (12)

• J/psi Production vs Centrality, Transverse Momentum, and Rapidity in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• First Results from Pb+Pb collisions at the LHC
• Observation of sequential Upsilon suppression in PbPb collisions
• J/$\psi$ suppression at forward rapidity in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Suppression of non-prompt J/psi, prompt J/psi, and Y(1S) in PbPb collisions at sqrt(sNN) = 2.76 TeV
• Real and imaginary-time $Q\bar{Q}$ correlators in a thermal medium
• Color Screening Melts Quarkonium
• Thermal Bottomonium Suppression at RHIC and LHC
• J/psi, psi' and Upsilon Production at Hadron Colliders: a review
• Bottomonia in the Quark-Gluon Plasma and their Production at RHIC and LHC
• A resummed perturbative estimate for the quarkonium spectral function in hot QCD
• Non-relativistic bound states at finite temperature (I): the hydrogen atom

Cited by in corpus (6)

• Heavy Quarkonium in Extreme Conditions
• Heavy quarkonium suppression in a fireball
• Heavy quark master equations in the Lindblad form at high temperatures
• Heavy-flavor production and medium properties in high-energy nuclear collisions - What next?
• A first look at Bottomonium melting via a stochastic potential
• Simulation of Lindblad equations for quarkonium in the quark-gluon plasma