Quarkonium formation time in relativistic heavy-ion collisions

Abstract

We calculate the quarkonium formation time in relativistic heavy-ion collisions from the space-time correlator of heavy quark vector currents in a hydrodynamics background with the initial nonequilibrium stage expanding only in the longitudinal direction. Using in-medium quarkonia properties determined with the heavy quark potential taken to be the free energy from lattice calculations and the fact that quarkonia can only be formed below their dissociation temperatures due to color screening, we find that ${\rm Y}$(1S), ${\rm Y}$(2S), ${\rm Y}$(3S), $J/\psi$ and ${\psi }^{\prime }$ are formed, respectively, at 1.2, 6.6, 8.8, 5.8, and 11.0 fm/c after the quark pair are produced in central Au+Au collisions at the top energy of Relativistic Heavy Ion Collider (RHIC), and these times become shorter in semi-central collisions. We further show, as an example, that including the effect of formation time enhances appreciably the survivability of ${\rm Y}$(1S) in the produced hot dense matter.

6 pages, 4 figures

References in corpus (14)

• Systematic Measurements of Identified Particle Spectra in pp, d+Au and Au+Au Collisions from STAR
• The QCD equation of state with dynamical quarks
• J/psi Production vs Centrality, Transverse Momentum, and Rapidity in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• J/psi Production in Quark-Gluon Plasma
• Transverse Momentum Spectra of J/ψin Heavy-Ion Collisions
• J/psi production at high transverse momentum in p+p and Cu+Cu collisions at \sNN=200GeV
• Open and hidden charm in proton-nucleus and heavy-ion collisions
• Critical behavior of charmonia across the phase transition: A QCD sum rule approach
• The widths of quarkonia in quark gluon plasma
• The thermal width of heavy quarkonia moving in quark gluon plasma
• $J/\psi$ production and elliptic flow in relativistic heavy-ion collisions
• $R_{AA}$ of $J/\psi$ near mid-rapidity in heavy ion collisions at $\sqrt{s_{NN}}=200$ GeV
• Charmonium dynamics in Au+Au collisions at sqrt(S)=200 GeV
• Quarkonium formation time in quark-gluon plasma

Cited by in corpus (5)

• Quarkonium propagation in the quark gluon plasma
• Bottomonium spectroscopy in the quark-gluon plasma
• Aspects of relativistic heavy-ion collisions
• Perspectives in Small Systems : Heavy Quarks and HBT Radii
• In-medium Y(1S,2S,3S) suppression in Pb-Pb collisions at sqrt(s_NN)=5.02 TeV