Heavy quarkonium in any channel in resummed hot QCD

Abstract

We elaborate on the fact that quarkonium in hot QCD should not be thought of as a stationary bound state in a temperature-dependent real potential, but as a short-lived transient, with an exponentially decaying wave function. The reason is the existence of an imaginary part in the pertinent static potential, signalling the ``disappearance'', due to inelastic scatterings with hard particles in the plasma, of the off-shell gluons that bind the quarks together. By solving the corresponding Schrödinger equation, we estimate numerically the near-threshold spectral functions in scalar, pseudoscalar, vector and axial vector channels, as a function of the temperature and of the heavy quark mass. In particular, we point out a subtlety in the determination of the scalar channel spectral function and, resolving it to the best of our understanding, suggest that at least in the bottomonium case, a resonance peak can be observed also in the scalar channel, even though it is strongly suppressed with respect to the peak in the vector channel. Finally, we plot the physical dilepton production rate, stressing that despite the eventual disappearance of the resonance peak from the corresponding spectral function, the quarkonium contribution to the dilepton rate becomes more pronounced with increasing temperature, because of the yield from free heavy quarks.

32 pages. v2: small clarifications and updates; published version

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• Heavy quark potential in quark-gluon Plasma: Deep neural network meets lattice quantum chromodynamics
• Towards the Gravity Dual of Quarkonium in the Strongly Coupled QCD Plasma
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• Heavy quarkonium moving in hot and dense deconfined nuclear matter
• Static quark anti-quark pair in SU(2) gauge theory
• Quarkonium propagation in the quark gluon plasma
• Intermediate distance correlators in hot Yang-Mills theory
• The spin-orbit potential and Poincaré invariance in finite temperature pNRQCD
• Non-zero temperature study of spin 1/2 charmed baryons using lattice gauge theory
• Heavy quarkonia in QGP medium in an arbitrary magnetic field
• Spectral functions of heavy quarkonia in a bulk-viscous quark gluon plasma
• Quarkonium Phenomenology from a Generalised Gauss Law
• Finite Temperature Quarkonia Spectral Functions in the Pseudoscalar Channel
• Quark-Gluon Plasma: from lattice simulations to experimental results
• Quarkonium in a QCD medium with momentum-dependent relaxation time
• Bottomonium in the plasma: lattice results
• Sparse modeling study of extracting charmonium spectral functions from lattice QCD at finite temperature