Abstract
We compute for the first time the suppression of bottomonia in a strongly coupled quark-gluon plasma (QGP) and compare the results to those from a weakly coupled QGP. Using imaginary time techniques we numerically determine the real and imaginary parts of the ground-state binding energy of the bottomonia in one potential computed from anti--de Sitter space/conformal field theory (AdS/CFT) and another computed from perturbative quantum chromodynamics. We confirm the strong-coupling binding energies by independently deriving the meson spectrum in AdS/CFT using semiclassical, rotating open strings. We then use these binding energies in a suppression model to determine the $\mathrm{\ensuremath{\Upsilon}}$(1S) nuclear modification factor in ${\sqrt{s}}_{NN}=2.76$-TeV $\mathrm{Pb}+\mathrm{Pb}$ collisions. AdS/CFT significantly overpredicts the suppression compared to data, although the predictive power of our calculation is limited by its significant sensitivity to the exact details of the suppression model.
Highlights
There is abundant evidence that high-multiplicity collisions at the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC) yield qualitatively new physics never before seen at previous colliding energies [1,2,3,4,5,6,7]
The binding energy found from our adapted methodology for the perturbative quantum chromodynamics (pQCD) potential, Eq (1) and (3), differs quantitatively from that presented in Ref. [79], which was used in Krouppa et al [71] to calculate suppression
In the case of Υ(1S), this difference does not change the qualitative behavior of the quarkonia, since both results suggest that the quarkonia remain bound up to at least T = 3 Tc
Summary
There is abundant evidence that high-multiplicity collisions at the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC) yield qualitatively new physics never before seen at previous colliding energies [1,2,3,4,5,6,7]. [48] was the use of potential models to describe the interaction of the quark and antiquark in the qqpair to calculate the suppression of quarkonia spectra in heavy-ion collisions. The thermal width of the state increases with temperature T , suggesting that at high T the dissociation due to the effect described by the imaginary part of the potential occurs before color screening can even come into effect Physical interpretations of this damping were provided by Refs. The potential for static heavy quarkonia at finite temperature in N = 4 super Yang-Mills (SYM) theory was calculated via the methods of AdS/CFT in Refs. [61] for strongly coupled quarkonia
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