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Bottomonium suppression at RHIC and LHC in an open quantum system approach

Michael Strickland, Sabin Thapa

Abstract

We present potential non-relativistic quantum chromodynamics (pNRQCD) predictions for bottomonium suppression in sqrt(sNN) = 200 GeV, 2.76 TeV, and 5.02 TeV heavy-ion collisions using an open quantum systems (OQS) description of the reduced heavy-quark anti-quark density matrix. Compared to prior OQS+pNRQCD studies we include the rapidity dependence of bottomonium production and evolution, allowing for a fully 3-dimensional description of bottomonium trajectories in the quark-gluon plasma. The underlying formalism used to compute the ground and excited state survival probabilities is based on a Lindblad equation that is accurate to next-to-leading order (NLO) in the binding energy over temperature. For the background evolution, we make use of a 3+1D viscous hydrodynamics code which reproduces soft hadron observables at all three collision energies. We find good agreement between NLO OQS+pNRQCD predictions and data taken at LHC energies, however, at RHIC energies, there is tension with recent bottomonium suppression measurements by the STAR collaboration.

Bottomonium suppression at RHIC and LHC in an open quantum system approach

Abstract

We present potential non-relativistic quantum chromodynamics (pNRQCD) predictions for bottomonium suppression in sqrt(sNN) = 200 GeV, 2.76 TeV, and 5.02 TeV heavy-ion collisions using an open quantum systems (OQS) description of the reduced heavy-quark anti-quark density matrix. Compared to prior OQS+pNRQCD studies we include the rapidity dependence of bottomonium production and evolution, allowing for a fully 3-dimensional description of bottomonium trajectories in the quark-gluon plasma. The underlying formalism used to compute the ground and excited state survival probabilities is based on a Lindblad equation that is accurate to next-to-leading order (NLO) in the binding energy over temperature. For the background evolution, we make use of a 3+1D viscous hydrodynamics code which reproduces soft hadron observables at all three collision energies. We find good agreement between NLO OQS+pNRQCD predictions and data taken at LHC energies, however, at RHIC energies, there is tension with recent bottomonium suppression measurements by the STAR collaboration.
Paper Structure (12 sections, 13 equations, 13 figures)

This paper contains 12 sections, 13 equations, 13 figures.

Figures (13)

  • Figure 1: QTraj predictions for $R_{AA}$ as a function of $N_{\rm part}$ in 5.02 TeV Pb-Pb collisions. The experimental data shown are from the ALICE Acharya:2020kls, ATLAS ATLAS:2022xso, and CMS CMS:2018zzaCMS:2023lfu collaborations. The lighter shaded bands indicate the uncertainty associated with the choice of $\hat{\kappa}$ and the darker shaded bands on each boundary indicate the statistical uncertainty associated with the average over bottomonium trajectories.
  • Figure 2: QTraj predictions for the 2S to 1S double ratio as a function of $N_{\rm part}$ in 5.02 TeV Pb-Pb collisions. Line styles and experimental data sources are the same as in Fig. \ref{['fig:raavsnpart-lhc-3d']}.
  • Figure 3: QTraj predictions for the 3S to 1S double ratio as a function of $N_{\rm part}$ in 5.02 TeV Pb-Pb collisions. Line styles and experimental data sources are the same as in Fig. \ref{['fig:raavsnpart-lhc-3d']}.
  • Figure 4: QTraj predictions for $R_{AA}$ as a function of $p_T$ in 5.02 TeV Pb-Pb collisions. Line styles and experimental data sources are the same as in Fig. \ref{['fig:raavsnpart-lhc-3d']}.
  • Figure 5: QTraj predictions for the 2S to 1S double ratio as a function of $p_T$ in 5.02 TeV Pb-Pb collisions. Line styles and experimental data sources are the same as in Fig. \ref{['fig:raavsnpart-lhc-3d']}.
  • ...and 8 more figures