Bottomonium suppression and elliptic flow from real-time quantum evolution

• Published in: Physics letters. B 2020-12, Vol.811 (C), p.135949, Article 135949
• Main Authors: Islam, Ajaharul, Strickland, Michael
• Format: Article
• Language: English
• Subjects: Bottomonium elliptic flow; Bottomonium suppression; Path-length dependent suppression; Quark-gluon plasma; Real-time quantum evolution
• ISSN: 0370-2693; 1873-2445
• DOI: 10.1016/j.physletb.2020.135949

We compute the suppression and elliptic flow of bottomonium using real-time solutions to the Schrödinger equation with a realistic in-medium complex-valued potential. To model the initial production, we assume that, in the limit of heavy quark masses, the wave-function can be described by a lattice-smeared (Gaussian) Dirac delta wave-function. The resulting final-state quantum-mechanical overlaps provide the survival probability of all bottomonium eigenstates. Our results are in good agreement with available data for RAA as a function of Npart and pT collected at sNN=5.02 TeV. In the case of v2 for the various states, we find that the path-length dependence of ϒ(1s) suppression results in quite small v2 for ϒ(1s). Our prediction for the integrated elliptic flow for ϒ(1s) in the 10−90% centrality class is v2[ϒ(1s)]=0.0026±0.0007. We additionally find that, due to their increased suppression, excited bottomonium states have a larger elliptic flow and we make predictions for v2[ϒ(2s)] and v2[ϒ(3s)] as a function of centrality and transverse momentum. Similar to prior studies, we find that it is possible for bottomonium states to have negative v2 at low transverse momentum.