Bottomonium suppression and elliptic flow using Heavy Quarkonium Quantum Dynamics

Abstract

We introduce a framework called Heavy Quarkonium Quantum Dynamics (HQQD) which can be used to compute the dynamical suppression of heavy quarkonia propagating in the quark-gluon plasma using real-time in-medium quantum evolution. Using HQQD we compute large sets of real-time solutions to the Schrödinger equation using a realistic in-medium complex-valued potential. We sample 2 million quarkonia wave packet trajectories and evolve them through the QGP using HQQD to obtain their survival probabilities. The computation is performed using three different HQQD model parameter sets in order to estimate our systematic uncertainty. After taking into account final state feed down we compare our results to existing experimental data for the suppression and elliptic flow of bottomonium states and find that HQQD predictions are good agreement with available data for RAA as a function of Npart and pT collected at $$ \sqrt{s_{\mathrm{NN}}} $$ s NN = 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, which now includes an estimate of the systematic error, is v2[ϒ(1s)] = 0.003 ± 0.0007 ±$$ {}_{0.0013}^{0.0006} $$ 0.0013 0.0006 . We also find that, due to their increased suppression, excited bottomonium states have a larger elliptic flow. Based on this observation we make predictions for v2[ϒ(2s)] and v2[ϒ(3s)] as a function of centrality and transverse momentum.

Fireball tomography from bottomonia elliptic flow in relativistic heavy-ion collisions

“…We found that our results for transverse-momentum dependence of bottomonia elliptic flow are in good agreement with experimental results from the ALICE and CMS collaborations. They also agree with recent calculations [55,56] simulating the real time quantum evolution of bottomonium states in the QGP, relaxing the assumption of an adiabatic evolution of the bb system [57]. Looking forward, one can anticipate greatly increased statistics in future runs from the experimental collaborations at LHC.…”

Bottomonium suppression in an open quantum system using the quantum trajectories method

“…Here, we follow refs. [15,16] and introduce a feed down matrix F which collects the known information about excited bottomonium state decays available from the Particle Data Group [94].…”

“…The imaginary part also leads to quarkonium dissociation, which turns out to happen at a temperature lower than the screening one [3][4][5][6], i.e., at least in weak coupling, quarkonium has already dissociated when reaching the screening temperature. Since then, many phenomenological studies solving the Schrödinger equation with a complex potential have appeared [7][8][9][10][11][12][13][14][15][16].…”

Bulk observables at 5.02 TeV using quasiparticle anisotropic hydrodynamics

“…Even prior to this manuscript the results of this tuning have been used, e.g. to study the nuclear modification factor R A A and elliptic flow v 2 of bottomonium states in 5.02 TeV Pb-Pb collisions [54,55].…”