A first look at Bottomonium melting via a stochastic potential

Rothkopf, Alexander

doi:10.1007/jhep04(2014)085

Cited by 33 publications

(18 citation statements)

References 91 publications

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“…Studies of bottomonium in perturbative pNRQCD have shown however that the imaginary part contains both contributions from gluodissociation and Landau damping, which leads to the excitation of bottomonium states without decay of the QQ pair. Eventually we will need to understand how to disentangle these two contributions, since the latter, as shown in exploratory studies in the context of open-quantum systems [80,81] leads to a weaker suppression. That is, our inability to disentangle the underlying mechanisms of the imaginary part has led us to assign it fully to a loss channel which may overestimate the actual suppression.…”

Section: Discussionmentioning

confidence: 99%

“…Recent developments in this field include a formulation of a Lindblad type coupled dynamics for color singlet and octet degrees of freedom [83][84][85], which has been evaluated in a perturbative setting in [86]. A first attempt to describe bottomonium dynamics was presented in [80], however, the medium evolution used in this paper was not yet realistic.…”

Section: Discussionmentioning

confidence: 99%

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Bottomonium suppression using a lattice QCD vetted potential

2018

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We estimate bottomonium yields in relativistic heavy-ion collisions using a lattice QCD vetted, complex-valued, heavy-quark potential embedded in a realistic, hydrodynamically evolving medium background. We find that the lattice-vetted functional form and temperature dependence of the proper heavy-quark potential dramatically reduces the dependence of the yields on parameters other than the temperature evolution, strengthening the picture of bottomonium as QGP thermometer. Our results also show improved agreement between computed yields and experimental data produced in RHIC 200 GeV=nucleon collisions. For LHC 2.76 TeV=nucleon collisions, the excited states, whose suppression has been used as a vital sign for quark-gluon-plasma production in a heavy-ion collision, are reproduced better than previous perturbatively-motivated potential models; however, at the highest LHC energies our estimates for bottomonium suppression begin to underestimate the data. Possible paths to remedy this situation are discussed.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Bottomonium suppression using a lattice QCD vetted potential

2018

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“…This allowed us to extract the survival probability associated with the thermal-noise averaged quantum wave-function, however, does not fully take into account in-medium transitions between different singlet/octet and angular momentum states. There is currently ongoing work to include true stochastic noise at the level of the real-time Schrödinger equation solution, either through explicit noisy potentials [26,27,31,[84][85][86][87][88] or through solution of the Lindblad equation for the reduced density matrix [28,30,[32][33][34]. Preliminary results obtained using the quantum trajectories method to solve the Lindblad equation indicate that more accurate inclusion of noise effects including, e.g., in-medium singlet-octet transitions, will result in only small changes in R AA [Υ(1s)] [89].…”

Section: Jhep03(2021)235mentioning

confidence: 99%

Bottomonium suppression and elliptic flow using Heavy Quarkonium Quantum Dynamics

Islam

Strickland

2021

J. High Energ. Phys.

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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.

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“…9 The lattice in-medium potential can also be used to setup a description of the realtime evolution of the heavy quarkonium wave function at finite temperature in the context of open quantum systems. An approach based on a stochastic potential [26][27][28][29] appears promising, where a purely real potential, given by Re[V] is randomly perturbed at each time step by noise of strength related to Im [V]. If developed further it promises to provide vital and phenomenologically relevant information on e.g.…”

Section: Jhep12(2015)101mentioning

confidence: 99%

Quarkonium at finite temperature: towards realistic phenomenology from first principles

Burnier

Kaczmarek

Rothkopf

2015

J. High Energ. Phys.

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136

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We present the finite temperature spectra of both bottomonium and charmonium, obtained from a consistent lattice QCD based potential picture. Starting point is the complex in-medium potential extracted on full QCD lattices with dynamical u,d and s quarks, generated by the HotQCD collaboration. Using the generalized Gauss law approach, vetted in a previous study on quenched QCD, we fit Re[V ] with a single temperature dependent parameter m D , the Debye screening mass, and confirm the up to now tentative values of Im [V ]. The obtained analytic expression for the complex potential allows us to compute quarkonium spectral functions by solving an appropriate Schrödinger equation. These spectra exhibit thermal widths, which are free from the resolution artifacts that plague direct reconstructions from Euclidean correlators using Bayesian methods. In the present adiabatic setting, we find clear evidence for sequential melting and derive melting temperatures for the different bound states. Quarkonium is gradually weakened by both screening (Re [V ]) and scattering (Im[V ]) effects that in combination lead to a shift of their in-medium spectral features to smaller frequencies, contrary to the mass gain of elementary particles at finite temperature.

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A first look at Bottomonium melting via a stochastic potential

Cited by 33 publications

References 91 publications

Bottomonium suppression using a lattice QCD vetted potential

Bottomonium suppression using a lattice QCD vetted potential

Bottomonium suppression and elliptic flow using Heavy Quarkonium Quantum Dynamics

Quarkonium at finite temperature: towards realistic phenomenology from first principles

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