Bottomonium production in heavy-ion collisions using quantum trajectories: Differential observables and momentum anisotropy

Brambilla, Nora; Escobedo, Miguel Ángel; Strickland, Michael; Vairo, Antonio; Griend, Peter Vander; Weber, Johannes Heinrich

doi:10.48550/arxiv.2107.06222

Cited by 6 publications

(11 citation statements)

References 73 publications

(135 reference statements)

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“…Since these early works, it has been shown that it is equally important to include effects of in-medium singlet-octet transitions and Landau damping of the exchanged gluons, which results in an imaginary contribution to the heavy-quark (HQ) potential [5][6][7][8][9][10][11][12][13][14]. These effects can be modelled systematically using numerical solutions of the Lindblad equation which governs the evolution of the in-medium heavy-quarkonium reduced density matrix [15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

“…One of the limitations of prior studies of the evolution of the heavy-quarkonium reduced density matrix is that they explicitly rely on an assumption of momentum-space isotropy. This assumption allows one to simplify the resulting dynamical evolution equations such that only solution of a one-dimensional Schrödinger equation (SE) subject to stochastic jumps is required [17]. This assumption can, however, not be made in a real-world quark-gluon plasma due to the rapid longitudinal expansion of the QGP and the existence of a finite relaxation time of the system.…”

Section: Introductionmentioning

confidence: 99%

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Effective Debye Screening Mass in an Anisotropic Quark Gluon Plasma

Dong,

Guo,

Islam

et al. 2021

Preprint

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Due to the rapid longitudinal expansion of the quark-gluon plasma created in heavy-ion collisions, large local-rest-frame momentum-space anisotropies are generated during the system's evolution. These momentum-space anisotropies complicate the modeling of heavy-quarkonium dynamics in the quark-gluon plasma due to the fact that the resulting inter-quark potentials are spatially anisotropic, requiring real-time solution of the 3D Schrödinger equation. Herein, we introduce a method for reducing anisotropic heavy-quark potentials to isotropic ones by introducing an effective screening mass that depends on the quantum numbers l and m of a given state. We demonstrate that, using the resulting effective Debye screening masses, one can solve a 1D Schrödinger equation and reproduce the full 3D results for the energies and binding energies of low-lying heavy-quarkonium bound states to relatively high accuracy. The resulting effective isotropic potential models could provide an efficient method for including momentum-anisotropy effects in open quantum system simulations of heavy-quarkonium dynamics in the quark-gluon plasma.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effective Debye Screening Mass in an Anisotropic Quark Gluon Plasma

Dong,

Guo,

Islam

et al. 2021

Preprint

Self Cite

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“…Our main assumptions are that the medium induced suppression can be described by a survival probability, the validity of the shadowing model discussed in [15], that the initial temperature scales like 1/4 of the initial energy density and that this quantity is dominated by the pions' contribution. We note that our method could in principle be used in combination with a Markovian quantum evolution of quarkonium in a medium (as that in the recent paper [37]) as long as recombination effects are ignored.…”

Section: Discussionmentioning

confidence: 97%

“…( 27) were chosen in an ad hoc way to qualitatively reproduce experimental results on R AA once shadowing effects are taken into account. A more precise, rigorous and state-of-theart application of the pNRQCD framework to the computation of R AA , ignoring shadowing effects, can be found in [30,37].…”

Section: Aamentioning

confidence: 99%

A simple model to include initial-state and hot-medium effects in the computation of quarkonium nuclear modification factor

Escobedo,

Ferreiro

2021

Preprint

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Quarkonium suppression is one of the more useful observables to obtain information about the hot medium created in ultrarelativistic heavy-ion collisions. In this manuscript, we discuss a simple way to implement both the initial-state effects and the hot-medium evolution, and to compute the quarkonium nuclear modification factor if the survival probability for a bound state at a given energy density is known. Based on the Glauber model, the temperature of the evolving medium and the centrality dependence of the nuclear modification factor will be analysed.

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“…Furthermore, transitions from color singlet to color octet states as well as transitions between different quarkonium states have to be taken into account. This picture can be related to QCD in different limits of coupling strength and quarkonium size in semi-classical transport approaches via Boltzmann [355,356] or Langevin equation allowing to treat multiple heavy-quark pairs [357], in Schrödinger equation approaches [358][359][360] and in open quantum system calculations using the Lindblad equation [361][362][363] 37 . A detailed review on the theory progress in the field can be found in [364].…”

Section: Quarkonium: Bound State Probes Of the Qgpmentioning

confidence: 99%

Heavy quarks and jets as probes of the QGP

Apolinário¹,

Lee²,

Winn³

2022

Preprint

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The Quark-Gluon Plasma (QGP), a QCD state of matter created in ultrarelativistic heavy-ion collisions, has remarkable properties as a low shear viscosity over entropy ratio. Through the detection of multi-particle production, the bulk debris of the collision, these so-called soft probes have provided quantitative insight into the created matter. However, its fast evolution and thermalization properties remain elusive to the soft sector. Only the usage of high momentum objects as probes of the QGP can unveil its constituents at the different wavelengths. In this review, we attempt to provide a comprehensive picture of what was, so far, possible to withdraw given our current theoretical understanding of jets, heavy-flavor, and quarkonia. We will bridge the resulting qualitative picture to the experimental observations done at both the LHC and RHIC. We will focus on the phenomenological description of experimental observations, provide a brief analytical summary of the description of hard probes, and an outlook towards the main difficulties we will need to surpass in the following years. To benchmark QGP-related effects, we will also address nuclear modifications to the initial state and hadronization effects.

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Bottomonium production in heavy-ion collisions using quantum trajectories: Differential observables and momentum anisotropy

Cited by 6 publications

References 73 publications

Effective Debye Screening Mass in an Anisotropic Quark Gluon Plasma

Effective Debye Screening Mass in an Anisotropic Quark Gluon Plasma

A simple model to include initial-state and hot-medium effects in the computation of quarkonium nuclear modification factor

Heavy quarks and jets as probes of the QGP

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