Thermalization of Bottomonium in the Quark-Gluon Plasma

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Auteurs principaux: Brambilla, Nora, Magorsch, Tom, Vairo, Antonio
Format: Preprint
Publié: 2025
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author Brambilla, Nora
Magorsch, Tom
Vairo, Antonio
author_facet Brambilla, Nora
Magorsch, Tom
Vairo, Antonio
contents We study the approach to equilibrium of bottomonium in the quark-gluon plasma within the open quantum system framework. We perform large-scale simulations of the long-time behavior in three dimensions using the quantum trajectory method to observe the emergence of steady states and determine the timescale of thermalization in position-, angular-momentum-, and color-space. We find that the thermalization timescale increases with decreasing temperature and decreasing coupling to the medium, which is given by transport coefficients of the medium. Additionally, we observe that the steady states exhibit small corrections to the Gibbs state due to medium interactions and show that these corrections diminish for weaker medium coupling and higher temperature. At a temperature of $450\,$MeV, quarkonium relaxes to a state that is approximately thermal, with the most significant correction being a smaller overlap of the $1S$ state with respect to the Gibbs state. We compare these findings with the master equation obtained at leading order in the expansion of the binding energy over the temperature, which we find to have a trivial steady state.
format Preprint
id arxiv_https___arxiv_org_abs_2508_11743
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Thermalization of Bottomonium in the Quark-Gluon Plasma
Brambilla, Nora
Magorsch, Tom
Vairo, Antonio
High Energy Physics - Phenomenology
Nuclear Experiment
Nuclear Theory
We study the approach to equilibrium of bottomonium in the quark-gluon plasma within the open quantum system framework. We perform large-scale simulations of the long-time behavior in three dimensions using the quantum trajectory method to observe the emergence of steady states and determine the timescale of thermalization in position-, angular-momentum-, and color-space. We find that the thermalization timescale increases with decreasing temperature and decreasing coupling to the medium, which is given by transport coefficients of the medium. Additionally, we observe that the steady states exhibit small corrections to the Gibbs state due to medium interactions and show that these corrections diminish for weaker medium coupling and higher temperature. At a temperature of $450\,$MeV, quarkonium relaxes to a state that is approximately thermal, with the most significant correction being a smaller overlap of the $1S$ state with respect to the Gibbs state. We compare these findings with the master equation obtained at leading order in the expansion of the binding energy over the temperature, which we find to have a trivial steady state.
title Thermalization of Bottomonium in the Quark-Gluon Plasma
topic High Energy Physics - Phenomenology
Nuclear Experiment
Nuclear Theory
url https://arxiv.org/abs/2508.11743