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Title: Quarkonium in-medium transport equation derived from first principles

Abstract

We use the open quantum system formalism to study the dynamical in-medium evolution of quarkonium. The system of quarkonium is described by potential nonrelativistic QCD while the environment is a weakly coupled quark-gluon plasma in local thermal equilibrium below the melting temperature of the quarkonium. Under the Markovian approximation, it is shown that the Lindblad equation leads to a Boltzmann transport equation if a Wigner transform is applied to the system density matrix. Our derivation illuminates how the microscopic time reversibility of QCD is consistent with the time-irreversible in-medium evolution of quarkonium states. Static screening, dissociation, and recombination of quarkonium are treated in the same theoretical framework. In addition, quarkonium annihilation is included in a similar way, although the effect is negligible for the phenomenology of the current heavy ion collision experiments. The methods used here can be extended to study quarkonium dynamical evolution inside a strongly coupled QGP, a hot medium out of equilibrium, or cold nuclear matter, which is important to studying quarkonium production in heavy ion, proton-ion, and electron-ion collisions.

Authors:
;
Publication Date:
Research Org.:
Duke Univ., Durham, NC (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1523685
Alternate Identifier(s):
OSTI ID: 1609635
Grant/Contract Number:  
FG02-05ER41367; FG02-05ER41368
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; astronomy & astrophysics; physics; nonrelativistic QCD; open quantum systems; quark-gluon plasma; relativistic heavy-ion collisions; transport phenomena; quarkonia; Markovian processes; perturbative methods

Citation Formats

Yao, Xiaojun, and Mehen, Thomas. Quarkonium in-medium transport equation derived from first principles. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.99.096028.
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Yao, Xiaojun, & Mehen, Thomas. Quarkonium in-medium transport equation derived from first principles. United States. https://doi.org/10.1103/PhysRevD.99.096028
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Yao, Xiaojun, and Mehen, Thomas. Fri . "Quarkonium in-medium transport equation derived from first principles". United States. https://doi.org/10.1103/PhysRevD.99.096028.
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@article{osti_1523685,
title = {Quarkonium in-medium transport equation derived from first principles},
author = {Yao, Xiaojun and Mehen, Thomas},
abstractNote = {We use the open quantum system formalism to study the dynamical in-medium evolution of quarkonium. The system of quarkonium is described by potential nonrelativistic QCD while the environment is a weakly coupled quark-gluon plasma in local thermal equilibrium below the melting temperature of the quarkonium. Under the Markovian approximation, it is shown that the Lindblad equation leads to a Boltzmann transport equation if a Wigner transform is applied to the system density matrix. Our derivation illuminates how the microscopic time reversibility of QCD is consistent with the time-irreversible in-medium evolution of quarkonium states. Static screening, dissociation, and recombination of quarkonium are treated in the same theoretical framework. In addition, quarkonium annihilation is included in a similar way, although the effect is negligible for the phenomenology of the current heavy ion collision experiments. The methods used here can be extended to study quarkonium dynamical evolution inside a strongly coupled QGP, a hot medium out of equilibrium, or cold nuclear matter, which is important to studying quarkonium production in heavy ion, proton-ion, and electron-ion collisions.},
doi = {10.1103/PhysRevD.99.096028},
journal = {Physical Review D},
number = 9,
volume = 99,
place = {United States},
year = {2019},
month = {5}
}
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https://doi.org/10.1103/PhysRevD.99.096028
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