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Quarkonium in-medium transport equation derived from first principles

Publication ,  Journal Article
Yao, X; Mehen, T
Published in: Physical Review D
May 1, 2019

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.

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Published In

Physical Review D

DOI

EISSN

2470-0029

ISSN

2470-0010

Publication Date

May 1, 2019

Volume

99

Issue

9
 

Citation

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Yao, X., & Mehen, T. (2019). Quarkonium in-medium transport equation derived from first principles. Physical Review D, 99(9). https://doi.org/10.1103/PhysRevD.99.096028
Yao, X., and T. Mehen. “Quarkonium in-medium transport equation derived from first principles.” Physical Review D 99, no. 9 (May 1, 2019). https://doi.org/10.1103/PhysRevD.99.096028.
Yao X, Mehen T. Quarkonium in-medium transport equation derived from first principles. Physical Review D. 2019 May 1;99(9).
Yao, X., and T. Mehen. “Quarkonium in-medium transport equation derived from first principles.” Physical Review D, vol. 99, no. 9, May 2019. Scopus, doi:10.1103/PhysRevD.99.096028.
Yao X, Mehen T. Quarkonium in-medium transport equation derived from first principles. Physical Review D. 2019 May 1;99(9).

Published In

Physical Review D

DOI

EISSN

2470-0029

ISSN

2470-0010

Publication Date

May 1, 2019

Volume

99

Issue

9