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Quarkonium in a QCD medium with momentum-dependent relaxation time

Sunny Kumar Singh1,*, Samapan Bhadury2,†, Ritesh Ghosh3,‡, and Manu Kurian4,§

  • *Contact author: sunny.singh@iitgn.ac.in
  • †Contact author: bhadury.samapan@gmail.com
  • ‡Contact author: Ritesh.Ghosh@asu.edu
  • §Contact author: manukurian@iitism.ac.in
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Phys. Rev. D 112, 094056 – Published 26 November, 2025

DOI: https://doi.org/10.1103/rb44-j8p3

Abstract

In this paper, we explore the properties of quarkonia in a hot QCD medium using a newly proposed collision kernel that consistently incorporates the particle’s momentum dependence into the relaxation timescale of the medium. The longitudinal component of the gluon self-energy, along with the Debye screening mass, is computed within the one-loop hard thermal loop framework by incorporating nonequilibrium corrections. A modified kinetic theory with an extended relaxation time approximation is employed to model the nonequilibrium dynamics of the QCD medium. The sensitivity of the heavy quarkonia potential to the momentum dependence of the relaxation time is studied. Further, we studied the binding energy and thermal width of quarkonia states within this new kinetic theory. Sizable variations in the temperature behavior of these quantities are observed in comparison with the standard relaxation time approximation method due to the particle momentum dependence on the relaxation timescale of the QCD medium. Our findings highlight that accounting for the microscopic nature of the collision timescale is crucial for understanding the quarkonium behavior in a QCD medium.

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Phys. Rev. D 112, 094056– Published 26 November, 2025
  • Received 9 September 2025
  • Accepted 11 November 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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