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Medium-induced quarkonium dissociation at finite chemical potential and in a weak magnetic field

Indrani Nilima4,*, Mujeeb Hasan1,†, Mohammad Yousuf Jamal2,‡, Salman Ahamad Khan3,§, and B. K. Singh4,5,∥

  • *Contact author: nilima.ism@gmail.com
  • †Contact author: mhasan@lords.ac.in
  • ‡Contact author: yousufjml5@gmail.com
  • §Contact author: salmankhan.dx786@gmail.com
  • ∥Contact author: bksingh@bhu.ac.in
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Phys. Rev. D 113, 074035 – Published 29 April, 2026

DOI: https://doi.org/10.1103/zrfm-z9gc

Abstract

We investigate the in-medium modification and dissociation of heavy quarkonium in a hot QCD medium at finite quark chemical potential and in the weak magnetic-field regime. Starting from the one-loop resummed gluon propagator in the imaginary-time formalism, and incorporating nonperturbative effects through a phenomenological correction to the hard thermal loop description, we compute the real and imaginary parts of the dielectric permittivity. This, in turn, leads to a complex heavy-quark potential: The real part is used to determine binding energies by solving the nonrelativistic Schrödinger equation, while the imaginary part generates thermal decay widths dominated by Landau damping. Within the explored parameter range, the temperature has the greatest control over Debye screening, potential modification, and quarkonium stability, whereas finite density and weak magnetic fields introduce comparatively smaller quantitative changes. As the temperature increases, binding energies decrease and thermal widths grow, giving rise to the expected hierarchy between ground and excited states and a sequential suppression pattern in the dissociation temperatures. Overall, our results indicate that while finite chemical potential and weak magnetic fields can shift quarkonium properties in a measurable way, thermal effects remain the primary driver of dissociation, with direct relevance for heavy-ion collision phenomenology.

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Phys. Rev. D 113, 074035– Published 29 April, 2026
  • Received 15 January 2026
  • Accepted 10 April 2026
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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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