Heavy quark complex potential in a strongly magnetized hot QGP medium

Abstract

We study the effect of a strong constant magnetic field, generated in relativistic heavy ion collisions, on the heavy quark complex potential. We work in the strong magnetic field limit with the lowest Landau level approximation. We find that the screening of the real part of the potential increases with the increase in the magnetic field. Therefore, we expect less binding of the $Q\bar{Q}$ pair in the presence of a strong magnetic field. The imaginary part of the potential increases in magnitude with the increase in the magnetic field, leading to an increase of the width of the quarkonium state with the magnetic field. All of these effects result in the early dissociation of $Q\bar{Q}$ states in a magnetized hot quark-gluon plasma medium.

17 pages, 6 figures

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• Dynamics of in-medium quarkonia in SU(3) and SU(2) gauge theories
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• Quarkonium radiative decays from the hadronic Paschen-Back effect
• Energy loss of heavy quarks in the presence of magnetic field
• Resummed Gluon Propagator and Debye Screening Effect in a Holonomous Plasma
• Spectral functions of heavy quarkonia in a bulk-viscous quark gluon plasma
• Survival probabilities of charmonia as a clue to measure transient magnetic fields
• Heavy quarkonia in QGP medium in an arbitrary magnetic field
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• Collective modes of gluons in an anisotropic thermo-magnetic medium
• Relativistic dynamics of charmonia in strong magnetic fields
• Structure of heavy quarkonia in a strong magnetic field
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• Nonperturbative heavy quark diffusion coefficients in a weakly magnetized thermal QCD medium
• Electromagnetic Debye mass within Gribov-Zwanziger action
• Probing Quarkonium Diffusion in a Magnetized Quark-Gluon Plasma
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
• Landau-Zener-Stückelberg-Majorana dynamics of magnetized quarkonia
• Quarkonium spectra with magnetically induced anisotropic confinement
• Shear Viscosity of hadronic matter at finite temperature and magnetic field