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.
Highlights
Relativistic heavy-ion collisions (RHIC) at Brookhevan and LHC at CERN provide a lot of information regarding the deconfined state of matter known as quark-gluon plasma (QGP)
We demonstrate the effect of a strong homogeneous magnetic field on the Debye screening and Landau damping induced thermal width obtained from the imaginary part of the quark-antiquark potential
In this work we have studied the effect of a strong magnetic field on the heavy quark complex potential in a thermal QGP medium
Summary
Relativistic heavy-ion collisions (RHIC) at Brookhevan and LHC at CERN provide a lot of information regarding the deconfined state of matter known as quark-gluon plasma (QGP). In order to incorporate the magnetic field effect in the heavy quark potential we first calculate the fermionic contribution to the gluon self-energy in the presence of magnetic field in imaginary time formalism by using the Schwinger propagator [64] and calculate the Debye screening mass. We demonstrate the effect of a strong homogeneous magnetic field on the Debye screening and Landau damping induced thermal width obtained from the imaginary part of the quark-antiquark potential. In the medium, both the perturbative (Coulombic) and nonperturbative (string) part of the heavy quark potential get modified.
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