Heavy quarkonia in a baryon asymmetric strongly magnetized hot quark matter

TL;DR

This study investigates how small baryon asymmetry affects heavy quarkonium properties in a strongly magnetized hot quark matter, revealing increased stability and higher dissociation temperatures for quarkonia.

Contribution

It introduces a detailed analysis of baryon asymmetry effects on heavy quarkonia in magnetized hot quark matter, including modifications to the potential and dissociation points.

Findings

Baryon asymmetry makes the real part of the potential more attractive.

It weakens the imaginary part, reducing thermal widths.

Dissociation temperatures of $J/\psi$ and $\Upsilon$ increase with baryon chemical potential.

Abstract

Recently there is a resurrection in the study of heavy quark bound states in a hot and baryonless matter with an ambient magnetic field but the matter produced at heavy-ion collider experiments is not perfectly baryonless, so we wish to explore the effect of small baryon asymmetry on the properties of heavy quarkonia immersed in a strongly magnetized hot quark matter. Therefore, we have first revisited the structure of gluon self-energy tensor in the above environment to compute the resummed propagator for gluons. This resummed propagator embodies the properties of medium, which gets translated into the (complex) potential between $Q$ and $\bar Q$ placed in the medium. We observe that the baryon asymmetry makes the real-part of potential slightly more attractive and weakens the imaginary-part. This opposing effects thus lead to the enhancement of binding energies and the reduction of thermal widths of $Q \bar Q$ ground states, respectively. Finally, the properties of quarkonia thus deciphered facilitates to compute the dissociation points of $J/\psi$ and $\Upsilon$, which are found to have slightly larger values in the presence of baryon asymmetry. For example, $J/\psi$ is dissociated at $1.64~T_c$, $1.69~T_c$, and $1.75~T_c$, whereas $\Upsilon$ is dissociated at $1.95~T_c$, $1.97~T_c$ and $2.00 ~T_c$, for $\mu=0, 60$ and $ 100 $ MeV, respectively. This observation prevents early dissociation of quarkonia in the matter produced at ultrarelativistic heavy ion collisions with a small net baryon number, compared to the ideal baryonless matter.