Imaginary potential and thermal width in the spinning black hole background from holography

TL;DR

This paper uses holography to study how a rotating black hole background affects the imaginary potential and thermal width of heavy quarkonium, revealing that increased boost accelerates quarkonium melting and enhances instability.

Contribution

It systematically analyzes the influence of the boost parameter on quarkonium dissociation in a rotating black hole background using holographic methods, highlighting new effects of rotation.

Findings

Boost parameter causes imaginary potential to appear at smaller interquark distances.

Boost increases the thermal width, indicating greater quarkonium instability.

Effect of boost is more significant when quark-antiquark axis is transverse to the boost direction.

Abstract

In this study, we investigate the imaginary potential of heavy quarkonium in the spinning black hole background. Then we estimate the thermal width, which is determined by the imaginary part of the finite temperature potential. In the ultra-local description, the boosted fluid represents a globally rotating fluid. Using a holographic approach, we systematically analyze how boost parameter influences these quantities. Our results reveal that increasing boost parameter causes the imaginary potential to emerge at smaller interquark distances, suggesting that boost parameter accelerates quarkonium melting. Furthermore, we find that boost parameter enhances the thermal width, indicating greater instability of the bound state at higher boost parameter. Notably, we observe that the effect of boost parameter on quarkonium dissociation is more pronounced when the axis of the quark-antiquark pair is transverse to the direction of boost parameter.