Heavy quarkonium spectral function in the spinning black hole background

TL;DR

This study investigates how angular momentum in a spinning black hole background influences the spectral functions and dissociation of heavy quarkonium states like charmonium and bottomonium, revealing directional effects and the role of temperature.

Contribution

It introduces an analysis of heavy quarkonium spectral functions in spinning black hole backgrounds, highlighting the impact of angular momentum on dissociation processes.

Findings

Angular momentum decreases spectral peak height.

Angular momentum broadens spectral peaks.

Dissociation is stronger in the transverse orientation.

Abstract

In this paper, we study the dissociation of heavy quarkonium in the spinning black hole background. Specifically, we analyze the spectral function of charmonium and bottomonium in the spinning black hole background and examine how the angular momentum affects the dissociation of $J/\Psi$ and $\Upsilon(1S)$. From the results, we find that the angular momentum and temperature decreases the peak height and expands the peak width of the spectral function, thereby enhancing the dissociation of heavy vector mesons. Moreover, the angular momentum has a stronger dissociation effect in the transverse orientation, revealing the directional influence of angular momentum.