$R^2$ corrections to holographic heavy meson dissociation

Abstract

In this paper, we investigate the $R^2$ corrections to the dissociation of heavy quarkonium in the Gauss-Bonnet gravitational background. We analyze the impact of Gauss-Bonnet parameter $\lambda_{GB}$ on the spectral function of charmonium and bottomonium, and examine how $\lambda_{GB}$ affects the dissociation of heavy quarkonium. Our results show that $\lambda_{GB}$ reduces the peak height and increases the peak width of the spectral function, suggesting that $\lambda_{GB}$ enhances the dissociation of heavy quarkonium. We also discuss how the dissociation of heavy quarkonium varies with the ratio of shear viscosity to entropy density and find the dissociation will be easier in more perfect plasma. Additionally, we observe that the temperature decreases the peak height and widens the peak, thereby accelerating the dissociation.