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

Abstract: In this study, we investigate the imaginary potential and thermal width of heavy quarkonium in the spinning black hole background. Using a holographic approach, we systematically analyze how angular momentum influences these quantities. Our results reveal that increasing angular momentum causes the imaginary potential to emerge at smaller interquark distances, suggesting that angular momentum accelerates quarkonium melting. Furthermore, we find that angular momentum enhances the thermal width, indicating greater instability of the bound state at higher angular momentum. Notably, we observe that the effect of angular momentum on quarkonium dissociation is more pronounced when the axis of the quark-antiquark pair is transverse to the direction of angular momentum.