Transport coefficients of heavy quarkonia comparing with heavy quark coefficients

TL;DR

This paper analyzes the transport coefficients of heavy quarkonia in high-temperature QCD plasmas, comparing them with those of heavy quarks to understand their thermal properties and behavior.

Contribution

It introduces a detailed comparison of heavy quarkonia and heavy quark transport coefficients, including thermal width and mass shifts, using effective vertices and gluon channels.

Findings

Thermal width of quarkonia is determined by the longitudinal gluon self-energy.

Mass shifts are related to the dispersive part of the heavy quark momentum diffusion.

Comparison shows similarities and differences in damping rates and mass shifts between quarkonia and heavy quarks.

Abstract

We revisit the transport coefficients of heavy quarkonia moving in high-temperature QCD plasmas. The thermal width and mass shift for heavy quarkonia are closely related to the momentum diffusion coefficient and its dispersive counterpart for heavy quarks, respectively. For quarkonium at rest in plasmas the longitudinal gluon part of the color-singlet self-energy diagram is sufficient to determine the leading-order thermal width, whereas the momentum dependence is obtained from the transverse gluon channel. Using the quarkonium-gluon effective vertex based on the dipole interaction of color charges, we discuss the damping rate, the effective rest and kinetic mass shifts of slowly moving quarkonia and compare with the corresponding coefficients of heavy quarks.