Vacuum Quarkonium Spectroscopy and Heavy-Quark Transport in the QGP

We extend a previously constructed T-matrix approach in the quark-gluon plasma (QGP) to include the inverse mass (1/M) corrections, i.e. the spin-orbit, spin-spin and tensor forces, between partons. Based on the vacuum Cornell potential as the interaction kernel for the T-matrix equation, we first confirm that the experimental charmonium and bottomonium spectroscopy in vacuum are improved by employing a confining potential that is a mixture of vector and scalar potentials rather than a purely scalar one. We then apply the refined potential to calculate the in-medium single-parton spectral functions at finite temperature self-consistently, and constrained by various thermal lattice-QCD data. Finally, we study the in-medium charm quark transport coefficients at different temperatures. It turns out that the mixing effect for confining potential significantly enhances the friction coefficient, A(p), for charm quarks in the QGP over previous calculations with a purely scalar potential. Our results may have significant consequences for the microscopic description of heavy-flavor transport in heavy-ion collision at RHIC and the LHC.