Thermal quarkonium physics in the pseudoscalar channel
Y. Burnier (Gymnase de Renens, Av. du Silo 1, Renens, CH-1020, Switzerland); H.T. Ding (Key Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan, 430079, China); O. Kaczmarek (Key Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan, 430079, China, Fakultät für Physik, Universität Bielefeld, Bielefeld, 33615, Germany); A.L. Kruse (Fakultät für Physik, Universität Bielefeld, Bielefeld, 33615, Germany); M. Laine (AEC, ITP, University of Bern, Sidlerstrasse 5, Bern, CH-3012, Switzerland); et al - Show all 7 authors
The pseudoscalar correlator is an ideal lattice probe for thermal modifications to quarkonium spectra, given that it is not compromised by a contribution from a large transport peak. We construct a perturbative spectral function incorporating resummed thermal effects around the threshold and vacuum asymptotics above the threshold, and compare the corresponding imaginary-time correlators with continuum-extrapolated lattice data for quenched SU(3) at several temperatures. Modest differences are observed, which may originate from non-perturbative mass shifts or renormalization factors, however no resonance peaks are needed for describing the quenched lattice data for charmonium at and above T ∼ 1.1T c ∼ 350 MeV. For comparison, in the bottomonium case a good description of the lattice data is obtained with a spectral function containing a single thermally broadened resonance peak.
