Charmonium spectroscopy with optimal distillation profiles

Abstract

We use the method of optimal distillation profiles to compute the low-lying charmonium spectrum in an $N_f=3+1$ ensemble at the $SU(3)$ light flavor symmetric point ($m_{\pi }\approx 420$ MeV), physical charm quark mass and lattice spacing $a\approx 0.0429$ fm. The spectrum and mass splittings display good agreement with their values in nature and the statistical errors are comparable, if not smaller, than those of state-of-the-art lattice calculations. We also present first results on the mixing of charmonium with glueballs and light hadrons obtained in a similar $N_f=3+1$ ensemble but at larger pion mass.

Comments: 10 pages, 7 figures. Proceedings of the 40th International Symposium on Lattice Field Theory (Lattice 2023), Fermilab, 2023. Added a reference, corrected a typo and modified legend of figure 5