Excited and exotic charmonium, $D_s$ and $D$ meson spectra for two light quark masses from lattice QCD

Abstract

We present highly-excited charmonium, $D_s$ and $D$ meson spectra from dynamical lattice QCD calculations with light quarks corresponding to $M_{\pi }\sim 240$ MeV and compare these to previous results with $M_{\pi }\sim 400$ MeV. Utilising the distillation framework, large bases of carefully constructed interpolating operators and a variational procedure, we extract and reliably identify the continuum spin of an extensive set of excited mesons. These include states with exotic quantum numbers which, along with a number with non-exotic quantum numbers, we identify as having excited gluonic degrees of freedom and interpret as hybrid mesons. Comparing the spectra at the two different $M_{\pi }$, we find only a mild light-quark mass dependence and no change in the overall pattern of states.

Comments: 21 pages, 8 figures, minor changes to reflect published version