Charmonium and charmed meson spectroscopy from lattice QCD

Spectra of highly excited hidden and open-charm mesons calculated on dynamical lattice QCD ensembles with a pion mass of M$_{π}$ $\sim$ 240 MeV are presented and compared to previous results obtained on a lattice where M$_{π}$ $\sim$ 400 MeV. The distillation technique was employed in order to compute the necessary correlation functions, allowing the use of a large basis of interpolating operators with various spatial structures. This basis included operators proportional to the gluonic field strength, allowing the identification of possible hybrid states. We conclude that reducing the light quark mass has little effect on the overall pattern and structure of the spectra.GC is supported by the Cambridge European Trust, the U.K. Science and Technology Facilities Council (STFC) and St John’s College, Cambridge. COH acknowledges support from the School of Mathematics at Trinity College Dublin. GM acknowledges support the Herchel Smith Fund at the University of Cambridge. SMR acknowledges support from Science Foundation Ireland [RFP-PHY-3201]. CET acknowledges support from the STFC [grant ST/L000385/1]. DT is supported by the Irish Research Council Government of Ireland Postgraduate Scholarship Scheme [grant GOIPG/2014/65]