Excited and exotic charmonium spectroscopy from lattice QCD

Abstract

We present a spectrum of highly excited charmonium mesons up to around 4.5 GeV calculated using dynamical lattice QCD. Employing novel computational techniques and the variational method with a large basis of carefully constructed operators, we extract and reliably identify the continuum spin of an extensive set of excited states, states with exotic quantum numbers (0+-, 1-+, 2+-) and states with high spin. Calculations are performed on two lattice volumes with pion mass approximately 400 MeV and the mass determinations have high statistical precision even for excited states. We discuss the results in light of experimental observations, identify the lightest 'supermultiplet' of hybrid mesons and comment on the phenomenological implications of the spectrum of exotic mesons.

33 pages, 17 figures; v2: minor changes to reflect published version

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• Anisotropy tuning with the Wilson flow
• $J^{PC}=1^{++}$ heavy hybrid masses from QCD sum-rules
• Charmonium mass splittings at the physical point
• Excited $D$ and $D_s$ meson spectroscopy from lattice QCD