Excited spectroscopy of charmed mesons from lattice QCD

Abstract

We present spectra of highly excited D and Ds mesons up to around 3.8 GeV determined using dynamical lattice QCD. We employ novel computational techniques and the variational method with a large basis of carefully constructed operators in order to extract and reliably identify the continuum spin of an extensive set of excited states. These include states with high spin and states identified as having an explicit gluonic contribution. Calculations were performed on two volumes, both with a pion mass of approximately 400 MeV, achieving a high statistical precision for both ground and excited states. We discuss our results in light of experimental observations, comment on the phenomenological implications and identify the lightest `supermultiplet' of hybrid mesons in each sector.

26 pages, 10 figures

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• Strong $Z_c^{+}(3900)\to J/\psi {\pi }^{+};{\eta }_c{\rho }^{+}$ decays in QCD
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• A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation
• Extended hadron and two-hadron operators of definite momentum for spectrum calculations in lattice QCD
• $DK$ $I=0,$ $D\bar{K}$ $I=0,1$ scattering and the $D_{s0}^{\ast }(2317)$ from lattice QCD
• Study of open-charm $0^{+}$ states in unitarized chiral effective theory with one-loop potentials
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• Variational method with staggered fermions
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