Excited spectroscopy of charmed mesons from lattice QCD
Graham Moir, Michael Peardon, Sinead M. Ryan, Christopher E. Thomas,, Liuming Liu

TL;DR
This study uses advanced lattice QCD techniques to compute the spectra of highly excited charmed mesons, including hybrid states, providing detailed insights into their structure and comparison with experimental data.
Contribution
The paper introduces novel computational methods and operator bases to reliably identify continuum spins of excited mesons in lattice QCD simulations.
Findings
Spectra of D and Ds mesons up to 3.8 GeV were determined.
Identification of hybrid meson supermultiplets.
High statistical precision achieved for excited states.
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.
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