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.Comment: 26 pages, 10 figure

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD

“…[34]. Because this state is far below the Dπ threshold it is not expected to strongly influence Dπ scattering; this is consistent with the small P -wave amplitudes we find.…”

“…By fitting to a relativistic dispersion relation, the anisotropy measured from the D-meson has been determined to be ξ D = 3.454(6) [34], which agrees with the value measured from the pion ξ π = 3.444 (6) [44]. In this work, we use ξ π as the anisotropy and present our determination of scattering amplitudes incorporating its statistical uncertainty.…”

“…[34][35][36][37], but these calculations were not sensitive to meson-meson energy levels and so could not robustly determine states close to threshold or properly take into account the resonant nature of states above threshold. Elastic Dπ scattering was investigated to a limited extent in ref.…”

“…(3.2), this may indicate the presence of a deeply bound vector state consistent with what was previously found in ref. [34] (which did not include multi-meson operators). We find no other levels in the elastic scattering region meaning that we can not constrain the P -wave scattering amplitude further without including irreps that have both S and P -wave contributions.…”

$$D^*_{s0}(2317)$$ D s 0 ∗ ( 2317 ) and $$\textit{DK}$$ DK scattering in B decays from BaBar and LHCb data

“…In previous lattice studies it was studied with conventional quark-antiquark correlators, but a e-mail: miguelalbaladejo@gmail.com no state with a mass below the DK threshold was found (see e.g. [39]). In Refs.…”