Spectroscopy and scattering of mesons containing charm quarks from lattice QCD

Abstract

We present excited spectra of mesons containing charm-light (D), charm-strange (Ds) and charm-charm (charmoninm) combinations. We perform these spectroscopic calculations on two volumes. 16(3) X 128 and 24(3) x 128, of dynamical Nf = 2 + 1 configurations generated by the Hadron Spectrum Collaboration. These ensembles have unphysically-heavy degenerate up and down quarks, resulting in a pion mass of ~ 391 MeV. Our use of distillation and the variational method combined with a large basis of carefully constructed interpolators allows us to extract and reliably identify the continuum spin of an extensive set of states up to J ≤ 4, while also allowing access to explicit gluonic degrees of freedom. For the first time in a lattice QCD calculation, we extract charmoninm states with exotic quantum nmnbers 0+-, 1-+ and 2+-, and in all three sectors, we identify the lightest hybrid supermultiplet and evidence for an excited hybrid supermultiplet. Using a non-relativistic interpretation of some of our interpolators in the open-charm sectors, we calculate mixing angles for P-wave, D-wave and the hybrid 1-, spin-singlet triplet states. We also present preliminary results for the isospin. I = 3/2. Dπ multi-particle spectrum and map out. via the Lüscher formalism, the l = 0 elastic scattering phase shift. As expected we do not find a resonance in this channel.