Coupled-channel DÏ , Dη and D<inf>s</inf>K¯ scattering from lattice QCD

Abstract

We present the rst lattice QCD study of coupled-channel D , D and D s

K scattering in isospin-1/2 in three partial waves. Using distillation, we compute matrices of correlation functions with bases of operators capable of resolving both meson and meson- meson contributions to the spectrum. These correlation matrices are analysed using a variational approach to extract the nite-volume energy eigenstates. Utilising L uscher's method and its extensions, we constrain scattering amplitudes in S , P and D -wave as a function of energy. By analytically continuing the scattering amplitudes to complex energies, we investigate the S -matrix singularities. Working at m

391 MeV, we nd a pole corresponding to a J P = 0 + near-threshold bound state with a large coupling to D . We also nd a deeply bound J P = 1