DK I = 0,DK¯I = 0, 1 scattering and the Ds0∗(2317) from lattice QCD

A bstract Elastic scattering amplitudes for I = 0 DK and I = 0 , 1 D K ¯ are computed in S , P and D partial waves using lattice QCD with light-quark masses corresponding to m π = 239 MeV and m π = 391 MeV. The S -waves contain interesting features including a near-threshold J P = 0 + bound state in I = 0 DK , corresponding to the D s 0 ∗ (2317), with an effect that is clearly visible above threshold, and suggestions of a 0 + virtual bound state in I = 0 D K ¯ . The S -wave I = 1 D K ¯ amplitude is found to be weakly repulsive. The computed finite-volume spectra also contain a deeply-bound D * vector resonance, but negligibly small P -wave DK interactions are observed in the energy region considered; the P and D -wave D K ¯ amplitudes are also small. There is some evidence of 1 + and 2 + resonances in I = 0 DK at higher energies.