DK I = 0, D K ¯ $$ D\overline{K} $$ I = 0, 1 scattering and the D s 0 ∗ $$ {D}_{s0}^{\ast } $$ (2317) from lattice QCD

Abstract Elastic scattering amplitudes for I = 0 DK and I = 0, 1 D K ¯ $$ D\overline{K} $$ 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 ∗ $$ {D}_{s0}^{\ast } $$ (2317), with an effect that is clearly visible above threshold, and suggestions of a 0+ virtual bound state in I = 0 D K ¯ $$ D\overline{K} $$ . The S-wave I = 1 D K ¯ $$ D\overline{K} $$ 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 ¯ $$ D\overline{K} $$ amplitudes are also small. There is some evidence of 1+ and 2+ resonances in I = 0 DK at higher energies.