## Abstract

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

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Cheung, G.K.C., Thomas, C.E., Wilson, D.J. *et al.*
*DK I* = 0*,* \( D\overline{K} \) *I* = 0*,* 1 scattering and the \( {D}_{s0}^{\ast } \)(2317) from lattice QCD.
*J. High Energ. Phys.* **2021**, 100 (2021). https://doi.org/10.1007/JHEP02(2021)100

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DOI: https://doi.org/10.1007/JHEP02(2021)100