$D_{s0}^*(2317)$ Meson and $D$-Meson-Kaon Scattering from Lattice QCD

Understand

The scalar meson $D_{s0}^*(2317)$ is found 37(17)MeV below DK threshold in a lattice simulation of the $J^P=0^+$ channel using, for the first time, both DK as well as $\bar sc$ interpolating fields.

• The simulation is done on $N_f=2+1$ gauge configurations with $m_\pi\simeq 156 $MeV, and the resulting $M_{D_{s0}^*}-\tfrac{1}{4}(M_{D_s}+3M_{D_s^*})=266(16)$ MeV is close to the experimental value 241.5(0.8)MeV.
• The energy level related to the scalar meson is accompanied by additional discrete levels due to DK scattering states.
• The levels near threshold lead to the negative DK scattering length $a_0=-1.33(20)$ fm that indicates the presence of a state below threshold.