DDK system in finite volume

The DDK three-body system is supposed to be bound due to the strongly attractive interaction between the D meson and the K meson in the isospin zero channel. The minimum quark content of this three-body bound state is cc (q) over bar(s) over bar with y = u, d. It will be an explicitly exotic tetraquark state once discovered. In order to confirm the phenomenological study of the DDK system, we can refer to lattice QCD as a powerful theoretical tool parallel to the experiment measurement. In this paper, a three-body quantization condition scheme is derived via the nonrelativistic effective theory and the particle-dimer picture in a finite volume. The lattice spectrum of this three-body system is calculated within the existing model inputs. The spectrum shows various interesting properties of the DDK system, and it may reveal the nature of the D*(2317). This predicated spectrum is expected to be tested in future lattice simulations.