Studying the D∗K molecular structure of in the Bethe–Salpeter approach

In the heavy quark limit, we study the possible S-wave D ∗ K molecular bound state in the Bethe–Salpeter approach in the ladder and covariant instantaneous approximations. With the kernel induced by ρ and ω exchanges, we solve the Bethe–Salpeter equation numerically and find that the bound state may exist. We assume that the observed state is an S-wave D ∗ K molecular bound state and then calculate the decay width of the strong decay including the η – π 0 mixing effect. Our result for the decay width is consistent with the previous calculations and the experimental data.