https://doi.org/10.1140/epjc/s10052-012-2033-y
Regular Article - Theoretical Physics
Studying the D
∗
K molecular structure of 
in the Bethe–Salpeter approach
1
Institute of High Energy Physics, CAS, P.O. Box 918(4), Beijing, 100049, China
2
Theoretical Physics Center for Science Facilities, CAS, Beijing, 100049, China
3
College of Nuclear Science and Technology, Beijing Normal University, Beijing, 100875, China
4
Institute of Particle Physics, Central China Normal University, Wuhan, 430079, China
* e-mail: fenggq@ihep.ac.cn
Received:
3
May
2012
Published online:
2
June
2012
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.
© Springer-Verlag / Società Italiana di Fisica, 2012
