We discuss the possibility that the $X(3872)$ can be a $D{\overline{D}}^{*}$ molecular bound state in the Bethe-Salpeter equation approach in the ladder and instantaneous approximations. We show that the $D{\overline{D}}^{*}$ bound state with quantum numbers $J^{PC}=1^{++}$ exists. We also calculate the decay width of $X(3872)\to \gamma J/\psi$ channel and compare our result with those from previous calculations.

• Received 22 October 2017

DOI:https://doi.org/10.1103/PhysRevD.97.016015

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society