Is the $J^P=2^{-}$ assignment for the $X(3872)$ compatible with the radiative transition data?

Yu Jia, Wen-Long Sang, Jia Xu

The very recent analysis by BaBar Collaboration indicates that the $X(3872)$ may favor the quantum number $J^{PC}=2^{-+}$ rather than the previously assumed $1^{++}$. By pretending…