By using a combined amplitude analysis of the $\gamma \gamma \to D\overline{D}$ and $\gamma \gamma \to J/\psi \omega$ data, we demonstrate that the $X(3915)$, which is quoted as a $J^{PC}=0^{++}$ state in the Particle Data Group table, is favored by the data to be a $J^{PC}=2^{++}$ state appearing in both channels, which means that the $X(3915)$ and the $X(3930)$ can be regarded as the same $J^{PC}=2^{++}$ state. Meanwhile, the data also prefer a large helicity-0 contribution of this tensor resonance to the amplitudes instead of the helicity-2 dominance assumed by BABAR, which may indicate a sizable portion of non-$q\overline{q}$ components in this state. Identifying the $X(3915)$ with the $X(3930)$ and abandoning the helicity-2 dominance for this tensor state are helpful for the further understandings of the properties of this state and also of the mysterious “$XYZ$” charmoniumlike resonances.

• Received 12 January 2015

DOI:https://doi.org/10.1103/PhysRevLett.115.022001