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In this work, we investigate the $X(3915)$ and $Z(3930)$ decays into$J/\psi\omega$ with the $\chi_{c0}^\prime(2P)$ and $\chi_{c2}^\prime (2P)$assignments to $X(3915)$ and $Z(3930)$, respectively. The results show that thedecay width of $Z(3930)\to J/\psi\omega$ is at least one order smaller thanthat of $X(3915)\to J/\psi\omega$. This observation explains why only onestructure $X(3915)$ has been observed in the $J/\psi\omega$ invariant massspectrum for the process $\gamma\gamma\to J/\psi\omega $.

Hidden-charm decays of $X(3915)$ and $Z(3930)$ as the P-wave charmonia