  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 the
decay width of $Z(3930)\to J/\psi\omega$ is at least one order smaller than
that of $X(3915)\to J/\psi\omega$. This observation explains why only one
structure $X(3915)$ has been observed in the $J/\psi\omega$ invariant mass
spectrum for the process $\gamma\gamma\to J/\psi\omega $.
