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

Abstract: 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 $.