$Z_c(4025)$ as the hadronic molecule with hidden charm

We have studied the loosely bound $D^*\bar{D}^*$ system. Our results indicate that the recently observed charged charmonium-like structure $Z_c(4025)$ can be an ideal $D^*\bar{D}^*$ molecular state. We have also investigated its pionic, dipionic, and radiative decays. We stress that both the scalar isovector molecular partner $Z_{c0}$ and three isoscalar partners ${\tilde Z}_{c0,c1,c2}$ should also exist if $Z_c(4025)$ is a $D^*\bar{D}^*$ molecular state {in the framework of the one-pion-exchange model}. $Z_{c0}$ can be searched for in the channel $e^+e^-\to Y \to Z_{c0}(4025)\left(\pi\pi\right)_{P-wave}$ where $Y$ can be Y(4260) or any other excited $1^{--}$ charmonium or charmonium-like states such as Y(4360), Y(4660) etc. The isoscalar $D^*\bar{D}^*$ molecular states ${\tilde Z}_{c0,c2}$ with $0^+(0^{++})$ and $0^+(2^{++})$ can be searched for in the three pion decay channel $e^+e^-\to Y \to {\tilde Z}_{c0,c2} \left(3\pi\right)^{I=0}_{P-wave}$. The isoscalar molecular state ${\tilde Z}_{c1}$ with $0^-(1^{+-})$ can be searched for in the channel ${\tilde Z}_{c1}\eta$. Experimental discovery of these partner states will firmly establish the molecular picture.