Strong and radiative decays of X(3872) as a hadronic molecule with a negative parity

Abstract

Properties of X(3872) are studied by regarding it as a $D{D}^{\ast }$ hadronic molecule with $J^{PC}=2^{-+}$ in the phenomenological Lagrangian approach. We find that our model with about 97.6% isospin zero component explains the existing data nicely, for example, the ratio $\mathcal{B}(X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}{\pi }^0)/\mathcal{B}(X(3872)\to J/\psi {\pi }^{+}{\pi }^{-})$. We predict the partial widths of the radiative decays of $X(3872)\to \gamma J/\psi$, $\gamma \psi (2S)$ and the strong decays of $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$, $J/\psi {\pi }^{+}{\pi }^{-}{\pi }^0$ as well as $X(3872)\to {\chi }_{cJ}{\pi }^0$. Our analysis shows that the measurement of the ratio $\mathcal{B}(X(3872)\to {\chi }_{c0}{\pi }^0)/\mathcal{B}(X(3872)\to {\chi }_{c1}{\pi }^0)$ may signal the nature of X(3872).