X(1870) and $\eta_2(1870)$: Which can be assigned as a hybrid state?

Abstract

The mass spectrum and strong decays of the X(1870) and $\eta_2(1870)$ are analyzed. Our results indicate that X(1870) and $\eta_2(1870)$ are the two different resonances. The narrower X(1870) seems likely a good hybrid candidate. We support the $\eta_2(1870)$ as the $\eta_2(2^1D_2)$ quarkonium. We suggest to search the isospin partner of X(1870) in the channels of $J/\psi\rightarrow\rho f_0(980)\pi$ and $J/\psi\rightarrow\rho b_1(1235)\pi$ in the future. The latter channel is very important for testing the hybrid scenario.