Basing on the observation of a new $J^{ PC}=0^{ -+}$ state, $X(2500)$, in the partial wave analysis of the decay $J/\psi\rightarrow\gamma X\rightarrow \gamma\phi\phi$ performed by the BESIII Collaboration, we have evaluated the strong decays of the $X(2500)$ as the $4^1S_0$ and $5^1S_0$ $s\bar{ s}$ states in the $^3P_0$ meson decay model. The predicted total decay width for the $4^1S_0$ $s\bar{ s}$ is about 894.5 MeV, and the one for the $5^1S_0$ $s\bar{ s}$ is about 271.1 MeV, which is in agreement with the experimental data $\Gamma_{ X(2500)}=230^{ +64+56}_{ -35-33}$ MeV. By considering the mass and the total strong decay width of the $X(2500)$, we propose that the $X(2500)$ state can be interpreted as a candidate of the $5^1S_0$ $s\bar{ s}$ state.
Categories: hep-ph