We study whether the broad peak $X(1576)$ observed by BES Collaboration arises from the final state interaction effect of $\rho (1450\hspace{0.17em}1700)$ decays. The interference effect could produce an enhancement around 1540 MeV in the $K^{+}{K}^{-}$ spectrum with typical interference phases. However, the branching ratio $B[J/\psi \to {\pi }^0\rho (1450\hspace{0.17em}1700)]·B[\rho (1450\hspace{0.17em}1700)\to K^{+}{K}^{-}]$ from the final state interaction effect is far less than the experimental data.

• Received 6 January 2007

DOI:https://doi.org/10.1103/PhysRevD.75.074017