X(1576) and the Final State Interaction Effect

Abstract

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

6 pages, 4 figures. Some typos corrected, more discussion and references added