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We study whether the broad peak X(1576) observed by BES Collaboration arisesfrom the final state interaction effect of $\rho(1450,1700)$ decays. Theinterference effect could produce an enhancement around 1540 MeV in the$K^+K^-$ spectrum with typical interference phases. However, the branchingratio $B[J/\psi\to \pi^{0}\rho(1450,1700)]\cdot B[\rho(1450,1700)\toK^{+}K^{-}]$ from the final state interaction effect is far less than theexperimental data.Comment: 6 pages, 4 figures. Some typos corrected, more discussion and  references adde

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>X</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>1576</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>and the final state interaction effect

X(1576)and the final state interaction effect