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 $\rho (1450,1700)$ decays. The interference effect could produce an enhancement around 1540 MeV in the $K^{+}{K}^{-}$ spectrum with typical interference phases. However, the branching ratio $B[J/\psi \to {\pi }^0\rho (1450,1700)]\cdot B[\rho (1450,1700)\to K^{+}{K}^{-}]$ 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

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Cited by in corpus (14)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• The puzzle of excessive non-$D\bar{D}$ component of the inclusive $\psi (3770)$ decay and the long-distant contribution
• Long-distant contribution and ${\chi }_{c1}$ radiative decays to light vector meson
• Will the subprocesses $\rho (770,1450{)}^0\to K^{+}{K}^{-}$ contribute large branching fractions for $B^{\pm }\to {\pi }^{\pm }{K}^{+}{K}^{-}$ decays?
• The dispersive contribution of $\rho (1450,1700)$ decays and X(1576)
• Contribution of final state interaction to the branching ratio of $B\to J/\psi D$
• Contributions for the kaon pair from $\rho (770)$, $\omega (782)$ and their excited states in the $B\to K\bar{K}h$ decays
• The two-body open charm decays of $Z^{+}(4430)$
• Dalitz plot analyses of $J/\psi \to {\pi }^{+}{\pi }^{-}{\pi }^0$, $J/\psi \to K^{+}{K}^{-}{\pi }^0$, and $J/\psi \to K_S^0{K}^{\pm }{\pi }^{\mp }$ produced via $e^{+}{e}^{-}$ annihilation with initial-state radiation
• Amplitudes for the analysis of the decay $J/\psi \to K^{+}{K}^{-}{\pi }^0$
• Final state hadronic interactions and non-resonant $B^{\pm }\to K^{\pm }{\pi }^{+}{\pi }^{-}$ decays
• Resonances $\rho (1450{)}^{+}$ and $\rho (1700{)}^{+}$ in $B\to DKK$ decays
• A possible explanation of a broad $1^{--}$ resonant structure around 1.5GeV
• Evaluation of the $B_c^{+}\to D^0{K}^{+}$ decay by the factorization approaches and applying the effects of the final state interaction