The dispersive contribution of $\rho (1450,1700)$ decays and X(1576)

Abstract

We study whether the broad enhancement X(1576) arises from the final state interaction (FSI) of $\rho (1450,1700)\to {\rho }^{+}{\rho }^{-}\to K^{+}{K}^{-}$ decays. We consider both the absorptive and dispersive contribution of the above amplitudes since the intermediate states are very close to $\rho (1450,1700)$. The same mechanism leads to a similar enhancement around 1580 MeV in the ${\pi }^{+}{\pi }^{-}$ spectrum in the $J/\psi \to {\pi }^0{\pi }^{+}{\pi }^{-}$ channel, which can be used to test whether X(1576) can be ascribed to the FSI effect of $\rho (1450,1700)\to {\rho }^{+}{\rho }^{-}$.

4 pages, 4 figures

References in corpus (8)

• Decays of the X(3872) and ${\chi }_{c1}(2P)$ charmonium
• The Hidden Charm Decay of $X(3872),Y(3940)$ and Final State Interaction Effects
• On the near-threshold enhancement in $J/\psi \to \gamma X$ with $X\to \omega \varphi$
• A study of the Okubo-Zweig-Iizuka rule violations in ${\eta }_c\to VV$
• X(1576) and the Final State Interaction Effect
• Analysis of the X(1576) as a tetraquark state with the QCD sum rules
• X(1576) as Diquark-Antidiquark Bound State
• Isospin and a possible interpretation of the newly observed X(1576)

Cited by in corpus (2)

• The puzzle of excessive non-$D\bar{D}$ component of the inclusive $\psi (3770)$ decay and the long-distant contribution
• Final State Interaction Effect in Pure Annihilation $B_s\to \rho \rho$ Decay