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

2007

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

Zhang, Bo, Liu, Xiang, Zhu, Shi-Lin

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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 $\rho(1450,1700)\to \rho^+\rho^-$.

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