Study of X(1812) as a $(K^{\ast }{\bar{K}}^{\ast })$ Molecular State

Abstract

We investigate the decay and the production mechanism of the resonance X(1812) recently observed in the $\jp\toγX(1812), X(1812)\toωϕ$ at BESII. The decay widths of $X(1812)\to \eta {\eta }^{\prime }$,$\eta \eta$,$\omega \varphi$,$K^{+}{K}^{-}$,${\rho }^{+}{\rho }^{-}$, $\omega \omega$,$K^{\ast +}{K}^{\ast -}$ and ${\pi }^{+}{\pi }^{-}$ are evaluated based on the scenario of the X(1812) as a candidate of $(\ksks)$ molecule. It turns out that the quark exchange mechanism plays an important role in the understanding of the large decay width for the $X(1812)\to \omega \varphi$. It is also found that the decay widths for $X(1812)\to \eta {\eta }^{\prime }$ and $\eta \eta$ are enhanced by the quark exchange mechanism. These channels are suggested to be the tools to test the molecular scenario in experiment. The branching fraction of $Br(X\to \omega \varphi )$ is evaluated to be about 4.60%. Searches for additional evidence about the X(1812) in $\jp$ radiative decays are reviewed. In the molecular scenario, the X(1812) production rate is also evaluated to be $Γ(\jp\toγX)/Γ(\jp\toγK^{*+}K^{*-})=2.13^{+7.41}_{-1.85}$, which is close to the measured value $2.83\pm 0.92$.

4 figures, 10 pages

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Cited by in corpus (1)

• Dynamical coupled-channel study of K* K*bar and omega phi states in a chiral quark model