Further study of $f_0(1710)$ with coupled-channel approach and hadron molecular picture

Abstract

The $f_0(1710)$ was previously proposed to be dynamically generated state by interactions between vector mesons. We extend the study of $f_0(1710)$ by including its coupling to channels of pseudoscalar mesons within coupled-channel approach. The channels involved are $K^{\ast }{\bar{K}}^{\ast },\rho \rho ,\omega \omega ,\varphi \varphi ,\omega \varphi ,\pi \pi ,K\bar{K},\eta \eta$. We show that the pole assigned to $f_0(1710)$ does not change much. Then we calculate the partial decay widths of $f_0(1710)\to K^{\ast }{\bar{K}}^{\ast }\to \pi \pi ,K\bar{K},\eta \eta$ as the coupled channel dynamically generated state as well as assuming it to be pure $K^{\ast }{\bar{K}}^{\ast }$ molecule. In both cases the ratios of partial decay widths agree fairly with that in PDG.

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Cited by in corpus (10)

• Study of the decay $D_s^{+}\to K_S^0{K}_S^0{\pi }^{+}$ and observation an isovector partner to $f_0(1710)$
• Two dynamical generated $a_0$ resonances by interactions between vector mesons
• Theoretical study of the process $D_s^{+}\to {\pi }^{+}{K}_S^0{K}_S^0$ and the isovector partner of $f_0(1710)$
• Theoretical study of scalar meson $a_0(1710)$ in the ${\eta }_c\to {\bar{K}}^0{K}^{+}{\pi }^{-}$ reaction
• Unveiling the $a_0(1710)$ nature in the process $J/\psi \to {\bar{K}}^0{K}^{+}{\rho }^{-}$
• Faddeev fixed-center approximation to the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$ and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems
• Strong decays of $a_0$, $f_0$, $f_2$, and $K_2^{\ast }$ resonances as dynamically generated states of two vector mesons
• Dynamically generated states from the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$, and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems within the fixed-center approximation
• Two-photon production of $f_0$ and $a_0$ resonances as hadronic molecules composed of two vector mesons
• The dynamically generated $h_1$ state by the $K^{\ast }{\bar{K}}^{\ast }$ interaction and its $K_1(1270)\bar{K}$ and $b_1(1235)\pi$ decays