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

中文翻译：

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用耦合通道方法和强子分子图进一步研究off0(1710)

这 $F_0(1710)$以前被提出是一种动态生成的状态，具有矢量介子之间的相互作用。我们扩展研究$F_0(1710)$通过在耦合通道方法中包括它与赝标量​​介子通道的耦合。涉及的渠道是${到}^{*}{\overline{到}}^{*},\rho \rho ,\omega \omega ,\phi \phi ,\omega \phi ,\mathrm{圆周率}\mathrm{圆周率},到\overline{到},这这$. 我们证明了分配给的极点$F_0(1710)$变化不大。然后我们计算部分衰减宽度$F_0(1710)\to {到}^{*}{\overline{到}}^{*}\to \mathrm{圆周率}\mathrm{圆周率},到\overline{到},这这$ 作为耦合通道动态生成的状态以及假设它是一个纯 ${到}^{*}{\overline{到}}^{*}$分子。在这两种情况下，部分衰减宽度的比率与 PDG 中的比率相当。