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arXiv · 2107.14470

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

Zheng-Li Wang·Bing-Song Zou
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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 $K^*\bar{K}^*,ρρ,ωω,ϕϕ, ωϕ,ππ,K\bar{K},ηη$. We show that the pole assigned to $f_0(1710)$ does not change much. Then we calculate the partial decay widths of $f_0(1710) \to K^*\bar{K}^* \to ππ,K\bar{K},ηη$ as the coupled channel dynamically generated state as well as assuming it to be pure $K^*\bar{K}^*$ molecule. In both cases the ratios of partial decay widths agree fairly with that in PDG.

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Zheng-Li Wang, Bing-Song Zou. 2021-07-30. Further study of $f_0(1710)$ with coupled-channel approach and hadron molecular picture. https://doi.org/10.1103/physrevd.104.114001

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