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 * K * , ρρ, ωω, φφ, ωφ, ππ, K 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) → K * K * → ππ, K K, ηη as the coupled channel dynamically generated state as well as assuming it to be pure K * K * molecule. In both cases the ratios of partial decay widths agree fairly with that in PDG.