Further study of f0(1710) with the coupled-channel approach and the hadron molecular picture

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* (K) over bar*, rho rho, omega omega, phi phi, omega phi, pi pi, K (K) over bar, 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) -> K*(K) over bar*->pi pi, K (K) over bar, eta eta as the coupled channel dynamically generated state as well as assuming it to be a pure K*(K) over bar* molecule. In both cases the ratios of partial decay widths agree fairly with that in PDG.

Automated summary

The study shows that although the pole assigned to f(0) (1710) does not change much, the ratios of partial decay widths calculated under different models still agree fairly with experimental values in both cases.