Description of ρ(1700) as a \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\rho K\bar K$$\end{document} system with the fixed-center approximation

We study the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\rho K\bar K$$\end{document} system with the aim to describe the ρ(1700) resonance. The chiral unitary approach has achieved success in the description of systems of the light hadron sector. With this method, the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$K\bar K$$\end{document} system in the isospin sector I = 0, is found to be a dominant component of the f0(980) resonance. Therefore, by regarding the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$K\bar K$$\end{document} system as a cluster, the f0(980) resonance, we evaluate the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\rho K\bar K$$\end{document} system applying the fixed-center approximation to the Faddeev equations. We construct the ρK unitarized amplitude using the chiral unitary approach. As a result, we find a peak in the three-body amplitude around 1732 MeV and a width of about 161 MeV. The effect of the width of the ρ and f0(980) is also discussed. We associate this peak to the ρ(1700) which has a mass of 1720 ± 20MeV and a width of 250 ± 100 MeV.