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

被引:0
作者
M. Bayar
W. H. Liang
T. Uchino
C. W. Xiao
机构
[1] Institutos de Investigación de Paterna,Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia
[2] Kocaeli University,CSIC
[3] Guangxi Normal University,Department of Physics
关键词
Chiral Symmetry; Vector Meson; Single Scattering; Faddeev Equation; Baru;
D O I
10.1140/epja/i2014-14067-0
中图分类号
学科分类号
摘要
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.
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