Pole Analysis of Unitarized One Loop χ PT Amplitudes - A Triple Channel Study

In a previous paper [Commun. Theor. Phys., [arxiv:hep-ph/11081451]], we proposed a method to distinguish poles of different dynamical origin, in unitarized amplitudes of pi pi, K (K) over bar system. That is based on the observation that A Breit-Wigner resonance should exhibit two poles on different Riemann sheets which meet each other on the real axis when N-c = infinity. In this paper, we extend our previous work [Commun. Theor. Phys., [arXiv:hep-ph/11081451]] to the pi pi-K (K) over bar-eta eta three channel system. We reconfirm most of the predictions in our previous work [Commun. Theor. Phys., [arxiv:hep-ph/11081451]]. Especially the f(0) (980) is of K (K) over bar molecule nature. Other poles, including the sigma, are of Breit-Wigner type.