1206.5481 (L. Y. Dai et al.)

Pole Analysis of Unitarized One Loop $χ$PT Amplitudes - A Triple
Channel Study    [PDF]

L. Y. Dai, X. G. Wang, H. Q. Zheng

In a previous paper (Commun. Theor. Phys. 57 (2012) 841), we proposed a method to distinguish poles of different dynamical origin, in a unitarized amplitude of $\pi\pi\, K\bar K$ 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 $N_c=\infty$'. In this paper, we extend our previous work (Commun.Theor.Phys. 57 (2012) 841) to the $\pi\pi$-$K\bar K$-$\eta\eta$ three channel system. We reconfirm most of the previous predictions. Especially the $f_0(980)$ is of $K\bar K$ molecule nature. Other poles, including the $\sigma$, are of Breit--Wigner type.

View original: http://arxiv.org/abs/1206.5481