The Use of Analyticity in the $ππ$ and $K\bar K$ Coupled Channel System

Details The Use of Analyticity in the $ππ$ and $K\bar K$ Coupled Channel System The Use of Analyticity in the $ππ$ and $K\bar K$ Coupled Channel System

2001-07-17

arxiv.org/abs/hep-ph/0107188v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Summary of talks given at International Conference on Flavor Physics 2001, Zhangjiajie, Hunan, May 30th, 2001, at BES annual m

Scientific paper

Studies on the IJ=00 $\pi\pi$ and $K\bar K$ coupled--channel system are made using newly derived dispersion relations between the phase shifts and poles and cuts. It is found that the $\sigma$ resonance must be introduced to explain the experimental phase shifts, after evaluating the cut contribution. The effects of nearby branch point singularities to the determination of the $f_0(980)$ resonance are also carefully clarified.

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