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arxiv: 1603.02531 · v2 · pith:3NNQUYMMnew · submitted 2016-03-08 · ✦ hep-ph · nucl-th

On the pole content of coupled channels chiral approaches used for the bar{K}N system

classification ✦ hep-ph nucl-th
keywords approachespoleamplitudechiralcontentsdifferentenergiesmodels
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Several theoretical groups describe the antikaon-nucleon interaction at low energies within approaches based on the chiral SU(3) dynamics and including next-to-leading order contributions. We present a comparative analysis of the pertinent models and discuss in detail their pole contents. It is demonstrated that the approaches lead to very different predictions for the $K^{-}p$ amplitude extrapolated to subthreshold energies as well as for the $K^{-}n$ amplitude. The origin of the poles generated by the models is traced to the so-called zero coupling limit, in which the inter-channel couplings are switched off. This provides new insights into the pole contents of the various approaches. In particular, different concepts of forming the $\Lambda(1405)$ resonance are revealed and constraints related to the appearance of such poles in a given approach are discussed.

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