Local models for many-channel low-energy$$\bar K$$ N scattering N scatteringЛокальные модели для многоканального$$\bar K$$ N рассеяния при ниэких знергиях N рассеяния при ниэких знергиях

We derive here a local model—built from theD/D formalism—valid in some neighbourhood of the\(\bar K\)N threshold. Since the local analysis of the low-energy\(\bar K\)N scattering involves both zero-and one-total-isospin states, we are led to propose models for two and three channels. We also prove the equivalence which exists between theD/D local model we build up and the one previously developed by Dalitz and Tuan. The conclusions to which we are led turn out to be of the same kind as those deduced from our previous analysis of the rational models. We remark that the conclusions derived independently by Dalitz through a nonrelated method agree with ours. These conclusions concern the methods used up to now in fitting the experimental data.