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One- versus two-pole $\bar{K}N - πΣ$ potential: $K^- d$ scattering length

We investigated the dependence of the $K^- d$ scattering length on models of $\bar{K}N$ interaction with one or two poles for $Λ(1405)$ resonance. The $\bar{K}NN - πΣN$ system is described by coupled-channel Faddeev equations in AGS form. Our new two-body $\bar{K}N - πΣ$ potentials reproduce all existing experimental data on $K^- p$ scattering and kaonic hydrogen atom characteristics. New models of $ΣN - ΛN$ interaction were also constructed. Comparison with several approximations, usually used for scattering length calculations, was performed.