Three-Body Antikaon-Nucleon Systems

The paper contains a review of the exact or accurate results achieved in the field of the three-body antikaon-nucleon physics. Different states and processes in (K) over bar NN and (K) over bar(K) over barN systems are considered. In particular, quasi-bound states in K(-)pp and K(-)K(-)p systems were investigated together with antikaonic deuterium atom. Near-threshold scattering of antikaons on deuteron, including the K(-)d scattering length, and applications of the scattering amplitudes are also discussed. All exact three-body results were calculated using some form of Faddeev equations. Different versions of (K) over barN, Sigma N, (K) over bar(K) over bar, and NN potentials, specially constructed for the calculations, allowed investigation of the dependence of the three-body results on the two-body input. Special attention is paid to the antikaon-nucleon interaction, being the most important for the three-body systems. Approximate calculations, performed additionally to the exact ones, demonstrate accuracy of the commonly used approaches.