[en] The parameters of separable coupled channels s-wave potentials for the strong /bar K/N interaction are determined from low energy K^-p scattering data with additional constraints from π^-p → πΣK⁰ production data. The shifts and widths of the Coulomb bound states in kaonic hydrogen are calculated with these potentials and compared with experiment. Optical potentials are constructed from /bar K/N t-matrices derived from the separable potentials, and these optical potentials are used to calculate kaonic helium and kaonic carbon shifts and widths which are also compared with experiment. 68 refs., 50 figs., 9 tabs