Near-threshold K- d scattering and properties of kaonic deuterium

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We calculated the 1s level shifts and widths of kaonic deuterium, corresponding to accurate results on near-threshold antikaon - deuteron scattering. The Lippmann-Schwinger eigenvalue equation with a strong K- - d and Coulomb potentials was solved. The two-body K- - d potentials reproduce the near-threshold elastic amplitudes of K- d scattering obtained from the three-body Alt-Grassberger-Sandhas equations with the coupled channels using four versions of the KN - πΣ potentials. Both new KN - πΣ potentials reproducing the very recent SIDDHARTA data on kaonic hydrogen and our older potentials reproducing KEK data have one- or two-pole versions of the Λ(1405) resonance and reproduce experimental data on K- p scattering.