We report on the first genuinely three-body K[over]NN- piSigmaN coupled-channel Faddeev calculation in search for quasibound states in the K- pp system. The main absorptivity in the K- p subsystem is accounted for by fitting to K- p data near threshold. Our calculation yields one such quasibound state, with I=1/2, J{pi}=0-, bound in the range B approximately 55-70 MeV, with a width of Gamma approximately 90-110 MeV. These results differ substantially from previous estimates, and are at odds with the K- pp-->Lambda p signal observed by the FINUDA collaboration.

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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 nearthreshold elastic amplitudes of K − d scattering obtained from the three-body Alt-Grassberger-Sandhas equations with the coupled channels using four versions of theKN − πΣ potentials. Both newKN − 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.