Near-threshold image scattering and properties of kaonic deuterium

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 image and Coulomb potentials was solved. The two-body image potentials reproduce the near-threshold elastic amplitudes of image scattering obtained from the three-body Alt–Grassberger–Sandhas equations with the coupled channels using two versions of the image potentials. The new image potentials reproduce the very recent SIDDHARTA data on kaonic hydrogen, experimental data on image scattering and have one- or two-pole versions of the image resonance.