Faddeev calculations of the (K)over-bar N N system with a chirally motivated (K)over-bar N interaction. I. Low-energy K - d scattering and antikaonic deuterium

A chirally-motivated coupled-channel (K) over bar N potential, reproducing all low-energy experimental data on K-p scattering and kaonic hydrogen and suitable for using in accurate few-body calculations, was constructed. The potential was used for calculations of low-energy amplitudes of elastic K- d scattering using Faddeev-type Alt-Grassberger-Sandhas (AGS) equations with coupled (K) over bar N N and pi Sigma N channels. A complex K- - d potential reproducing the three-body K- d amplitudes was constructed and used for calculation of the 1s level shift and the width of kaonic deuterium. The predicted shift Delta E-1s(K- d) similar to -830 eV and width Gamma(K- d)(1s) approximate to 1055 eV are close to our previous results obtained with phenomenological (K) over bar N potentials. No quasi-bound states in the K- d system were found.