Antiproton-deuteron hydrogenic states in optical models

Abstract

By solving the Faddeev equations for the \={p}pn system, we compute the antiproton-deuteron level shifts and widths for the lowest hydrogenic states as well as the corresponding \={p}d scattering lengths and volumes. The \={p}d annihilation densities are obtained and compared to the nuclear density of deuterium. The validity of the Trueman relation for composite particles is studied. The strong part of \={N}N interaction is described by two different optical models, including the \={p}p-\={n}n coupling and n-p mass difference, while for NN several realistic interactions are used.