The p¯D atoms are studied in various realistic, popular N¯N potentials. The small energy shifts and decay widths of the atoms, which stem from the short-ranged strong interactions between the antiproton and deuteron, are evaluated in a well-established, accurate approach based on the Sturmian functions. The investigation reveals that none of the employed potentials, which reproduce the N¯N scattering data quite well, is able to reproduce the experimental data of the energy shifts of the 2p p¯D atomic states. The energy shifts of the 2p p¯D atomic states are very sensitive to the N¯N strong interactions, hence the investigation of the p¯D atoms is expected to provide a good platform for refining the N¯N interaction, especially at zero energy.