Bound states and resonant states of three self-gravitating Bose-Einstein condensates

The effect of Yukawa potentials on the bound states and resonance states for systems with three self-gravitating bosons and fermions has been investigated using highly correlated basis functions. The complex coordinate rotation method is used to extract resonance parameters. We have investigated the Borromean binding for such systems. The ground and excited state energies, resonance energy and width for the lowest two resonances are reported for different screening parameters along with the critical range for Borromean binding. Presented at the 20th Few-Body Conference, Pisa, Italy, 10-14 September 2007. (author)