Abstract
Using model potentials to describe the ionic cores, we have approximated the and systems as quasi-three-body problems and performed adiabatic hyperspherical calculations to search for the existence of bound states. We have confirmed the existence of a bound state for that was first predicted by Ryzhikh and Mitroy [Phys. Rev. Lett. 21, 4124 (1997)] with a binding energy of 58 meV. Further, we predict the existence of a stable bound state for with a binding energy of 7 meV and explain why bound states exist for these two systems but not for the system, despite the fact that has a higher binding energy than either or Based on this work, we find that it is unlikely that positrons can form stable bound states with any other of the alkali-metal atoms.
- Received 9 March 1998
DOI:https://doi.org/10.1103/PhysRevA.58.R4
©1998 American Physical Society