Stable bound states of e{sup +}+Li and e{sup +}+Na
Using model potentials to describe the ionic cores, we have approximated the e{sup +}+Li and e{sup +}+Na 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 e{sup +}+Li that was first predicted by Ryzhikh and Mitroy [Phys. Rev. Lett. {bold 21}, 4124 (1997)] with a binding energy of 58 meV. Further, we predict the existence of a stable bound state for e{sup +}+Na with a binding energy of 7 meV and explain why bound states exist for these two systems but not for the e{sup +}+H system, despite the fact that H{sup {minus}} has a higher binding energy than either Li{sup {minus}} or Na{sup {minus}}. 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. {copyright} {ital 1998} {ital The American Physical Society}
- OSTI ID:
- 678746
- Journal Information:
- Physical Review A, Journal Name: Physical Review A Journal Issue: 1 Vol. 58; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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