### Session T1: Poster Session III (4:00 pm - 6:00 pm)

4:00 PM–4:00 PM, Friday, May 28, 2010
Room: Exhibit Hall

Abstract ID: BAPS.2010.DAMOP.T1.164

### Abstract: T1.00164 : Binding energy and geometry of e$^+$Na

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#### Authors:

Janine Shertzer
(College of the Holy Cross)

S.J. Ward
(University of North Texas)

We calculate the non-adiabatic binding energy and geometry of the weakly bound state of e$^+$Na. We use the Peach model potential to describe the e$^+$-Na$^+$ and e$^-$-Na$^+$ interactions and solve the effective three-body Schr\"odinger equation with the finite element method. Because the model potential gives rise to three spurious states (corresponding to 1s, 2s, and 2p), the true non-adiabatic ground state of e$^+$Na is embedded in a dense spectrum of spurious states. We developed a technique for extracting the correct ground state for e$^+$Na, even when the energy is nearly degenerate with a spurious level. This is the first calculation to include the quadrupole term in the polarization potential.

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2010.DAMOP.T1.164