Stuttgart 2012 – scientific programme
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MO: Fachverband Molekülphysik
MO 4: Cold Molecules I
MO 4.4: Talk
Monday, March 12, 2012, 14:45–15:00, V38.03
The excited level of the 2pσu electronic state in H2+ — •Tim-Oliver Müller and Harald Friedrich — Technische Universität München
In Ref. [1] a new weakly bound vibrational level of the H2+ molecular ion with a binding energy of only 1.0851× 10−9a.u. ≈ 30 neV is predicted from three-body calculations. It is the (rotationless) excited vibrational level v=1 of the 2pσu electronic state.
It is argued in [1] that calculations using the asymptotic expansion of the effective two-body potential for the ungerade state given by Landau [2] can reproduce neither the bound state energy of the v=1 state nor the scattering properties with sufficient accuracy.
We point out that the v=1 vibrational state can well be described as a bound state in the distant well of the enhanced p-H two-body potential [3] with a binding energy of 0.9749× 10−9a.u., very close to the exact result (≈10%). The exact scattering properties including the scattering length are also reproduced with good accuracy.
[1] Carbonell J., et al., Europhys. Lett. 64, 316, (2003)
[2] Landau L. D., and Lifschitz E. M., Theoretische Physik 3, Quantenmechanik (Akademie-Verlag, Berlin) 1965, p.305.
[3] Damburg R. J., and Propin R. Kh., J. Phys. B 1 681 (1968).