Europhys. Lett., 64 (3) , pp. 316-322 (2003)
A new vibrational level of the molecular ionJ. Carbonell1, R. Lazauskas1, D. Delande2, L. Hilico2, 3 and S. Kiliç2, 3
1 Institut des Sciences Nucléaires - 53 Av. des Martyrs, 38026 Grenoble, France
2 Laboratoire Kastler Brossel - Case 74, 4 place Jussieu, 75252 Paris, France
3 Université d'Evry Val d'Essonne - Boulevard F. Mitterrand, 91025 Evry cedex, France
(Received 24 July 2003; accepted 25 August 2003)
A new vibrational level of the molecular ion with binding energy of below the first dissociation limit is predicted, using highly accurate numerical non-relativistic quantum calculations, which go beyond the Born-Oppenheimer approximation. It is the first-excited vibrational level v=1 of the electronic state, antisymmetric with respect to the exchange of the two protons, with orbital angular momentum L=0. It manifests itself as a huge - scattering length of Bohr radii.
31.15.-p - Calculations and mathematical techniques in atomic and molecular physics (excluding electron correlation calculations).
03.65.Nk - Scattering theory.
03.65.Ge - Solutions of wave equations: bound states.
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