High accuracy results for the energy levels of the molecular ions H2+, D2+ and HD+, up to J=2

Details High accuracy results for the energy levels of the molecular ions H2+, D2+ and HD+, up to J=2 High accuracy results for the energy levels of the molecular ions H2+, D2+ and HD+, up to J=2

2007-01-19

arxiv.org/abs/quant-ph/0701139v1

Journal of Physics B: Atomic, Molecular and Optical Physics 39 (10/04/2006) 2095

Physics

Quantum Physics

11 pages

Scientific paper

We present a nonrelativistic calculation of the rotation-vibration levels of the molecular ions H2+, D2+ and HD+, relying on the diagonalization of the exact three-body Hamiltonian. The J=2 levels are obtained with a very high accuracy of 10^{-14} a.u. (for most levels) representing an improvement by five orders of magnitude over previous calculations. The accuracy is also improved for the J=1 levels of H2+ and D2+ with respect to earlier works. Moreover, we have computed the sensitivities of the energy levels with respect to the mass ratios, allowing these levels to be used for metrological purposes.

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