Leading order relativistic corrections to the ro-vibrational spectrum of H+2 and HD+ molecular ions
Abstract
High-precision variational calculations of the operators for the relativistic corrections in the leading mα4 order are presented. The ro-vibrational states in the range of the total orbital angular momentum L\!=\!0\!-\!4 and vibrational quantum number v\!=\!0\!-\!10 for the H2+ and HD+ molecular ions are considered. We estimate that about ten significant digits are obtained. This high precision is required for making theoretical predictions for transition frequencies at the level of 10-12 relative uncertainty.
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