2000 character limit reached
Leading order relativistic corrections to the ro-vibrational spectrum of $\mbox{H}^+_2$ and $\mbox{HD}^+$ molecular ions (1810.07929v1)
Published 18 Oct 2018 in physics.atom-ph
Abstract: High-precision variational calculations of the operators for the relativistic corrections in the leading $m\alpha4$ 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 $\mbox{H}_2+$ and $\mbox{HD}+$ 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.