Ro-vibrational spin-averaged transitions in the hydrogen molecular ions

Abstract

We reconsider the calculation of rovibrational transition frequencies in hydrogen molecular ions. Some previously neglected contributions, such as the deuteron polarizability, are included into consideration in comparison with our previous work. In particular, one-loop and two-loop QED corrections at $m{\alpha }^7$ and $m{\alpha }^8$ orders are recalculated in the framework of the adiabatic approximation, with systematic inclusion of corrections associated with vibrational motion. Improved theoretical transitions frequencies are obtained and found to be in very good agreement with recent high-precision spectroscopy experiments in HD${}^{+}$. New values for the $m_p/m_e$ and $m_d/m_p$ mass ratios are determined.

arXiv comment7 pages main text with Supplemental Material, submitted to PRA

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• Self-consistent extraction of spectroscopic bounds on light new physics
• Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory
• High-precision solution of the Dirac Equation for the hydrogen molecular ion by an iterative method
• Precision spectroscopy of the hydrogen molecular ions: present status of theory and experiment
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