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Pré-Publication, Document De Travail Année : 2023

Extraction of spin-averaged rovibrational transition frequencies in HD$^+$

Résumé

We present a comprehensive analysis of all currently available high-accuracy frequency measurements of rotational and rovibrational transitions in the hydrogen molecular ion HD$^+$. Our analysis utilizes the theoretically calculated hyperfine structure to extract the values of three spin-averaged transition frequencies through a global linear least-squares adjustment that takes into account theory-induced correlations between the different transitions. We subsequently use the three spin-averaged transition frequencies as input data in a second adjustment which employs precise theoretical expressions for the transition frequencies, written as a function of the proton, deuteron and electron masses, the Rydberg constant, and the proton and deuteron charge radii. Our analysis shows that the HD$^+$ data may significantly improve the value of the proton-electron mass ratio, in particular if combined with recent high-precision measurements of particle masses and mass ratios obtained from Penning traps.
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Dates et versions

hal-03927679 , version 1 (25-02-2023)

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Jean-Philippe Karr, Jeroen C.J. Koelemeij. Extraction of spin-averaged rovibrational transition frequencies in HD$^+$. 2023. ⟨hal-03927679⟩
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