Proton-electron mass ratio from laser spectroscopy of HD<sup>+</sup> at the part-per-trillion level.

Patra, Sayan; Germann, M; Karr, J-Ph; Haidar, M; Hilico, L; Korobov, V I; Cozijn, F M J; Eikema, K S E et al. · Science · 2020

basic_science · Level V

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Abstract

Recent mass measurements of light atomic nuclei in Penning traps have indicated possible inconsistencies in closely related physical constants such as the proton-electron and deuteron-proton mass ratios. These quantities also influence the predicted vibrational spectrum of the deuterated molecular hydrogen ion (HD<sup>+</sup>) in its electronic ground state. We used Doppler-free two-photon laser spectroscopy to measure the frequency of the <i>v</i> = 0→9 overtone transition (<i>v</i>, vibrational quantum number) of this spectrum with an uncertainty of 2.9 parts per trillion. By leveraging high-precision ab initio calculations, we converted our measurement to tight constraints on the proton-electron and deuteron-proton mass ratios, consistent with the most recent Penning trap determinations of these quantities. This results in a precision of 21 parts per trillion for the value of the proton-electron mass ratio.