Penning-trap mass measurements of the deuteron and the HD+ molecular ion

TL;DR

This study provides highly precise measurements of the deuteron and HD+ molecular ion masses using Penning-trap mass spectrometry, revealing discrepancies in previous values and improving the accuracy of fundamental constants.

Contribution

The paper reports the most precise direct atomic mass measurements of the deuteron and HD+ ion, surpassing previous uncertainties and resolving inconsistencies in fundamental mass values.

Findings

Deuteron mass measured with 8 ppt uncertainty, 2.4 times more precise than previous.

HD+ molecular ion mass measured, enabling consistency checks and linking to other nuclear masses.

Deuteron mass deviates from literature by 4.8 standard deviations, indicating previous underestimations.

Abstract

The masses of the lightest atomic nuclei and the electron mass are interlinked and are crucial in a wide range of research fields, with their values affecting observables in atomic, molecular and neutrino physics as well as metrology. The most precise values for these fundamental parameters come from Penning-trap mass spectrometry, which achieves relative mass uncertainties in the range of $10^{-11}$. However, redundancy checks using data from different experiments reveal significant inconsistencies in the masses of the proton ($m_p$), the deuteron ($m_d$) and helion ($m_\text{he}$), amounting to $5$ standard deviations for the term $\Delta=m_p+m_d-m_{\text{he}}$, which suggests that the uncertainty of these values may have been underestimated. Here we present results from absolute mass measurements of the deuteron and the ${HD}^+$ molecular ion against $^{12}C$ as a mass reference. Our value for the deuteron $m_d=2.013\,553\,212\,535 (17)$u supersedes the precision of the literature value by a factor of $2.4$ and deviates from this by $4.8$ standard deviations. With a relative uncertainty of $8$ parts per trillion (ppt) this is the most precise mass value measured directly in atomic mass units. Furthermore, the measurement of the ${HD}^+$ molecular ion, $m({HD}^+)=3.021\,378\,241\,561\,(61)$u, not only allows for a rigorous consistency check of our measurements of the masses of the deuteron (this work) and proton, but also establishes an additional link for the masses of tritium and helium-3 to the atomic mass unit. Combined with a recent measurement of the deuteron-to-proton mass ratio the uncertainty of the reference value of $m_p$ can be reduced by a factor of three. This is a post-peer-review, pre-copyedit version of an article published in Nature. The final authenticated version is available online at https://doi.org/10.1038/s41586-020-2628-7