Theoretical progress in the H2 towards electron to proton mass ratio determination

摘要

Abstract: High resolution ro-vibrational spectroscopy of H2n+nor HD+ can lead to a significantly improved determination ofnthe electron to proton mass ratio me/mp if the theoretical determination of transition frequencies becomes sufficiently accu-nrate. We report on recent theoretical progress in the description of the hyperfine structure of H2n+n, as well as first steps innthe evaluation of radiative corrections at order ma7. Completion of the latter calculation should allow us to reach the pro-njected 10–10 accuracy level and open the road to mass ratio determination.