Theoretical progress in the H 2 + molecular ion: Towards electron to proton mass ratio determination

摘要

High resolution ro-vibrational spectroscopy of H~+_2 or HD~+ can lead to a significantly improved determination of the electron to proton mass ratio m_e/m_p if the theoretical determination of transition frequencies becomes sufficiently accurate. We report on recent theoretical progress in the description of the hyperfine structure of H~+_2, as well as first steps in the evaluation of radiative corrections at order mα7. Completion of the latter calculation should allow us to reach the projected 10~(-10) accuracy level and open the road to mass ratio determination.