“…However, fluctuations in their M. Hori Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, 85748 Garching, Germany M. Hori (B) · A. Dax Department of Physics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-0033, Japan e-mail: Masaki.Hori@cern.ch frequency and linewidth, and the difficulty in calibrating their wavelengths generally limit the fractional precision attainable with these lasers to around 1 part in 10 6 . Over the years we refined these nanosecond lasers, thereby measuring the pHe + frequencies with successively higher precisions, from 2 parts in 10 7 [2] to 1 part in 10 8 [3,4]. By comparing the results with three-body QED calculations [7][8][9], the antiproton-to-electron mass ratio was recently derived [4].…”