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We have performed a pure optical frequency measurement of the 2S-12D two-photon transitions in atomic hydrogen and deuterium. From a complete analysis taking into account this result and all other precise measurements (by ourselves and other authors), we deduce optimized values for the Rydberg constant, R ` For many years, Doppler free two-photon… (More)

- Randolf Pohl, Aldo Antognini, François Nez, Fernando D Amaro, François Biraben, João M R Cardoso +26 others
- Nature
- 2010

The proton is the primary building block of the visible Universe, but many of its properties-such as its charge radius and its anomalous magnetic moment-are not well understood. The root-mean-square charge radius, r(p), has been determined with an accuracy of 2 per cent (at best) by electron-proton scattering experiments. The present most accurate value of… (More)

- Aldo Antognini, François Nez, Karsten Schuhmann, Fernando D Amaro, François Biraben, João M R Cardoso +29 others
- Science
- 2013

Accurate knowledge of the charge and Zemach radii of the proton is essential, not only for understanding its structure but also as input for tests of bound-state quantum electrodynamics and its predictions for the energy levels of hydrogen. These radii may be extracted from the laser spectroscopy of muonic hydrogen (μp, that is, a proton orbited by a muon).… (More)

- F. Biraben
- 2008

This article presents a review of the most recent theoretical and experimental results in hydrogen. We particularly emphasize the methods used to deduce the Rydberg constant R∞ and we consider the prospects for future improvements in the precision of R∞.

We use Bloch oscillations to transfer coherently many photon momenta to atoms. Then we can measure accurately the recoil velocity k/m and deduce the fine structure constant α. The velocity variation due to Bloch oscillations is measured using atom interferometry. This method yields to a value of the fine structure constant α −1 = 137.035 999 45 (62) with a… (More)

- Randolf Pohl, François Nez, Luis M P Fernandes, Fernando D Amaro, François Biraben, João M R Cardoso +27 others
- Science
- 2016

The deuteron is the simplest compound nucleus, composed of one proton and one neutron. Deuteron properties such as the root-mean-square charge radius rd and the polarizability serve as important benchmarks for understanding the nuclear forces and structure. Muonic deuterium μd is the exotic atom formed by a deuteron and a negative muon μ(-). We measured… (More)

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