LKB - Trapped Ions Metrology


Mohammad Haidar (PhD)
Laurent Hilico
Jean-Philippe Karr
Vladimir Korobov (Visitor)


Proton–electron mass ratio from HD+ revisited
J. Phys. B: At. Mol. Opt. Phys. 51, 024003 (2018)

mα7-Order Corrections in the Hydrogen Molecular Ions and Antiprotonic Helium.
Phys. Rev. Lett. 118, 233001 (2017)

Theoretical Hyperfine Structure of the Molecular Hydrogen Ion at the 1 ppm Level.
Phys. Rev. Lett. 116, 053003 (2016)



Since the advent of Quantum Electrodynamics, the theory of hydrogenlike (two-body) atoms has reached a remarkable level of accuracy, which led to use these systems for the determination of fundamental physical constants (Rydberg constant, proton charge radius). Our main aim is to improve the theoretical description of molecular three-body systems such as the H2+ and HD+ ions, through a systematic evaluation of QED corrections. Together with laser spectroscopy experiments being developed in several groups, including ours, this will allow for precise tests of QED and contribute to improving our knowledge of the fundamental constants.
These calculations rely on the resolution of the 3-body Schrödinger equation with very high accuracy by variational methods. QED corrections are then calculated by using the nonrelativistic perturbation theory, within an effective Hamiltonian approach called nonrelativistic QED.
This research program is carried out in collaboration with Vladimir Korobov (Joint Institute for Nuclear Research, Dubna, Russia).