6 papers · 1 filter
One-loop self-energy using a numerical Green function
Hugo D. Nogueira, Maen Salman, Jean-Philippe Karr
We calculate the one-loop self-energy in hydrogenlike atoms using a numerical Green function obtained by solving the radial Dirac equation in an exponential basis set. The self-ene…
High-precision Penning-trap spectroscopy of the ground-state spin structure of HD+
Charlotte M. König, Matthew Bohman, Fabian HeiÃe +10
We present high-precision spectroscopy of the ground-state hyperfine structure of HD at 4~T. We determine the bound-electron factor, $g_{e,\mathrm{bound}} = -2.002\,278\,54…
Photodetachment energy of negative hydrogen ions
Maen Salman, Jean-Philippe Karr
We report a high-precision calculation of the photodetachment energy of the hydrogen anion \mathrm{H}^{-}. The nonrelativistic bound-state energy is obtained using an exact three-b…
Precision calculation of the bound-electron factor in molecular hydrogen ions
Ossama Kullie, Hugo D. Nogueira, Jean-Philippe Karr
We calculate the bound-electron factor for a wide range of rovibrational states of the molecular hydrogen ions H and HD. Relativistic and QED corrections of orders up…
Second-order corrections of orders and to the spin-averaged energy in the HD and H ions
Vladimir I. Korobov, Jean-Philippe Karr, Zhen-Xiang Zhong
The relativistic second-order corrections at orders and in hydrogen molecular ions are calculated. Convergence of numerical results is studied, which allows es…
Prospects for the determination of fundamental constants with beyond-state-of-the-art uncertainty using molecular hydrogen ion spectroscopy
Stephan Schiller, Jean-Philippe Karr
The proton, deuteron and triton masses can be determined relative to the electron mass via rovibrational spectroscopy of molecular hydrogen ions. This has to occur via comparison o…