Fundamental Transitions and Ionization Energies of the Hydrogen Molecular Ions with Few ppt Uncertainty.

Autor: Korobov VI; Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia., Hilico L; Laboratoire Kastler Brossel, UPMC-Université Paris 6, ENS, CNRS, Collège de France 4 place Jussieu, F-75005 Paris, France and Université d'Evry-Val d'Essonne, Boulevard François Mitterrand, F-91000 Evry, France., Karr JP; Laboratoire Kastler Brossel, UPMC-Université Paris 6, ENS, CNRS, Collège de France 4 place Jussieu, F-75005 Paris, France and Université d'Evry-Val d'Essonne, Boulevard François Mitterrand, F-91000 Evry, France.
Jazyk: angličtina
Zdroj: Physical review letters [Phys Rev Lett] 2017 Jun 09; Vol. 118 (23), pp. 233001. Date of Electronic Publication: 2017 Jun 08.
DOI: 10.1103/PhysRevLett.118.233001
Abstrakt: We calculate ionization energies and fundamental vibrational transitions for H_{2}^{+}, D_{2}^{+}, and HD^{+} molecular ions. The nonrelativistic quantum electrodynamics expansion for the energy in terms of the fine structure constant α is used. Previous calculations of orders mα^{6} and mα^{7} are improved by including second-order contributions due to the vibrational motion of nuclei. Furthermore, we evaluate the largest corrections at the order mα^{8}. That allows us to reduce the fractional uncertainty to the level of 7.6×10^{-12} for fundamental transitions and to 4.5×10^{-12} for the ionization energies.
Databáze: MEDLINE