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

Korobov, Vladimir I. (Dubna, JINR) ; Hilico, L. (U. Evry) ; Karr, J.-Ph. (U. Evry)

Published in: Phys.Rev.Lett.
Year: 2017
Vol.: 118    Num./Issue: 23
Page No: 233001
Pages: 5
Year: 2017-06-08 published

Abstract: We calculate ionization energies and fundamental vibrational transitions for H2+, D2+, 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 mα6 and mα7 are improved by including second-order contributions due to the vibrational motion of nuclei. Furthermore, we evaluate the largest corrections at the order mα8. 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.

Total numbers of views: 161
Numbers of unique views: 86
DOI: 10.1103/PhysRevLett.118.233001
 Record created 2017-07-04, last modified 2017-07-04

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