Journal
PHYSICAL REVIEW LETTERS
Volume 118, Issue 23, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.118.233001
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Funding
- Universite Pierre et Marie Curie (UPMC)
- Institut Universitaire de France
- Russian Foundation for Basic Research [15-02-01906-a]
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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 a is used. Previous calculations of orders m alpha(6) and m alpha(7) are improved by including second-order contributions due to the vibrational motion of nuclei. Furthermore, we evaluate the largest corrections at the order m alpha(8). That allows us to reduce the fractional uncertainty to the level of 7.6 x 10(-12) for fundamental transitions and to 4.5 x 10(-12) for the ionization energies.
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