Calculation of the nonrelativistic Bethe logarithm in the velocity gauge

Details Calculation of the nonrelativistic Bethe logarithm in the velocity gauge Calculation of the nonrelativistic Bethe logarithm in the velocity gauge

2012-03-07

arxiv.org/abs/1203.1404v2

Physics

Atomic Physics

11 pages, 2 figures

Scientific paper

We consider a general procedure to evaluate the Bethe logarithm for a general few-body atomic or molecular system. As benchmarks we use calculation for the ground states of a helium atom and H_2^+ molecular ion. The obtained values are: \beta_He=4.37016022306(2) for the helium atom and \beta_{H_2^+} = 3.012230335(1) for the H_2^+. Both results substantially improve the best known values for these quantities.

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