Calculation of the nonrelativistic Bethe logarithm in the velocity gauge

Abstract

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: β_He=4.37016022306(2) for the helium atom and β_{H_2^+} = 3.012230335(1) for the H_2^+. Both results substantially improve the best known values for these quantities.

11 pages, 2 figures

References in corpus (1)

• Reexamination of helium fine structure

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