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 H2+ molecular ion. The obtained values are: βHe=4.37016022306(2) for the helium atom and βH2+ = 3.012230335(1) for the H2+. Both results substantially improve the best known values for these quantities.
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