Solution of the Dirac Equation for Scalar Potentials and its Implications in Atomic Physics

Abstract
The Dirac equation is solved for mixed vector-scalar potentials. The limits on the scalar coupling constant are set by precision atomic experiments, We obtain the maximal size of the scalar coupling constant α' = 2.5·10-8 per charge unit. Deviations from the Mott scattering are also determined.

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