A New Tool for the Lamb Shift Calculation
Abstract
We solve the Bethe-Salpeter equation for hydrogenic bound states by choosing an appropriate interaction kernel Kc. We want to use our solution to calculate up to a higher order the hydrogen Lamb-shift, and as a first application we present up to order ( / π)()7 the contribution of the lowest order self-energy graph, calculated exactly. The basic formalism is a natural extension to the hydrogenic bound states of the one previously presented by R. Barbieri and E. Remiddi and used in the case of positronium.
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