A New Tool for the Lamb Shift Calculation

Details A New Tool for the Lamb Shift Calculation A New Tool for the Lamb Shift Calculation

1994-02-24

arxiv.org/abs/hep-ph/9402346v1

Z.Phys. C63 (1994) 455-462

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, Latex, Preprint DFUB-94-03

Scientific paper

10.1007/BF01580325

We solve the Bethe-Salpeter equation for hydrogenic bound states by choosing an appropriate interaction kernel $K_c$. 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 $\left(\aa / \pi\right)(\za)^7$ the contribution of the lowest order self-energy graph, calculated {\it 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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