The Uehling correction to the energy levels in a pionic atom

Physics – Atomic Physics

Scientific paper

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Scientific paper

10.1139/P06-010

We consider a correction to energy levels in a pionic atom induced by the
Uehling potential, i.e., by a free electron vacuum-polarization loop. The
calculation is performed for circular states (l=n-1). The result is obtained in
a closed analytic form as a function of $ Z\alpha$ and the pion-to-electron
mass ratio. Certain asymptotics of the result are also presented.

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