The Uehling correction to the energy levels in a pionic atom
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-elect...
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Zusammenfassung: | 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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DOI: | 10.48550/arxiv.physics/0510079 |