The Uehling correction to the energy levels in a pionic atom

Abstract

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.

References in corpus (2)

• Light Fermion Finite Mass Effects in Non-relativistic Bound States
• Corrections to the energy levels of a spin-zero particle bound in a strong field

Cited by in corpus (6)

• S-Wave Scattering of Fermion Revisited
• First measurement of kaonic helium-3 X-rays
• Measurements of the strong-interaction widths of the kaonic 3He and 4He 2p levels
• Vacuum polarization in muonic atoms: the Lamb shift at low and medium Z
• The kaonic atoms research program at DAΦNE: from SIDDHARTA to SIDDHARTA-2
• The Uehling correction in muonic atoms exactly in Zα