Vacuum polarization in muonic and antiprotonic atoms: the fine structure at medium Z

Abstract

Effects of vacuum polarization modify the energy levels in atoms with an orbiting particle heavier than an electron. The dominant effect is due to the Uehling potential. In this paper we consider the relativistic corrections to the energy levels caused by the Uehling potential and in particular the fine structure in muonic and antiprotonic atoms. We derive general expressions and consider in detail specific regions of parameters which allow simple asymptotic expansion. We take into account the recoil effects and anomalous magnetic moment in the case of an antiproton as the orbiting particle.

References in corpus (1)

• Vacuum polarization in muonic atoms: the Lamb shift at low and medium Z

Cited by in corpus (6)

• Relativistic recoil corrections to the electron-vacuum-polarization contribution in light muonic atoms
• The ${\alpha }^2(Z\alpha {)}^{4}m$ contributions to the Lamb shift and the fine structure in light muonic atoms
• Relativistic recoil effects in a muonic atom within a Grotch-type approach: General approach
• Relativistic recoil effects for energy levels in a muonic atom within a Grotch-type approach: An application to the one-loop electronic vacuum polarization
• Relativistic recoil effects to energy levels in a muonic atom: a Grotch-type calculation of the second-order vacuum-polarization contributions
• The Uehling correction in muonic atoms exactly in Zα