The Uehling correction in muonic atoms exactly in Zα

Abstract

The Uehling correction to the energy levels is presented in terms of the hypergeometric functions 2F1. This presentation allows to derived various asymptotics and approximations. Further applications of this method to other atomic characteristics are also considered.

References in corpus (6)

• Second-order corrections to the wave function at origin in muonic hydrogen and pionium
• The $g$ factor of an electron or muon bound by an arbitrary central potential
• Vacuum polarization in muonic atoms: the Lamb shift at low and medium Z
• Vacuum polarization in muonic and antiprotonic atoms: the fine structure at medium Z
• The Uehling correction to the energy levels in a pionic atom
• Corrections to the energy levels of a spin-zero particle bound in a strong field

Cited by in corpus (2)

• Non-relativistic bound states at finite temperature (II): the muonic hydrogen
• Relativistic recoil effects for energy levels in a muonic atom within a Grotch-type approach: An application to the one-loop electronic vacuum polarization