Vacuum polarization in muonic atoms: the Lamb shift at low and medium Z
- 59 Downloads
In muonic atoms the Uehling potential (an effect of a free electronic vacuum polarization loop) is responsible for the leading contribution to the Lamb shift causing the splitting of states with Δn=0 and Δl≠0. Here we consider the Lamb shift in the leading nonrelativistic approximation, i.e., within an approach based on a certain Schrödinger equation. That is valid for low and medium Z as long as (Zα)2≪1. The result is a function of a few parameters, including κ=Zαmμ/me, n and l. We present various asymptotics and in particular we study a region of validity of asymptotics with large and small κ. Special attention is paid to circular states, which are considered in a limit of n≫1.
PACS.36.10.Gv Mesonic atoms and molecules, hyperonic atoms and molecules 31.30.Jv Relativistic and quantum electrodynamic effects in atoms and molecules
Unable to display preview. Download preview PDF.
- L.D. Landau, E.M. Lifshitz, Course of theoretical physics, Quantum electrodynamics (Pergamon press, Oxford, 1982), Vol. 4 Google Scholar
- L.J. Slatter, Generalized hypergeometric functions (Cambridge University Press, 1966) Google Scholar
- J. Schwinger, Particles, Sources, and Fields (Perseus Book, Reading, 1998), Vol. 2. Google Scholar
- L.D. Landau, E.M. Lifshitz, Course of theoretical physics, Quantum mechanics (Pergamon press, Oxford, 1977), Vol. 3 Google Scholar