Relativistic recoil corrections to the electron-vacuum-polarization contribution in light muonic atoms
Abstract
The relativistic recoil contributions to the Uehling corrections are revisited. A controversy in recent calculations is considered, which is based on different approaches including Breit-type and Grotch-type calculations. It is found that calculations in those works were in fact done in different gauges and in some of those gauges contributions to retardation and two-photon-exchange effects were missed. Such effects are evaluated and a consistent result is obtained. A correct expression for the Grotch-type approach is presented, which produces a correct gauge-invariant result. A finite-nuclear-size correction for the Uehling term is also considered. The results are presented for muonic hydrogen and deuterium atoms and for muonic 3He and 4He ions.
- Publication:
-
Physical Review A
- Pub Date:
- March 2012
- DOI:
- 10.1103/PhysRevA.85.032509
- arXiv:
- arXiv:1112.2739
- Bibcode:
- 2012PhRvA..85c2509K
- Keywords:
-
- 31.30.jr;
- 12.20.Ds;
- QED corrections in muonic hydrogen and deuterium;
- Specific calculations;
- Physics - Atomic Physics
- E-Print:
- Submitted to Phys. Rev. A