Nonrelativistic contributions of order {alpha}{sup 5}m{sub {mu}c}{sup 2} to the Lamb shift in muonic hydrogen and deuterium, and in the muonic helium ion

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.060501· OSTI ID:21407872

Karshenboim, S G; Ivanov, V G; Korzinin, E Yu; Shelyuto, V A ^[1]

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1. D. I. Mendeleev Institute for Metrology, St. Petersburg RU-190005 (Russian Federation) and Max-Planck-Institut fuer Quantenoptik, Garching D-85748 (Germany)

Contributions to the energy levels in light muonic atoms and, in particular, to the Lamb shift fall into a few well-distinguished classes. The related diagrams are calculated using different approaches. In particular, there is a specific type of nonrelativistic (NR) contribution. Here, we consider such corrections to the Lamb shift of order {alpha}{sup 5}m{sub {mu}.} These contributions are due to free vacuum-polarization loops as well as to various effects of light-by-light scattering. The closed loop in the related diagrams is an electronic one, which allows an NR consideration of the muon. Both types of contributions have been known for some time, however, the results obtained to date are only partial results. We complete a calculation of the {alpha}{sup 5}m{sub {mu}}contributions for muonic hydrogen. The results are also adjusted for muonic deuterium atom and helium ion.

• OSTI ID: 21407872
• Journal Information: Physical Review. A, Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevA.81.060501; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CORRECTIONS
DEUTERIUM
DIAGRAMS
ENERGY LEVELS
HELIUM IONS
HYDROGEN
LAMB SHIFT
MUONIC ATOMS
VACUUM POLARIZATION
ATOMS
CHARGED PARTICLES
ELEMENTS
HYDROGEN ISOTOPES
INFORMATION
IONS
ISOTOPES
LIGHT NUCLEI
NONMETALS
NUCLEI
ODD-ODD NUCLEI
SPECTRAL SHIFT
STABLE ISOTOPES