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Title: Theory of the Lamb Shift and fine structure in muonic {sup 4}He ions and the muonic {sup 3}He– {sup 4}He Isotope Shift

Journal Article · · Annals of Physics
 [1];  [1];  [2];  [2];  [3]
  1. Max Planck Institute of Quantum Optics, 85748 Garching (Germany)
  2. Institute for Particle Physics and Astrophysics, ETH Zurich, 8093 Zurich (Switzerland)
  3. Johannes Gutenberg-Universität Mainz, QUANTUM, Institut für Physik & Exzellenzcluster PRISMA, 55099, Mainz (Germany)

We provide an up to date summary of the theory contributions to the 2S → 2P Lamb shift and the fine structure of the 2P state in the muonic helium ion (μ{sup 4}He){sup +}. This summary serves as the basis for the extraction of the alpha particle charge radius from the muonic helium Lamb shift measurements at the Paul Scherrer Institute, Switzerland. Individual theory contributions needed for a charge radius extraction are compared and compiled into a consistent summary. The influence of the alpha particle charge distribution on the elastic two-photon exchange is studied to take into account possible model-dependencies of the energy levels on the electric form factor of the nucleus. We also discuss the theory uncertainty which enters the extraction of the {sup 3}He–{sup 4}He isotope shift from the muonic measurements. The theory uncertainty of the extraction is much smaller than a present discrepancy between previous isotope shift measurements. This work completes our series of n=2 theory compilations in light muonic atoms which we have performed already for muonic hydrogen, deuterium, and helium-3 ions.

OSTI ID:
22852279
Journal Information:
Annals of Physics, Vol. 396; Other Information: © 2018 Elsevier Inc. All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
Country of Publication:
United States
Language:
English

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