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 · Sat Sep 15 04:00:00 EDT 2018 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2018.07.015· OSTI ID:22852279

Diepold, Marc ^[1]; Franke, Beatrice ^[1]; Antognini, Aldo ^[2]; Kottmann, Franz ^[2]; Pohl, Randolf ^[3]

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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, Journal Name: Annals of Physics Vol. 396; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ALPHA PARTICLES
CHARGE DISTRIBUTION
DEUTERIUM IONS
ENERGY LEVELS
FINE STRUCTURE
FORM FACTORS
HELIUM 3
HELIUM 4
HELIUM IONS
HYDROGEN IONS
LAMB SHIFT
MUONIC ATOMS
MUONIC IONS
PHOTONS
SWISS ORGANIZATIONS