Universal Binding and Recoil Corrections to Bound State g Factors in Hydrogenlike Ions

Journal Article · Fri Sep 03 00:00:00 EDT 2010 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.105.100402· OSTI ID:21470910

Eides, Michael I; Martin, Timothy J. S. ^[1]

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1. Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506 (United States)

The leading relativistic and recoil corrections to bound state g factors of particles with arbitrary spin are calculated. It is shown that these corrections are universal for any spin and depend only on the free particle gyromagnetic ratios. To prove this universality we develop nonrelativistic quantum electrodynamics (NRQED) for charged particles with an arbitrary spin. The coefficients in the NRQED Hamiltonian for higher spin particles are determined only by the requirements of Lorentz invariance and local charge conservation in the respective relativistic theory. For spin one charged particles, the NRQED Hamiltonian follows from the renormalizable QED of the charged vector bosons. We show that universality of the leading relativistic and recoil corrections can be explained with the help of the Bargmann-Michael-Telegdi equation.

• OSTI ID: 21470910
• Journal Information: Physical Review Letters, Vol. 105, Issue 10; Other Information: DOI: 10.1103/PhysRevLett.105.100402; (c) 2010 American Institute of Physics; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
74 ATOMIC AND MOLECULAR PHYSICS
BOSONS
BOUND STATE
CHARGE CONSERVATION
CORRECTIONS
GYROMAGNETIC RATIO
HAMILTONIANS
LANDE FACTOR
LORENTZ INVARIANCE
MULTICHARGED IONS
QUANTUM ELECTRODYNAMICS
RECOILS
RELATIVISTIC RANGE
SPIN
ANGULAR MOMENTUM
CHARGED PARTICLES
DIMENSIONLESS NUMBERS
ELECTRODYNAMICS
ENERGY RANGE
FIELD THEORIES
INVARIANCE PRINCIPLES
IONS
MATHEMATICAL OPERATORS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS