Anomalous contributions to the positronium hyperfine splitting and the radiation gauge
By recasting the Bethe-Salpeter equation in a more general form, the natural ensuing bound-state perturbation theory accounts for the anomalous ..cap alpha../sup 6/ ln..cap alpha../sup -1/ contribution of the fourth-order vacuum polarization to the ground state of the positronium hyperfine structure as a binding correction of a two-photon diagram. Viewed as such, this contribution is not anomalous. Another two-photon diagram, in which such a binding correction makes it a candidate for an ..cap alpha../sup 6/ ln..cap alpha../sup -1/ contribution, is found. By using the Bethe-Salpeter equation recast in the more general form and the perturbation theory associated with it, the formal connection with the external field approximation is given.
- Research Organization:
- Department of Physics, Ben Gurion University of the Negev, Beer Sheva, Israel
- OSTI ID:
- 7219659
- Journal Information:
- Phys. Rev., A; (United States), Journal Name: Phys. Rev., A; (United States) Vol. 16:1; ISSN PLRAA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
Molecular & Chemical Physics-- Positronium
Muonium
& Muonic & Mesic Atoms & Molecules
74 ATOMIC AND MOLECULAR PHYSICS
BETHE-SALPETER EQUATION
BOUND STATE
ELECTRODYNAMICS
ENERGY LEVELS
EQUATIONS
FIELD THEORIES
GROUND STATES
HYPERFINE STRUCTURE
PERTURBATION THEORY
POSITRONIUM
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
VACUUM POLARIZATION