Higher-order relativistic contributions to the combined Zeeman and motional Stark effects in positronium

Journal Article · Wed Aug 01 04:00:00 EDT 1973 · Phys. Rev., A, v. 8, no. 2, pp. 625-639

DOI:https://doi.org/10.1103/PhysRevA.8.625· OSTI ID:4398996

Lewis, M L; Hughes, V W

A calculation of higher-order relativistic contributions to the combined Zeeman and motional Stark effects in positronium is presented. These contributions are necessary for the determination of the fine-structure interval in the ground state from the Zeeman effect and may be important in future experiments on the first excited states of positronium. The contributions to the g/sub j/ factors have been calculated to order alpha /sup 2/ for all the S states and for the 2P states. The energy levels and the higher-order corrections to the motional Stark effect in the first excited state are also presented. Relativistic contributions are obtained from the matrix elements of a Hamiltonian containing the Breit interaction, a Pauli Hamiltonian, and the virtual annihilation interaction. For all nS states the relativistic contributions to the Zeeman effect may be accounted for by the replacement of g/sub e/ by g/sub e/ (l - 5 alpha /sup 2//24n/ sup 2/ T/2mc/sup 2/), where T is the kinetic energy of the atom and g/sub e/ is the gyromagnetic ratio of the free electron. (auth)

• Research Organization: Gibbs Laboratory, Physics Department, Yale University, New Haven, Connecticut 06520
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-006076
• OSTI ID: 4398996
• Journal Information: Phys. Rev., A, v. 8, no. 2, pp. 625-639, Journal Name: Phys. Rev., A, v. 8, no. 2, pp. 625-639; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

*POSITRONIUM-- ZEEMAN EFFECT
CORRECTIONS
EXCITED STATES
FINE STRUCTURE
LANDE FACTOR
N60300* --Physics (Atomic & Molecular)--Positronium
Muonium
& Mesic Atoms & Molecules
QUANTUM ELECTRODYNAMICS
RELATIVISTIC RANGE