Some approximate positronium solutions to the Breit-Coulomb equation

Journal Article · Thu Jan 31 23:00:00 EST 1991 · Physical Review, A; (USA)

DOI:https://doi.org/10.1103/PhysRevA.43.1233· OSTI ID:5865606

Malenfant, J ^[1]

---

1. Physical Review Letters, P.O. Box 1000, Ridge, New York 11961-2701 (US)

Positronium wave functions that are approximate solutions to the Breit-Coulomb equation are constructed for the 1 {sup 1}{ital S}{sub 0}, the ({ital L}+1) {sup 3}{ital L}{sub {ital J}}, and the non-{ital S} {sup 1}L{sub L} states. The energies of these wave functions are accurate up through {ital O}({alpha}{sup 4}), giving the correct Coulomb part of the positronium energy levels to this order. Using only first-order perturbation theory, the energy eigenvalues of the Breit-Coulomb equation are calculated to {ital O}({alpha}{sup 6}) for these quantum states.

• OSTI ID: 5865606
• Journal Information: Physical Review, A; (USA), Journal Name: Physical Review, A; (USA) Vol. 43:3; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640303* -- Atomic
Molecular & Chemical Physics-- Positronium
Muonium
& Muonic & Mesic Atoms & Molecules
74 ATOMIC AND MOLECULAR PHYSICS
BETHE-SALPETER EQUATION
CORRECTIONS
COULOMB CORRECTION
COULOMB FIELD
EIGENVALUES
ELECTRIC FIELDS
ELECTRODYNAMICS
ENERGY LEVELS
EQUATIONS
FIELD THEORIES
FUNCTIONS
POSITRONIUM
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
WAVE FUNCTIONS