O (. cap alpha. /sup 2/ ln(. cap alpha. /sup -1/)) corrections in positronium: Hyperfine splitting and decay rate

Journal Article · Sun Jul 01 00:00:00 EDT 1979 · Phys. Rev., A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.20.36· OSTI ID:6129244

Caswell, W E; Lepage, G P

The authors have analyzed the terms of relative order ..cap alpha../sup 2/ ln(..cap alpha../sup -1/) that come from annihilation kernels in positronium, and have found a contribution of ..cap alpha../sup 6/ ln(..cap alpha../sup -1/) m/sub e//24 to positronium hyperfine splitting from annihilation kernels, including several new contributions. The resulting hyperfine splitting is 203.4003 GHz, with terms of order ..cap alpha../sup 6/m/sub e//2approx.0.01 GHz uncomputed. The contributions to the decay rates of ortho- and parapositronium have also been calculated. For orthopositronium the result is -..cap alpha../sup 2/ ln(..cap alpha../sup -1/) GAMMA/sub 0//3. The authors present in more detail the theoretical analysis leading to their previous ..cap alpha..GAMMA/sub 0/ calculation and improve on the numerical results. The resulting theoretical orthopositronium decay rate is 7.0386 +- 0.0002 ..mu..sec/sup -1/, with terms of order ..cap alpha../sup 2/GAMMA/sub 0/=0.0004 ..mu..sec/sup -1/ uncalculated.

• Research Organization: Department of Physics, Brown University, Providence, Rhode Island 02912
• OSTI ID: 6129244
• Journal Information: Phys. Rev., A; (United States), Journal Name: Phys. Rev., A; (United States) Vol. 20:1; 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
ANNIHILATION
BASIC INTERACTIONS
BOUND STATE
ELECTRODYNAMICS
ELECTROMAGNETIC INTERACTIONS
FIELD THEORIES
HYPERFINE STRUCTURE
INTERACTIONS
POSITRONIUM
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY