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Logarithmic corrections of the two-body QED problem

Technical Report:

Abstract

The logarithmic part of the Lamb shift, the contribution of the relative order {alpha}{sup 3}log(1/{alpha}) to the atomic state energy, is related to the usual infrared divergence. For positronium, the calculated logarithmic correction does not vanish only in n{sup 3}S{sub 1} states and constitutes 5/24m{alpha}{sup 6}log(1/{alpha})/m{sup 3}. Logarithmic corrections of the relative order {alpha}{sup 2}log(1/{alpha}) to the positronium decay rate are also of the relativistic origin and can be easily computed within the same approach. 31 refs.; 11 figs.
Publication Date:
Dec 31, 1992
Product Type:
Technical Report
Report Number:
BUDKERINP-92-57; IYaF-92-57.
Reference Number:
SCA: 662220; PA: AIX-25:007211; EDB-94:015715; ERA-19:007595; NTS-94:015101; SN: 94001126883
Resource Relation:
Other Information: PBD: 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; POSITRONIUM; DECAY; ELECTRON REACTIONS; BOUND STATE; CORRECTIONS; COULOMB FIELD; ENERGY LEVELS; ENERGY SPECTRA; FEYNMAN DIAGRAM; INFRARED DIVERGENCES; LAMB SHIFT; NUCLEAR REACTION KINETICS; TWO-BODY PROBLEM; 662220; QUANTUM ELECTRODYNAMICS
OSTI ID:
10113757
Research Organizations:
AN SSSR, Novosibirsk (Russian Federation). Inst. Yadernoj Fiziki
Country of Origin:
Russian Federation
Language:
English
Other Identifying Numbers:
Other: ON: DE94611157; TRN: RU9305302007211
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
27 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Khriplovich, I B, Mil`shtejn, A I, and Elkhovskij, A S. Logarithmic corrections of the two-body QED problem. Russian Federation: N. p., 1992. Web.
Khriplovich, I B, Mil`shtejn, A I, & Elkhovskij, A S. Logarithmic corrections of the two-body QED problem. Russian Federation.
Khriplovich, I B, Mil`shtejn, A I, and Elkhovskij, A S. 1992. "Logarithmic corrections of the two-body QED problem." Russian Federation.
@misc{etde_10113757,
title = {Logarithmic corrections of the two-body QED problem}
author = {Khriplovich, I B, Mil`shtejn, A I, and Elkhovskij, A S}
abstractNote = {The logarithmic part of the Lamb shift, the contribution of the relative order {alpha}{sup 3}log(1/{alpha}) to the atomic state energy, is related to the usual infrared divergence. For positronium, the calculated logarithmic correction does not vanish only in n{sup 3}S{sub 1} states and constitutes 5/24m{alpha}{sup 6}log(1/{alpha})/m{sup 3}. Logarithmic corrections of the relative order {alpha}{sup 2}log(1/{alpha}) to the positronium decay rate are also of the relativistic origin and can be easily computed within the same approach. 31 refs.; 11 figs.}
place = {Russian Federation}
year = {1992}
month = {Dec}
}