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Calculations on some properties of the pion in the framework of Schwinger-Dyson and Bethe-Salpeter equations

Technical Report:

Abstract

A phenomenological potential model, the modified flat-bottom potential, is assumed according to the flat-bottom potential and some physical considerations for the infrared and ultraviolet asymptotic behaviours of the effective quark-gluon coupling. Then, the propagator functions and mass function for the quark, and the Bethe-Salpeter wave functions, mass, electromagnetic form factor, radius and decay constant for the pion are calculated numerically in the framework of the Schwinger-Dyson and Bethe-Salpeter equations with the modified flat-bottom potential. In order to obtain these, the Schwinger-Dyson and Bethe-Salpeter equations in the modified flat-bottom potential model are solved simultaneously by numerical iteration in the ladder approximation, and without any further one. Our results for the asymptotic quark mass function and the bound state wave functions agree with those derived from other theories and for the electromagnetic form factor, mass, radius and decay constant of the pion agree with experimental results, respectively. (author). 14 refs, 9 figs.
Authors:
Shaolong, Wan; [1]  Kelin, Wang [2] 
  1. International Centre for Theoretical Physics, Trieste (Italy)
  2. University of Science and Technology of China, Hefei, Anhui (China). Center for Fundamental Physics
Publication Date:
Aug 01, 1993
Product Type:
Technical Report
Report Number:
IC-93/242
Reference Number:
SCA: 662420; PA: AIX-25:007420; EDB-94:015849; ERA-19:007659; NTS-94:015108; SN: 94001126958
Resource Relation:
Other Information: PBD: Aug 1993
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; PIONS; ELECTROMAGNETIC FORM FACTORS; HALF-LIFE; PARTICLE RADII; EXPERIMENTAL DATA; PROPAGATOR; QUARKS; THEORETICAL DATA; 662420; PROPERTIES OF MESONS AND MESON RESONANCES
OSTI ID:
10113804
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE94611232; TRN: XA9335341007420
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
28 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Shaolong, Wan, and Kelin, Wang. Calculations on some properties of the pion in the framework of Schwinger-Dyson and Bethe-Salpeter equations. IAEA: N. p., 1993. Web.
Shaolong, Wan, & Kelin, Wang. Calculations on some properties of the pion in the framework of Schwinger-Dyson and Bethe-Salpeter equations. IAEA.
Shaolong, Wan, and Kelin, Wang. 1993. "Calculations on some properties of the pion in the framework of Schwinger-Dyson and Bethe-Salpeter equations." IAEA.
@misc{etde_10113804,
title = {Calculations on some properties of the pion in the framework of Schwinger-Dyson and Bethe-Salpeter equations}
author = {Shaolong, Wan, and Kelin, Wang}
abstractNote = {A phenomenological potential model, the modified flat-bottom potential, is assumed according to the flat-bottom potential and some physical considerations for the infrared and ultraviolet asymptotic behaviours of the effective quark-gluon coupling. Then, the propagator functions and mass function for the quark, and the Bethe-Salpeter wave functions, mass, electromagnetic form factor, radius and decay constant for the pion are calculated numerically in the framework of the Schwinger-Dyson and Bethe-Salpeter equations with the modified flat-bottom potential. In order to obtain these, the Schwinger-Dyson and Bethe-Salpeter equations in the modified flat-bottom potential model are solved simultaneously by numerical iteration in the ladder approximation, and without any further one. Our results for the asymptotic quark mass function and the bound state wave functions agree with those derived from other theories and for the electromagnetic form factor, mass, radius and decay constant of the pion agree with experimental results, respectively. (author). 14 refs, 9 figs.}
place = {IAEA}
year = {1993}
month = {Aug}
}