OCTET AND DECUPLET BARYONS IN A COVARIANT AND CONFINING DIQUARK-QUARKMODEL

Citation
M. Oettel et al., OCTET AND DECUPLET BARYONS IN A COVARIANT AND CONFINING DIQUARK-QUARKMODEL, Physical review. C. Nuclear physics, 58(4), 1998, pp. 2459-2477
Citations number
40
Categorie Soggetti
Physics, Nuclear
ISSN journal
05562813
Volume
58
Issue
4
Year of publication
1998
Pages
2459 - 2477
Database
ISI
SICI code
0556-2813(1998)58:4<2459:OADBIA>2.0.ZU;2-R
Abstract
The baryon octet and decuplet masses and Bethe-Salpeter vertex and wav e functions are calculated in the ladder approximation to the quark ex change between a scalar or axialvector diquark and a constituent quark . These functions reflecting full Lorentz covariance are given in term s of an expansion in Gegenbauer polynomials. In the rest frame of the baryon, a complete partial wave decomposition of the Bethe-Salpeter wa ve function is performed. The confinement of quarks and diquarks is im plemented via a parametrization of the corresponding propagators. We a lso discuss some aspects of the momentum routing in the ladder approxi mation to the Bethe-Salpeter equation. Numerical results for the octet and decuplet masses with broken flavor SU(3) in the conserved isospin limit are presented. [S0556-2813(98)00810-3].