Octet and Decuplet Baryons in a Covariant and Confining Diquark-Quark Model

Details Octet and Decuplet Baryons in a Covariant and Confining Diquark-Quark Model Octet and Decuplet Baryons in a Covariant and Confining Diquark-Quark Model

1998-05-29

arxiv.org/abs/nucl-th/9805054v2

Phys.Rev.C58:2459-2477,1998

Physics

Nuclear Physics

Nuclear Theory

36 pages, 10 figures, LaTeX-Style article using epsfig. Bug in program code detected; numerical results changed slightly, i.e.

Scientific paper

10.1103/PhysRevC.58.2459

The baryon octet and decuplet masses and Bethe-Salpeter vertex and wave functions are calculated in the ladder approximation to the quark exchange between a scalar or axialvector diquark and a constituent quark. These functions reflecting full Lorentz covariance are given in terms of an expansion in Gegenbauer polynomials. In the rest frame of the baryon, a complete partial wave decomposition of the Bethe-Salpeter wave function is performed. The confinement of quarks and diquarks is implemented via a parametrisation of the corresponding propagators. We also discuss some aspects of the momentum routing in the ladder approximation to the Bethe-Salpeter equation. Numerical results for the octet and decuplet masses with broken flavour SU(3) in the conserved isospin limit are presented.

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