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Octet and Decuplet Baryons in a Covariant and Confining Diquark-Quark Model | | M. Oettel
; G. Hellstern
; R. Alkofer
; H. Reinhardt
; | | Date: |
29 May 1998 | | Journal: | Phys.Rev. C58 (1998) 2459-2477 | | Subject: | nucl-th hep-ph | | Abstract: | 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. | | Source: | arXiv, nucl-th/9805054 | | Services: | Forum | Review | PDF | Favorites | |
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