dorsal/arxiv
View SchemaOctet and Decuplet Baryons in a Covariant and Confining Diquark-Quark Model
| Authors | M. Oettel, G. Hellstern, R. Alkofer, H. Reinhardt |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9805054 |
| URL | https://arxiv.org/abs/nucl-th/9805054 |
| DOI | 10.1103/PhysRevC.58.2459 |
| Journal | Phys.Rev.C58:2459-2477,1998 |
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.
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"abstract": "The baryon octet and decuplet masses and Bethe-Salpeter vertex and wave\nfunctions are calculated in the ladder approximation to the quark exchange\nbetween a scalar or axialvector diquark and a constituent quark. These\nfunctions reflecting full Lorentz covariance are given in terms of an expansion\nin Gegenbauer polynomials. In the rest frame of the baryon, a complete partial\nwave decomposition of the Bethe-Salpeter wave function is performed. The\nconfinement of quarks and diquarks is implemented via a parametrisation of the\ncorresponding propagators. We also discuss some aspects of the momentum routing\nin the ladder approximation to the Bethe-Salpeter equation. Numerical results\nfor the octet and decuplet masses with broken flavour SU(3) in the conserved\nisospin limit are presented.",
"arxiv_id": "nucl-th/9805054",
"authors": [
"M. Oettel",
"G. Hellstern",
"R. Alkofer",
"H. Reinhardt"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.58.2459",
"journal_ref": "Phys.Rev.C58:2459-2477,1998",
"title": "Octet and Decuplet Baryons in a Covariant and Confining Diquark-Quark Model",
"url": "https://arxiv.org/abs/nucl-th/9805054"
},
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