dorsal/arxiv
View SchemaThe d'-dibaryon in a colored cluster model
| Authors | A. J. Buchmann, Georg Wagner, Amand Faessler |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9803025 |
| URL | https://arxiv.org/abs/nucl-th/9803025 |
| DOI | 10.1103/PhysRevC.57.3340 |
| Journal | Phys.Rev.C57:3340-3355,1998 |
Abstract
The mass and wave function of a six-quark system with quantum numbers J^P=0^-, T=0, called d', are calculated. We use a colored diquark-tetraquark cluster model for the six-quark wave function. A constituent quark model Hamiltonian with a two-body confinement potential, and residual one-gluon, one-pion, and one-sigma exchange interactions is used. The complications due to the quark exchange interactions between tetraquark and diquark clusters (Pauli principle) are taken into account within the framework of the Resonating Group Method. The calculated d' mass is some 350 MeV above the empirical value if the same two-body confinement strength as in the nucleon and Delta is used. This paper also examines the validity of the usual assumption of a universal two-quark confinement strength. We propose that the effective two-body confinement strength in an exotic six-quark system, such as the d', could be weaker than in a single baryon. The weaker confinement hypothesis leads to a d' mass of M=2092 MeV and a d' radius of r=1.53 fm.
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"abstract": "The mass and wave function of a six-quark system with quantum numbers\nJ^P=0^-, T=0, called d\u0027, are calculated. We use a colored diquark-tetraquark\ncluster model for the six-quark wave function. A constituent quark model\nHamiltonian with a two-body confinement potential, and residual one-gluon,\none-pion, and one-sigma exchange interactions is used. The complications due to\nthe quark exchange interactions between tetraquark and diquark clusters (Pauli\nprinciple) are taken into account within the framework of the Resonating Group\nMethod. The calculated d\u0027 mass is some 350 MeV above the empirical value if the\nsame two-body confinement strength as in the nucleon and Delta is used. This\npaper also examines the validity of the usual assumption of a universal\ntwo-quark confinement strength. We propose that the effective two-body\nconfinement strength in an exotic six-quark system, such as the d\u0027, could be\nweaker than in a single baryon. The weaker confinement hypothesis leads to a d\u0027\nmass of M=2092 MeV and a d\u0027 radius of r=1.53 fm.",
"arxiv_id": "nucl-th/9803025",
"authors": [
"A. J. Buchmann",
"Georg Wagner",
"Amand Faessler"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.57.3340",
"journal_ref": "Phys.Rev.C57:3340-3355,1998",
"title": "The d\u0027-dibaryon in a colored cluster model",
"url": "https://arxiv.org/abs/nucl-th/9803025"
},
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