dorsal/arxiv
View SchemaStructure and decay width of \Theta^+ in a one-gluon exchange model
| Authors | H. Matsumura, Y. Suzuki |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0601011 |
| URL | https://arxiv.org/abs/nucl-th/0601011 |
| DOI | 10.1016/j.nuclphysa.2006.03.006 |
| Journal | Nucl.Phys.A772:55-80,2006 |
Abstract
The mass and decay width of the $\Theta^+(1540)$ with isospin 0 are investigated in a constituent quark model comprising $uudd\bar{s}$ quarks. The resonance state for the $\Theta^+$ is identified as a stable solution in correlated basis calculations. With the use of a one-gluon exchange quark-quark interaction, the mass is calculated to be larger than 2 GeV, increasing in order of the spin-parity, ${1/2}^-, {3/2}^-$ and ${1/2}^+ ({3/2}^+)$, and only the ${3/2}^-$ state has a small width to the $nK^{*+}$ decay. If the calculated mass is shifted to around 100 MeV above the $N+K$ threshold, the $\Theta^+(1540)$ is possibly ${1/2}^+ ({3/2}^+)$ or ${3/2}^-$, though in the latter case it cannot decay to the $nK^{+}$ channel. In addition it is conjectured that other pentaquark state with different spin-parity exists below the $\Theta^+(1540)$. The structure of the $\Theta^+$ is discussed through the densities and two-particle correlation functions of the quarks and through the wave function decomposition to a baryon-meson model and a diquark-pair model.
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"abstract": "The mass and decay width of the $\\Theta^+(1540)$ with isospin 0 are\ninvestigated in a constituent quark model comprising $uudd\\bar{s}$ quarks. The\nresonance state for the $\\Theta^+$ is identified as a stable solution in\ncorrelated basis calculations. With the use of a one-gluon exchange quark-quark\ninteraction, the mass is calculated to be larger than 2 GeV, increasing in\norder of the spin-parity, ${1/2}^-, {3/2}^-$ and ${1/2}^+ ({3/2}^+)$, and only\nthe ${3/2}^-$ state has a small width to the $nK^{*+}$ decay. If the calculated\nmass is shifted to around 100 MeV above the $N+K$ threshold, the\n$\\Theta^+(1540)$ is possibly ${1/2}^+ ({3/2}^+)$ or ${3/2}^-$, though in the\nlatter case it cannot decay to the $nK^{+}$ channel. In addition it is\nconjectured that other pentaquark state with different spin-parity exists below\nthe $\\Theta^+(1540)$. The structure of the $\\Theta^+$ is discussed through the\ndensities and two-particle correlation functions of the quarks and through the\nwave function decomposition to a baryon-meson model and a diquark-pair model.",
"arxiv_id": "nucl-th/0601011",
"authors": [
"H. Matsumura",
"Y. Suzuki"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.nuclphysa.2006.03.006",
"journal_ref": "Nucl.Phys.A772:55-80,2006",
"title": "Structure and decay width of \\Theta^+ in a one-gluon exchange model",
"url": "https://arxiv.org/abs/nucl-th/0601011"
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