dorsal/arxiv
View SchemaSemileptonic Decays of Heavy Omega Baryons in a Quark Model
| Authors | Muslema Pervin, W. Roberts, S. Capstick |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0603061 |
| URL | https://arxiv.org/abs/nucl-th/0603061 |
| DOI | 10.1103/PhysRevC.74.025205 |
| Journal | Phys.Rev.C74:025205,2006 |
Abstract
The semileptonic decays of $\Omega_c$ and $\Omega_b$ are treated in the framework of a constituent quark model developed in a previous paper on the semileptonic decays of heavy $\Lambda$ baryons. Analytic results for the form factors for the decays to ground states and a number of excited states are evaluated. For $\Omega_b$ to $\Omega_c$ the form factors obtained are shown to satisfy the relations predicted at leading order in the heavy-quark effective theory at the non-recoil point. A modified fit of nonrelativistic and semirelativistic Hamiltonians generates configuration-mixed baryon wave functions from the known masses and the measured $\lcle$ rate, with wave functions expanded in both harmonic oscillator and Sturmian bases. Decay rates of $\ob$ to pairs of ground and excited $\omc$ states related by heavy-quark symmetry calculated using these configuration-mixed wave functions are in the ratios expected from heavy-quark effective theory, to a good approximation. Our predictions for the semileptonic elastic branching fraction of $\Omega_Q$ vary minimally within the models we use. We obtain an average value of (84$\pm$ 2%) for the fraction of $\Omega_c\to \Xi^{(*)}$ decays to ground states, and 91% for the fraction of $\Omega_c\to \Omega^{(*)}$ decays to the ground state $\Omega$. The elastic fraction of $\ob \to \omc$ ranges from about 50% calculated with the two harmonic-oscillator models, to about 67% calculated with the two Sturmian models.
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"abstract": "The semileptonic decays of $\\Omega_c$ and $\\Omega_b$ are treated in the\nframework of a constituent quark model developed in a previous paper on the\nsemileptonic decays of heavy $\\Lambda$ baryons. Analytic results for the form\nfactors for the decays to ground states and a number of excited states are\nevaluated. For $\\Omega_b$ to $\\Omega_c$ the form factors obtained are shown to\nsatisfy the relations predicted at leading order in the heavy-quark effective\ntheory at the non-recoil point. A modified fit of nonrelativistic and\nsemirelativistic Hamiltonians generates configuration-mixed baryon wave\nfunctions from the known masses and the measured $\\lcle$ rate, with wave\nfunctions expanded in both harmonic oscillator and Sturmian bases. Decay rates\nof $\\ob$ to pairs of ground and excited $\\omc$ states related by heavy-quark\nsymmetry calculated using these configuration-mixed wave functions are in the\nratios expected from heavy-quark effective theory, to a good approximation. Our\npredictions for the semileptonic elastic branching fraction of $\\Omega_Q$ vary\nminimally within the models we use. We obtain an average value of (84$\\pm$ 2%)\nfor the fraction of $\\Omega_c\\to \\Xi^{(*)}$ decays to ground states, and 91%\nfor the fraction of $\\Omega_c\\to \\Omega^{(*)}$ decays to the ground state\n$\\Omega$. The elastic fraction of $\\ob \\to \\omc$ ranges from about 50%\ncalculated with the two harmonic-oscillator models, to about 67% calculated\nwith the two Sturmian models.",
"arxiv_id": "nucl-th/0603061",
"authors": [
"Muslema Pervin",
"W. Roberts",
"S. Capstick"
],
"categories": [
"nucl-th",
"hep-ex",
"hep-ph"
],
"doi": "10.1103/PhysRevC.74.025205",
"journal_ref": "Phys.Rev.C74:025205,2006",
"title": "Semileptonic Decays of Heavy Omega Baryons in a Quark Model",
"url": "https://arxiv.org/abs/nucl-th/0603061"
},
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