Semileptonic Decays of Heavy Omega Baryons in a Quark Model
| dc.creator | Pervin, Muslema | |
| dc.creator | Roberts, W. | |
| dc.creator | Capstick, S. | |
| dc.date | 2006-03-24 | |
| dc.date.accessioned | 2026-07-07T12:00:12Z | |
| dc.date.available | 2026-07-07T12:00:12Z | |
| dc.description | The semileptonic decays of $Ω_c$ and $Ω_b$ are treated in the framework of a constituent quark model developed in a previous paper on the semileptonic decays of heavy $Λ$ baryons. Analytic results for the form factors for the decays to ground states and a number of excited states are evaluated. For $Ω_b$ to $Ω_c$ 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 $Ω_Q$ vary minimally within the models we use. We obtain an average value of (84$\pm$ 2%) for the fraction of $Ω_c\to Ξ^{(*)}$ decays to ground states, and 91% for the fraction of $Ω_c\to Ω^{(*)}$ decays to the ground state $Ω$. 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. | |
| dc.description | 52 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/nucl-th/0603061 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/0603061 | |
| dc.identifier | Phys.Rev.C74:025205,2006 | |
| dc.identifier | doi:10.1103/PhysRevC.74.025205 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/206793 | |
| dc.subject | Nuclear Theory | |
| dc.subject | High Energy Physics - Experiment | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Semileptonic Decays of Heavy Omega Baryons in a Quark Model | |
| dc.type | text |