Hyperfine Mixing and the Semileptonic Decays of Double-Heavy Baryons in a Quark Model

Details Hyperfine Mixing and the Semileptonic Decays of Double-Heavy Baryons in a Quark Model Hyperfine Mixing and the Semileptonic Decays of Double-Heavy Baryons in a Quark Model

2008-03-23

arxiv.org/abs/0803.3350v1

Int.J.Mod.Phys.A24:2401-2413,2009

Physics

Nuclear Physics

Nuclear Theory

7 pages

Scientific paper

10.1142/S0217751X09043407

The semileptonic decays of the lowest-lying double-heavy baryons is treated in a quark model. For the $\Xi_{bb}$, hyperfine mixing in the spin wave function leaves the total rate for decay into the lowest lying daughter baryons essentially unchanged, but changes the relative rates into the $\Xi_{bc}$ and $\Xi_{bc}^\prime$. The same pattern is obtained in the decays of the $\Omega_{bb}$. For the $\Xi_{bc}$, this mixing leads to factor of about 17 suppression in the decay rate to the $\Xi_{cc}^*$, and a factor of two suppression in the total decay rate. For the $\Omega_{bc}$, the decay to the $\Omega_{cc}^*$ is suppressed by a factor of more than 30 from the unmixed case, and the total decay rate is decreased to about 40% of the decay rate obtained when mixing is ignored.

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