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

Abstract: The semileptonic decays of the lowest-lying double-heavy baryons is treatedin a quark model. For the $\Xi {bb}$, hyperfine mixing in the spin wavefunction leaves the total rate for decay into the lowest lying daughter baryonsessentially 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 17suppression in the decay rate to the $\Xi {cc}^*$, and a factor of twosuppression 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 unmixedcase, and the total decay rate is decreased to about 40% of the decay rateobtained when mixing is ignored.

Author: W. Roberts, Muslema Pervin

Source: https://arxiv.org/