Static properties and Semileptonic transitions of lowest-lying double heavy baryons

The static properties and semileptonic decays of ground-state doubly heavy baryons are studied working in the framework of a non-relativistic quark model. Using a phenomenological potential model, we calculate the ground-state masses and magnetic moments of doubly heavy $\mathrm{\Omega }$ and $\mathrm{\Xi }$ baryons. In the heavy quark limit, we introduce a simple form of the universal Isgur-Wise function used as the transition form factor and then investigate the exclusive $b\to c$ semileptonic decay widths and branching ratios for $\frac{1}{2}\to \frac{1}{2}$ baryon transitions. Our obtained results are in agreement with other theoretical predictions.