Mass Spectra and Semileptonic Decays of Doubly Heavy $\Xi$ and $\Omega$ Baryons

Abstract

In the framework of a non-relativistic quark model, the mass spectra of the ground and excited states of doubly heavy $\Xi$ and $\Omega$ baryons are calculated. We estimate the mass difference between the $\Omega$ and corresponding $\Xi$ baryons as $M_{\Omega }-M_{\Xi }\simeq 178$ MeV for all the states containing $cc,bc$, or $bb$ quarks. A simple form of the universal Isgur-Wise function, as the transition form factor between the doubly heavy baryons, is introduced. Working in the close-to-zero recoil limit, we investigate the $b\to c$ semileptonic decay widths and branching fractions of the doubly heavy baryons. The obtained results are compared with other theoretical predictions.

11 pages, 4 figures and 5 tables