Weak decays of bottom-charm baryons: ${\mathcal{B}}_{bc}\to {\mathcal{B}}_{b}P$

Abstract

After the discovery of the double-charm baryon ${\Xi }_{cc}^{++}$ by LHCb, one of the most important topics is to search for the bottom-charm baryons which contain a $b$ quark, a $c$ quark and a light quark. In this work, we study the two-body non-leptonic weak decays of a bottom-charm baryon into a spin-$1/2$ bottomed baryon and a light pseudoscalar meson with the short-distance contributions calculated under the factorization hypothesis and the long-distance contributions considering the final-state-interaction effects. The branching fractions of all fifty-seven decay channels are estimated. The results indicate that ${\Xi }_{bc}^{+}\to {\Xi }_b^0{\pi }^{+}$, ${\Xi }_{bc}^0\to {\Xi }_b^{-}{\pi }^{+}$ and ${\Omega }_{bc}^0\to {\Omega }_b^{-}{\pi }^{+}$ decay modes have relatively large decay rates and thus could be used to experimentally search for the bottom-charm baryons. The topological diagrams and the SU(3) symmetry of bottom-charm baryon decays are discussed.

Comments: 25 pages, 3 figures, 8 tables. Version for publication in EPJC