$SU(3)$ Flavor Symmetry for Weak Hadronic Decays of ${\mathbf{B}}_{bc}$ Baryons

Abstract

Baryons with a heavy c-quark or a heavy b-quark and also two c-quarks have been discovered. These states are expected in QCD and therefore provide a test for the theory. There should be double beauty baryons, and also an intriguing possibility that baryons ${\mathbf{B}}_{bc}$ with a c-quark, a b-quark. These states are yet to be discovered. The main decay modes of ${\mathbf{B}}_{bc}$ are expected to be weak processes from theoretical understanding of their mass spectrum. These decay modes can provide crucial information about these heavy baryons ${\mathbf{B}}_{bc}$. We analyze two body hadronic weak decays for ${\mathbf{B}}_{bc}$ using $SU(3)$ flavor symmetry. Any one of the $c$ and $b$ decays will induce ${\mathbf{B}}_{bc}$ to decay. We find that the Cabibbo allowed decays ${\mathbf{B}}_{bc}\to {\mathbf{B}}_b+M$ due to $c\to su\bar{d}$ can be crucial for exploration. The LHC may have the sensitivity to discover such decays. Other ${\mathbf{B}}_{bc}$ decays due to $b\to c{q}^{\prime }\bar{q}$ are sub-leading. Several relations among branching ratios are obtained which can be used to test $SU(3)$ flavor symmetry.

Comments: 12 pages, 4 figures, 5 tables, version to be published in PRD