$SU(3)$ 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.

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

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Cited by in corpus (9)

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• Studying ${\mathcal{B}}_1({\frac{1}{2}}^{+})\to {\mathcal{B}}_2({\frac{1}{2}}^{+}){\ell }^{+}{\ell }^{-}$ Semi-leptonic Weak Baryon Decays with the SU(3) Flavor Symmetry
• Cabibbo-favored ${\Lambda }_c^{+}\to \Lambda a_0(980{)}^{+}$ decay in the final state interaction
• Study of two-body doubly charmful baryonic $B$ decays with $SU(3)$ flavor symmetry
• Strong decays of the low-lying doubly bottom baryons
• Topological $SU(3{)}_f$ approach for two-body ${\Omega }_c$ weak decays
• Weak decays of bottom-charm baryons: ${\mathcal{B}}_{bc}\to {\mathcal{B}}_{b}P$