$SU(3)$ 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

References in corpus (28)

• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Heavy Baryons in a Quark Model
• Baryons with two heavy quarks: Masses, production, decays, and detection
• Baryons with two heavy quarks
• Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ case
• Test Flavor SU(3) symmetry in Exclusive ${\Lambda }_c$ decays
• Weak Decays of Doubly Heavy Baryons: Multi-body Decay Channels
• Doubly Charmed Baryon Production in Hadronic Experiments
• Doubly heavy spin--1/2 baryon spectrum in QCD
• Charmed Baryon Weak Decays with SU(3) Flavor Symmetry
• Weak decays of doubly heavy baryons: the $1/2\to 3/2$ case
• The CP violating phase $\gamma$ from global fit of rare charmless hadronic B decays
• QCD Sum Rules Analysis of Weak Decays of Doubly-Heavy Baryons
• Doubly heavy baryons at LHC
• A global $SU(3)/U(3)$ flavor symmetry analysis for $B\to PP$ with $\eta -{\eta }^{\prime }$ Mixing
• Weak decays of doubly heavy baryons: the FCNC processes
• Doubly-Heavy Baryon Weak Decays: ${\Xi }_{bc}^0\to p{K}^{-}$ and ${\Xi }_{cc}^{+}\to {\Sigma }_c^{++}(2520)K^{-}$
• Hadronic Production of the Doubly Heavy Baryon ${\Xi }_{bc}$ at LHC
• Weak Decays of Triply Heavy Baryons
• A comprehensive analysis of weak transition form factors for doubly heavy baryons in the light front approach
• $B\to \eta ({\eta }^{\prime })K(\pi )$ in the Standard Model with Flavor Symmetry
• CP Violating Polarization Asymmetry in Charmless Two-Body Decays of Beauty Baryons
• Two-body weak decays of doubly charmed baryons
• Weak Decays of Doubly Heavy Baryons: W-Exchange
• Weak decays of doubly heavy baryons: decays to system of $\pi$ mesons
• Charmful two-body anti-triplet $b$-baryon decays
• Lifetimes of Doubly Heavy Baryons ${\mathcal{B}}_{bb}$ and ${\mathcal{B}}_{bc}$
• Displaced $B_c^{-}$ mesons as an inclusive signature of weakly decaying double beauty hadrons

Cited by in corpus (10)

• An updated review of the new hadron states
• Rescattering mechanism of weak decays of double-charm baryons
• Equivalent $SU(3{)}_f$ approaches for two-body anti-triplet charmed baryon decays
• Two-body charmed baryon decays involving decuplet baryon in the quark-diagram scheme
• 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: ${\mathcal{B}}_{bc}\to {\mathcal{B}}_{b}P$