Weak Decays of Doubly Heavy Baryons: SU(3) Analysis

Abstract

Motivated by the recent LHCb observation of doubly-charmed baryon ${\Xi }_{cc}^{++}$ in the ${\Lambda }_c^{+}{K}^{-}{\pi }^{+}{\pi }^{+}$ final state, we analyze the weak decays of doubly heavy baryons ${\Xi }_{cc}$, ${\Omega }_{cc}$, ${\Xi }_{bc}$, ${\Omega }_{bc}$, ${\Xi }_{bb}$ and ${\Omega }_{bb}$ under the flavor SU(3) symmetry. Decay amplitudes for various semileptonic and nonleptonic decays are parametrized in terms of a few SU(3) irreducible amplitudes. We find a number of relations or sum rules between decay widths and CP asymmetries, which can be examined in future measurements at experimental facilities like LHC, Belle II and CEPC. Moreover once a few decay branching fractions are measured in future, some of these relations may provide hints for exploration of new decay modes.

28 pages, 12 figures, 22 tables

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Cited by in corpus (8)

• Weak Decays of Doubly Heavy Baryons: Multi-body Decay Channels
• Mass spectra and radiative transitions of doubly heavy baryons in a relativized quark model
• Strong and radiative decays of the doubly charmed baryons
• Prediction of exotic doubly charmed baryons within chiral effective field theory
• Estimates of W-exchange contributions to ${\Xi }_{cc}$ decays
• Light-Cone Sum Rules Analysis of ${\Xi }_{Q{Q}^{\prime }q}\to {\Lambda }_{Q^{\prime }}$ Weak Decays
• Sum rules for $CP$ asymmetries of charmed baryon decays in the $SU(3{)}_F$ limit
• Weak Decays of Stable Open-bottom Tetraquark by SU(3) Symmetry Analysis