Abstract
Baryons with three heavy quarks are the last missing pieces of the lowest-lying baryon multiplets in the quark model after the discovery of doubly heavy baryons. In this work, we study nonleptonic weak decays of triply heavy baryons Omega _{ccc}^{++}, Omega _{bbb}^{-}, Omega _{ccb}^{+}, and Omega _{cbb}^{0}. Decay amplitudes for various processes have been parametrized in terms of the SU(3) irreducible nonperturbative amplitudes. A number of relations for the partial decay widths can be deduced from these results that can be examined in future. Some decay channels and cascade decay modes which likely to be used to reconstruct the triply heavy baryons have been also listed.
Highlights
Heavy baryons which consist of three heavy c or b quarks are of great theoretical interests since they refrain from light quark contaminations
Previous studies on triply heavy baryons mainly concentrated on spectroscopy, relevant theoretical tools such as nonrelativistic constituent quark model (NRCQM) [1], potential nonrelativistic QCD
The triply heavy baryons are of considerable theoretical interests, since they are free of light quark contamination and can help to probe the interplay between perturbative and nonperturbative QCD [59,60]
Summary
Heavy baryons which consist of three heavy c or b quarks are of great theoretical interests since they refrain from light quark contaminations. Tree operators of charm-quark decays into light quarks are categorized into three groups: Cabibboallowed, singly Cabibbo-suppressed, and doubly Cabibbosuppressed, c → sdu , c → udd/ss , c → dsu. These tree operators transform under the flavor SU(3) symmetry as 3 ⊗ 3 ̄ ⊗ 3 = 3 ⊕ 3 ⊕ 6 ̄ ⊕ 15. To depict the processes of various decay modes under the frame of flavor SU(3) analysis, we need to construct the hadron-level effective Hamiltonian in addition to the representations for initial and final states which have been listed above.
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