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. The 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 have been measured in the future, some of these relations may provide hints for exploration of new decay modes.
Highlights
The existence of doubly heavy baryons is predicted in the quark model, but the experimental search for doubly heavy baryons has been a while [1–6]
M ++ = (3621.40 ± 0.72 ± 0.27 ± 0.14) MeV. This observation will make a great impact on the hadron spectroscopy and it will trigger more interests in this research field [8,9]
Theoretical studies on weak decays of doubly heavy baryons will be of great importance and are strongly required [10–21]
Summary
The existence of doubly heavy baryons is predicted in the quark model, but the experimental search for doubly heavy baryons has been a while [1–6]. This observation will make a great impact on the hadron spectroscopy and it will trigger more interests in this research field [8,9] After this observation, we anticipate more experimental investigations of decays of doubly heavy baryons. The flavor SU(3) symmetry is an useful tool [37–71]. In this paper we will use the flavor SU(3) symmetry and analyze various decays of doubly heavy baryons. These baryons can form an SU(3) triplet which are expressed as:. The above two SU(3) triplets are applicable to the bottom mesons
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