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We explore the breaking effects of the SU(3) flavor symmetry in the singly Cabibbo-suppressed anti-triplet charmed baryon decays of Bc→ Bₙ M , with Bc=(Ξ c⁰,Ξ c⁺,Λ c⁺) and Bₙ(M) the baryon (pseudo-scalar) octets. We find that these breaking effects can be used to account for the experimental data on the decay branching ratios of B(Λ c⁺→ Σ ⁰ K⁺,Λ ⁰ K⁺) and R'K/π=B(Ξ ⁰c → Ξ ⁻ K⁺) / B(Ξ ⁰c → Ξ ⁻ π ⁺) . In addition, we obtain that B(Ξ c⁰ → Ξ ⁻ K⁺,Σ ⁻ π ⁺)=(4.6 ± 1.7,12.8 ± 3.1)× 10⁻⁴ , B(Ξ c⁰→ pK⁻,Σ ⁺π ⁻)=(3.0 ± 1.0, 5.2 ± 1.6)× 10⁻⁴ and B(Ξ c⁺→ Σ ⁰⁽⁺⁾ π ⁺⁽⁰⁾)=(10.3 ± 1.7)× 10⁻⁴ , which all receive significant contributions from the breaking effects, and can be tested by the BESIII and LHCb experiments.
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