Charmed baryon decays: SU(3)F breaking and CP violation

A bstract We present a comprehensive study of anti-triplet charmed baryon decays into octet baryons and pseudoscalar mesons using the SU(3) F flavor symmetry framework. By decomposing the flavor structure, all decay amplitudes are parametrized with a minimal set of irreducible amplitudes, and the Körner-Pati-Woo theorem further reduces the number of independent parameters from the original 35 to 19 under exact symmetry when small terms proportional to λb=VcbVub λ b = V cb ∗ V ub are neglected. The independent number becomes 27 with leading SU(3) F breaking effects. A global fit to 51 experimental measurements yields a χ 2 /d.o.f. of 2.36 and provides precise values for the decay amplitudes. Notable discrepancies are observed in the fitted branching fractions of Ξc⁰→ Ξ⁻π⁺ Ξ c 0 → Ξ − π + and Ξc⁺→ Ξ⁻π⁺π⁺ Ξ c + → Ξ − π + π + , which exceed current measurements by more than 2 σ . Incorporating final-state rescattering effects to recover the main effects of terms proportional to λ b , we predict enhanced CP violation, with A CP reaching up to 10 − 3 in golden channels such as Ξc⁰→ pK⁻ Ξ c 0 → p K − and Ξc⁰→ Σ⁺π⁻ Ξ c 0 → Σ + π − . Our analysis also finds that the branching ratio for Ξc⁺→ Λ π⁺ Ξ c + → Λ π + is enhanced to (9 . 7 ± 1 . 2) × 10 − 4 due to significant cancellations.