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September 27, 2025Journal of High Energy Physics3 citationsOpen Access

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

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CYChang YangXHXiao-Gang HeCLChia-Wei Liu

Key Points

  • Enhanced CP violation is predicted with values reaching up to 10^-3 in decays of charmed baryons.
  • A global fit to 51 measurements yields a χ^2/d.o.f. of 2.36, revealing significant deviations in branching fractions.
  • Analysis incorporates final-state rescattering effects, impacting decay amplitudes and branching ratios significantly.
  • The overall independent parameters were reduced from 35 to 19 under exact symmetry, with an increase to 27 with SU(3)F breaking.

Abstract

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 b=V₂₁^ Vₔ₁ 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 c⁰ ^-^+ Ξ c 0 → Ξ − π + and c^+ ^-^+^+ 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 c⁰ pK^- Ξ c 0 → p K − and c⁰ ^+^- Ξ c 0 → Σ + π −. Our analysis also finds that the branching ratio for c^+ ^+ Ξ c + → Λ π + is enhanced to (9. 7 ± 1. 2) × 10 − 4 due to significant cancellations.

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Cite This Study

Yang et al. (2025) studied this question.

synapsesocial.com/papers/68d7b3d4eebfec0fc52363ddhttps://doi.org/10.1007/jhep09(2025)193
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