<p>We present a comprehensive study of anti-triplet charmed baryon decays into octet baryons and pseudoscalar mesons using the SU(3)<sub><i>F</i></sub> 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 <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27273_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="83" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msub> <mi>λ</mi> <mi>b</mi> </msub> <mo>=</mo> <msubsup> <mi>V</mi> <mi mathvariant="italic">cb</mi> <mo>∗</mo> </msubsup> <msub> <mi>V</mi> <mi mathvariant="italic">ub</mi> </msub> </math></EquationSource> <EquationSource Format="TEX">\( {\lambda}_b={V}_{cb}^{\ast }{V}_{ub} \)</EquationSource> </InlineEquation> are neglected. The independent number becomes 27 with leading SU(3)<sub><i>F</i></sub> breaking effects. A global fit to 51 experimental measurements yields a <i>χ</i><sup>2</sup>/d.o.f. of 2.36 and provides precise values for the decay amplitudes. Notable discrepancies are observed in the fitted branching fractions of <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27273_Article_IEq2.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="85" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi mathvariant="normal">Ξ</mi> <mi>c</mi> <mn>0</mn> </msubsup> <mo>→</mo> <msup> <mi mathvariant="normal">Ξ</mi> <mo>−</mo> </msup> <msup> <mi>π</mi> <mo>+</mo> </msup> </math></EquationSource> <EquationSource Format="TEX">\( {\Xi}_c^0\to {\Xi}^{-}{\pi}^{+} \)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27273_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="108" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi mathvariant="normal">Ξ</mi> <mi>c</mi> <mo>+</mo> </msubsup> <mo>→</mo> <msup> <mi mathvariant="normal">Ξ</mi> <mo>−</mo> </msup> <msup> <mi>π</mi> <mo>+</mo> </msup> <msup> <mi>π</mi> <mo>+</mo> </msup> </math></EquationSource> <EquationSource Format="TEX">\( {\Xi}_c^{+}\to {\Xi}^{-}{\pi}^{+}{\pi}^{+} \)</EquationSource> </InlineEquation>, which exceed current measurements by more than 2<i>σ</i>. Incorporating final-state rescattering effects to recover the main effects of terms proportional to <i>λ</i><sub><i>b</i></sub>, we predict enhanced CP violation, with <i>A</i><sub>CP</sub> reaching up to 10<sup><i>−</i>3</sup> in golden channels such as <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27273_Article_IEq4.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="81" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi mathvariant="normal">Ξ</mi> <mi>c</mi> <mn>0</mn> </msubsup> <mo>→</mo> <mi>p</mi> <msup> <mi>K</mi> <mo>−</mo> </msup> </math></EquationSource> <EquationSource Format="TEX">\( {\Xi}_c^0\to p{K}^{-} \)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27273_Article_IEq5.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="88" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi mathvariant="normal">Ξ</mi> <mi>c</mi> <mn>0</mn> </msubsup> <mo>→</mo> <msup> <mi mathvariant="normal">Σ</mi> <mo>+</mo> </msup> <msup> <mi>π</mi> <mo>−</mo> </msup> </math></EquationSource> <EquationSource Format="TEX">\( {\Xi}_c^0\to {\Sigma}^{+}{\pi}^{-} \)</EquationSource> </InlineEquation>. Our analysis also finds that the branching ratio for <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27273_Article_IEq6.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="79" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi mathvariant="normal">Ξ</mi> <mi>c</mi> <mo>+</mo> </msubsup> <mo>→</mo> <mi mathvariant="normal">Λ</mi> <msup> <mi>π</mi> <mo>+</mo> </msup> </math></EquationSource> <EquationSource Format="TEX">\( {\Xi}_c^{+}\to \Lambda {\pi}^{+} \)</EquationSource> </InlineEquation> is enhanced to (9<i>.</i>7 ± 1<i>.</i>2) × 10<sup><i>−</i>4</sup> due to significant cancellations.</p>

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

  • Chang Yang,
  • Xiao-Gang He,
  • Chia-Wei Liu

摘要

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 λ b = V cb V ub \( {\lambda}_b={V}_{cb}^{\ast }{V}_{ub} \) are neglected. The independent number becomes 27 with leading SU(3)F breaking effects. A global fit to 51 experimental measurements yields a χ2/d.o.f. of 2.36 and provides precise values for the decay amplitudes. Notable discrepancies are observed in the fitted branching fractions of Ξ c 0 Ξ π + \( {\Xi}_c^0\to {\Xi}^{-}{\pi}^{+} \) and Ξ c + Ξ π + π + \( {\Xi}_c^{+}\to {\Xi}^{-}{\pi}^{+}{\pi}^{+} \) , which exceed current measurements by more than 2σ. Incorporating final-state rescattering effects to recover the main effects of terms proportional to λb, we predict enhanced CP violation, with ACP reaching up to 103 in golden channels such as Ξ c 0 p K \( {\Xi}_c^0\to p{K}^{-} \) and Ξ c 0 Σ + π \( {\Xi}_c^0\to {\Sigma}^{+}{\pi}^{-} \) . Our analysis also finds that the branching ratio for Ξ c + Λ π + \( {\Xi}_c^{+}\to \Lambda {\pi}^{+} \) is enhanced to (9.7 ± 1.2) × 104 due to significant cancellations.