Topological diagram analysis of ${\mathcal{B}}_{c\overline{3}}\to {\mathcal{B}}_{10}M$ decays in the $SU(3{)}_F$ limit and beyond

Abstract

Charm baryon decay plays an important role in studying non-perturbative baryonic transitions. Compared to other hadron multiplets, the flavor symmetry of baryon decuplet is more simple and attractive. In this work, we study the topological amplitudes of charmed baryon decays into decuplet baryon in the flavor symmetry and the linear $SU(3{)}_F$ breaking. It is found most of topological diagrams are suppressed by the Körner-Pati-Woo theorem in the $SU(3{)}_F$ limit. Only two independent amplitudes contributing to the ${\mathcal{B}}_{c\overline{3}}\to {\mathcal{B}}_{10}M$ decays, with one dominating the branching fractions. The Lee-Yang parameters of all ${\mathcal{B}}_{c\overline{3}}\to {\mathcal{B}}_{10}M$ modes are the same in the $SU(3{)}_F$ limit, and there are only four possible values for the CP asymmetries. After including the first-order $SU(3{)}_F$ breaking effects, the ${\Xi }_c^{+}\to {\Sigma }^{\ast +}{\overline{K}}^0$ and ${\Xi }_c^{+}\to {\Xi }^{\ast 0}{\pi }^{+}$ decays have non-zero branching fractions. The number of free parameter contributing to the ${\mathcal{B}}_{c\overline{3}}\to {\mathcal{B}}_{10}M$ decays in the linear $SU(3{)}_F$ breaking is smaller than the available data. The $SU(3{)}_F$ breaking part of the quark loop diagram can be extracted by global fitting of branching fractions, which could help us understand the CP violation in charm sector. Additionally, some new isospin equations are proposed to test the Körner-Pati-Woo theorem.

arXiv comment11 pages, 2 figures

References in corpus (12)

• Weak Decays Beyond Leading Logarithms
• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• QCD factorization for B->PP and B->PV decays
• Observation of $CP$ violation in charm decays
• SU(3)_flavor analysis of two-body weak decays of charmed baryons
• Analysis of Two-Body Decays of Charmed Baryons Using the Quark-Diagram Scheme
• Asymmetries of anti-triplet charmed baryon decays
• Charmed Baryon Weak Decays with Decuplet Baryon and SU(3) Flavor Symmetry
• Charmed baryon decays in $SU(3{)}_F$ symmetry
• Two-body charmed baryon decays involving decuplet baryon in the quark-diagram scheme
• Topological tensor invariants and the current algebra approach: Analysis of 196 nonleptonic two-body decays of single and double charm baryons -- a review

Cited by in corpus (3)

• Final-state rescattering mechanism of charmed baryon decays
• Topological amplitudes of bottom baryon decays in the $SU(3{)}_F$ limit
• Topological diagrams of doubly charmed baryon decays in the $SU(3{)}_F$ limit