Charmed Baryon Weak Decays with Decuplet Baryon and SU(3) Flavor Symmetry

Abstract

We study the branching ratios and up-down asymmetries in the charmed baryon weak decays of ${\mathbf{B}}_c\to {\mathbf{B}}_{D}M$ with ${\mathbf{B}}_{c(D)}$ anti-triplet charmed (decuplet) baryon and $M$ pseudo-scalar meson states based on the flavor symmetry of $SU(3{)}_F$. We propose equal and physical-mass schemes for the hadronic states to deal with the large variations of the decuplet baryon momenta in the decays in order to fit with the current experimental data. We find that our fitting results of $\mathcal{B}({\mathbf{B}}_c\to {\mathbf{B}}_{D}M)$ are consistent with the current experimental data in both schemes, while the up-down asymmetries in all decays are found to be sizable, consistent with the current experimental data, but different from zero predicted in the literature. We also examine the processes of ${\Xi }_c^0\to {\Sigma }^{\prime 0}{K}_S/K_L$ and derive the asymmetry between the $K_L/K_S$ modes being a constant.

arXiv comment13 pages, no figure, revised version accepted by PRD

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• Partial wave analysis of the charmed baryon hadronic decay ${\Lambda }_c^{+}\to \Lambda {\pi }^{+}{\pi }^0$
• Observations of the Cabibbo-Suppressed decays ${\Lambda }_c^{+}\to n{\pi }^{+}{\pi }^0$, $n{\pi }^{+}{\pi }^{-}{\pi }^{+}$ and the Cabibbo-Favored decay ${\Lambda }_c^{+}\to n{K}^{-}{\pi }^{+}{\pi }^{+}$
• Beauty baryon non-leptonic decays into decuplet baryons and $CP$-asymmetries based on $SU(3)$-Flavor analysis
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• Generation of $SU(3)$ sum rule for charmed baryon decay
• Nonleptonic decays of ${\Xi }_{cc}\to {\Xi }_c\pi$ with ${\Xi }_c-{\Xi }_c^{\prime }$ mixing
• Measurements of branching fractions and asymmetry parameters of ${\Xi }_c^0\to \Lambda {\bar{K}}^{\ast 0}$, ${\Xi }_c^0\to {\Sigma }^0{\bar{K}}^{\ast 0}$, and ${\Xi }_c^0\to {\Sigma }^{+}{K}^{\ast -}$ decays at Belle
• Generation of isospin sum rules in heavy hadron weak decays
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• Topological diagram analysis of ${\mathcal{B}}_{c\overline{3}}\to {\mathcal{B}}_{10}M$ decays in the $SU(3{)}_F$ limit and beyond
• Weak decays of bottom-charm baryons: ${\mathcal{B}}_{bc}\to {\mathcal{B}}_{b}P$
• Revisiting heavy-flavor conserving weak decays of charmed baryons within the nonrelativistic quark model
• Pursuit of new physics within the ${\Lambda }_c\to \Delta K$ decays
• Improved measurement of absolute branching fraction of the inclusive decay ${\Lambda }_c^{+}\to K_S^{0}X$
• Puzzles in charmed baryon semileptonic decays with $SU(3{)}_F$ flavor symmetry and lattice inputs