Generation of $SU(3)$ sum rule for charmed baryon decay

Abstract

Flavor $SU(3)$ symmetry is a powerful tool to analyze charmed baryon decays. In this work, we propose an approach to generate $SU(3)$ sum rules for the singly and doubly charmed baryon decays without writing the Wigner-Eckhart invariants explicitly. The $SU(3)$ sum rules are computed routinely in several master formulas. Hundreds of $SU(3)$ sum rules are found to serve as test of the flavor symmetry in the charmed baryon decays.

41 pages, Version published in JHEP

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Cited by in corpus (6)

• Topological amplitudes of charmed baryon decays in the $SU(3{)}_F$ limit
• Topological $SU(3{)}_f$ approach for two-body ${\Omega }_c$ weak decays
• Generation of isospin sum rules in heavy hadron weak decays
• Isospin sum rules in charmed baryon weak decays
• The nonleptonic decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{(\prime )+}{\pi }^{+}$ within the nonrelativistic quark model
• Topological diagrams of doubly charmed baryon decays in the $SU(3{)}_F$ limit