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

TL;DR

This paper introduces a new method to generate $SU(3)$ sum rules for charmed baryon decays, enabling efficient testing of flavor symmetry without explicit invariant calculations.

Contribution

A novel approach to generate $SU(3)$ sum rules automatically for charmed baryon decays, simplifying symmetry analysis.

Findings

Hundreds of $SU(3)$ sum rules identified

Method facilitates testing of flavor symmetry

Routine computation of sum rules in master formulas

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.