Charmed baryon decays in $SU(3)_F$ symmetry

TL;DR

This paper analyzes charmed baryon two-body non-leptonic decays using $SU(3)_F$ symmetry, providing amplitude relations, testing them with data, and exploring symmetry breaking effects.

Contribution

It offers a comprehensive classification of decay amplitude relations based on flavor symmetries and tests some predictions with experimental data.

Findings

Hundreds of amplitude relations classified by $I$-, $U$-, and $V$-spin symmetries.

Some relations are confirmed or used to predict branching fractions.

U-spin breaking effects are observed in specific decay modes.

Abstract

In the recent years, fruitful results on charmed baryons are obtained by BESIII, Belle and LHCb. We investigate the two-body non-leptonic decays of charmed baryons in the flavor $SU(3)$ symmetry. Hundreds of amplitude relations are clearly provided, and are classified according to the $I$-, $U$- and $V$-spin symmetries. Among them, some amplitude relations are tested by the experimental data, or used to predict the branching fractions based on the exact flavor symmetry without any other approximation. Some relations of $K^0_S-K^0_L$ asymmetries and $CP$ asymmetries are obtained under the $U$-spin symmetry in the modes of charmed baryon decaying into neutral kaons. Besides, the $U$-spin breaking effect is explored in the $\Lambda_c^+\to \Sigma^+K^{*0}$ and $\Xi_c^+\to p\bar{K}^{*0}$ modes.