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

## TL;DR

This paper analyzes charmed baryon weak decays involving decuplet baryons and SU(3) flavor symmetry, proposing schemes to fit experimental data and predicting sizable asymmetries in decay processes.

## Contribution

It introduces equal and physical-mass schemes for hadronic states to accurately model decay momenta and fits experimental data, providing new insights into decay asymmetries.

## Key findings

- Fitted branching ratios are consistent with experimental data.
- Predicted sizable up-down asymmetries in decay processes.
- Derived constant asymmetry between $K_L/K_S$ modes in specific decays.

## Abstract

We study the branching ratios and up-down asymmetries in the charmed baryon weak decays of ${\bf B}_c\to {\bf B}_DM$ with ${\bf B}_{c(D)}$ 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 ${\cal B}({\bf B}_c\to {\bf B}_DM) $ 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.