# Asymmetries of anti-triplet charmed baryon decays

## TL;DR

This paper systematically studies anti-triplet charmed baryon decays using SU(3)_F symmetry, revealing significant differences from previous models in decay asymmetries and aligning with recent experimental data.

## Contribution

It provides the first comprehensive SU(3)_F analysis of decay rates and asymmetries, including ${
m O}(ar{15})$ contributions, improving theoretical predictions.

## Key findings

- Up-down asymmetry for $ o o o$ is predicted to be 0.94, matching BESIII data.
- Significant differences in asymmetry predictions compared to previous literature.
- Analysis of $K_S^0-K_L^0$ asymmetries in various decay channels.

## Abstract

We analyze the decay processes of ${\bf B}_c \to {\bf B}_n M$ with the $SU(3)_F$ flavor symmetry and spin-dependent amplitudes, where ${\bf B}_c({\bf B}_n)$ and $M$ are the anti-triplet charmed (octet) baryon and nonet meson states, respectively. In the $SU(3)_F$ approach, it is the first time that the decay rates and up-down asymmetries are fully and systematically studied without neglecting the ${\cal O}(\overline{15})$ contributions of the color anti-symmetric parts in the effective Hamiltonian. Our results of the up-down asymmetries based on $SU(3)_F$ are quite different from the previous theoretical values in the literature. In particular, we find that the up-down symmetry of $ \alpha(\Lambda_c^+\to \Xi^0 K^+)_{SU(3)} = 0.94^{+0.06}_{-0.11}$, which is consistent with the recent experimental data of $0.77\pm0.78$ by the BESIII Collaboration, but predicted to be zero in the literature. We also examine the $K_S^0-K_L^0$ asymmetries between the decays of ${\bf B}_c \to {\bf B}_n K_S^0$ and ${\bf B}_c \to {\bf B}_n K_L^0$ with both Cabibbo-allowed and doubly Cabibbo-suppressed transitions.