Two-body charmed baryon nonleptonic weak decays with decuplet baryon involving SU(3) breaking effects

TL;DR

This paper analyzes two-body decays of singly charmed baryons into decuplet baryons and pseudoscalar mesons, incorporating SU(3) flavor symmetry breaking effects, and fits experimental data with a minimal parameter set.

Contribution

It introduces a concise treatment of SU(3) breaking effects considering final-state mass dependence, achieving a good fit to experimental data with only four parameters.

Findings

Achieves a minimal chi-squared per degree of freedom of 1.46.

Predicts large SU(3) breaking effects in decay branching ratios.

Suggests the absence of strong phase and predicts positive decay asymmetry in specific channels.

Abstract

We study the singly charmed baryon two-body decays of $\mathbf{B}_c \rightarrow \mathbf{B}_D P$ under $SU(3)_{F}$ flavor symmetry, where ${\bf B}_{c}$ refers to anti-triplet singly charmed baryons, and ${\bf B}_{D}$ and $P$ denote decuplet baryons and pseudoscalar mesons, respectively. Compared to the literature, we adopt a concise and reasonable treatment of the $SU(3)$ flavor symmetry breaking, by considering the final-state mass dependence of partial waves. With 4 real parameters in total and 9 experimental data points, we achieve a minimal $\chi^2/\text{d.o.f.} $ value of $ 1.46$, providing a satisfactory explanation to the experiment results. We evaluate the branching ratios and Lee-Yang parameters suggesting the absence of the strong phase in $\mathbf{B}_c \rightarrow \mathbf{B}_D P$, along with an unusual positive decay asymmetry $\alpha\,(\Xi_{c}^{0}\rightarrow \Omega^{-}K^{+})$. The predicted results of large $SU(3)_{F}$ breaking effects in $\mathbf{B}_c \rightarrow \mathbf{B}_D P$ can be verified in the further research by the experiments at BESIII, Belle-II and LHCb.