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

Abstract

We study the singly charmed baryon two-body decays of ${\mathbf{B}}_c\to {\mathbf{B}}_{D}P$ under $SU(3{)}_F$ flavor symmetry, where ${\mathbf{B}}_c$ refers to anti-triplet singly charmed baryons, and ${\mathbf{B}}_D$ 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 ${\mathbf{B}}_c\to {\mathbf{B}}_{D}P$, along with an unusual positive decay asymmetry $\alpha ({\Xi }_c^0\to {\Omega }^{-}{K}^{+})$. The predicted results of large $SU(3{)}_F$ breaking effects in ${\mathbf{B}}_c\to {\mathbf{B}}_{D}P$ can be verified in the further research by the experiments at BESIII, Belle-II and LHCb.

Comments: 15 pages, 1 figure, 5 tables