Two-body charmed baryon nonleptonic weak decays with decuplet baryon involving SU(3)
Chao-Qiang Geng (School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou, 310024, China, Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, 410081, China)
; Chia-Wei Liu (Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai, 201210, China, Key Laboratory for Particle Astrophysics and Cosmology (MOE) & Shanghai Key Laboratory for Particle Physics and Cosmology, Tsung-Dao Lee Institute and School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 201210, China)
; Sheng-Lin Liu (School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou, 310024, China, University of Chinese Academy of Sciences, Beijing, 100190, China, Institute of Theoretical Physics, UCAS, Beijing, 100190, China)
We study the charmed baryon two-body decays of → $\textit{M}$ under the SU(3) flavor symmetry, where refers to anti-triplet singly charmed baryons, and and $\textit{M}$ denote decuplet baryons and pseudoscalar mesons, respectively. We consider the released energy dependence of both partial waves and phase space for the SU(3) symmetry breaking effects. With 4 real parameters in total and 8 experimental data points, we achieve a minimal $\textit{χ}$ /d.o.f. value of 0$\textit{.}$81, providing a satisfactory explanation to the experiment results. We evaluate the branching ratios and decay asymmetries with unusual positive decay asymmetry in → $\textit{M}$, indicating the nontrivial SU(3) -breaking effects. The results of the large SU(3) -breaking effects can be verified in the further research by the experiments at BESIII, Belle II and LHCb.