Nonleptonic three-body charmed baryon weak decays with H(15)

We study the nonleptonic three-body charmed baryon weak decays of BcₙPP^ under the SU(3)F flavor symmetry, where Bc denotes the anti-triplet charmed baryon, comprising (Ξ⁰c,-Ξ⁺c,Λ⁺c), and Bₙ and P(P^) represent octet baryon and pseudoscalar meson states, respectively. In addition to 12 parameters from the contributions of the color-antisymmetric part of the effective Hamiltonian, denoted as H(6̄), there are 4 parameters from the color-symmetric one, H(15), which were not included in the previous study. With 16 parameters in total and 28 experimental data points, we obtain the minimal χ² over degree of freedom of χ²/d.o.f=1.5, which is a great improvement comparing to that without H(15). With the better fitting values, we evaluate the branching ratios and up-down asymmetries of BcₙPP^, which present some interesting results such as B\,(Λ⁺c→(Ξ(1690)⁰→Σ⁺K⁻)\,K⁺)≡(1.5±0.4)×10⁻³ and potential $SU(3)$ breaking effects in Ξ⁺c→ pπ⁺K⁻ and Λ⁺c→ Σ⁺π⁻K⁺ to be verified by the experiments at BESIII, Belle-II and LHCb.