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

We study the nonleptonic three-body charmed baryon weak decays of B c → B n P P ′ under the S U ( 3 ) F flavor symmetry, where B c denotes the antitriplet charmed baryon, comprising ( Ξ c 0 , − Ξ c + , Λ c + ) , and B n 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 ( 6 ¯ ) , 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 χ 2 over degree of freedom of χ 2 / 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 B c → B n P P ′ , which present some interesting results such as B ( Λ c + → ( Ξ ( 1690 ) 0 → Σ + K − ) K + ) ≡ ( 1.5 ± 0.4 ) × 10 − 3 and potential S U ( 3 ) breaking effects in Ξ c + → p π + K − and Λ c + → Σ + π − K + to be verified by the experiments at BESIII, Belle-II, and LHCb.