Three-body charmed baryon decays with SU(3) flavor symmetry

We study the three-body antitriplet B-c -> BnMM' decays with the SU(3) flavor [SU(3)(f)] symmetry, where B-c denotes the charmed baryon antitriplet of (Xi(o)(c), -Xi(+)(c); Lambda(+)(c)), and B-n and M(M') represent baryon and meson octets, respectively. By considering only the S-wave MM'-pair contributions without resonance effects, the decays of B-c -> BnMM' can be decomposed into irreducible forms with 11 parameters under SU(3)(f), which are fitted by the 14 existing data, resulting in a reasonable value of chi(2)/d.o.f. = 2.8 for the fit. Consequently, we find that the triangle sum rule of A(Lambda(+)(c) -> n (K) over bar (0)pi(+)) - A(Lambda(+)(c) -> pK(-)pi(+)) - root 2A(Lambda(+)(c) -> p (K) over bar (0)pi(0) ) = 0 given by the isospin symmetry holds under SU(3)(f), where A stands for the decay amplitude. In addition, we predict that B(Lambda(+)(c) -> n pi(+)(K) over bar (0)) = (0.9 +/- 0.8) x 10(-2), which is 3-4 times smaller than the BESIII observation, indicating the existence of the resonant states. For the to-be-observed B-c -> BnMM' decays, we compute the branching fractions with the SU(3)(f) amplitudes to be compared to the BESIII and LHCb measurements in the future.