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

Tien-Hsueh Tsai^1*

¹Department of Physics, National Tsing Hua University, Hsinchu, Taiwan

* Presenter:Tien-Hsueh Tsai, email:david830916@gmail.com

We study the three-body anti-triplet B_c→B_nMM′ decays with the SU(3) flavor (SU(3)_f) symmetry, where B_c denotes the charmed baryon anti-triplet of (Ξ_c⁰,-Ξ_c⁺,Λ_c⁺), and B_n and M(M′) represent baryon and meson octets, respectively. By considering only the S-wave MM′-pair contributions, the decays of B_c→B_nMM′ 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 χ²/d.o.f = 2.8 for the fit. Consequently, we find that the triangle sum rule of A(Λ_c⁺→n{\bar K}⁰π⁺) - A(Λ_c⁺→pK^-π⁺) - √2A(Λ⁺_c→p{\bar K}⁰π⁰) = 0 given by the isospin symmetry holds under SU(3)_f, where A stands for the decay amplitude. In addition, we predict that B(Λ⁺_c→nπ⁺{\bar K}⁰) = (0.9 ± 0.8)×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→B_nMM′ decays, we compute the branching fractions with the SU(3)_f amplitudes to be compared to the BESIII and LHCb measurements in the future.

Keywords: standard model, flavor physics, hadronic physics