Weak decays of $$B_c$$ Bc into two hadrons under flavor SU(3) symmetry

Abstract

Abstract A large number of $$B_c$$ Bc meson events have been recorded at the LHCb detector, especially some two-body hadronic decay modes. We analyzed the weak decays of the $$B_c$$ Bc meson into two hadron states under the flavor SU(3) symmetry. The relations among amplitudes of $$B_c$$ Bc into $$ D+P(V)$$ D+P(V) , $$B+P(V)$$ B+P(V) , $$P(V)+P(V)$$ P(V)+P(V) , $$T_8+\bar{T}_8$$ T8+T¯8 and $$T_{10}+{\bar{T}}_{10}$$ T10+T¯10 were investigated systematically, where P ( V) denotes a light pseudoscalar (vector) meson and $$T_{8,10}$$ T8,10 denotes a light baryon. The $$\eta -\eta '$$ η-η′ mixing and $$\omega -\phi $$ ω-ϕ mixing effects are also considered for the phenomenological discussions. We obtained the relations among decay widths of different $$B_c$$ Bc decay channels. These results are helpful to study the two-body decay properties of the $$B_c$$ Bc meson and test the flavor SU(3) symmetry.