AbstractAfter the discovery of the double-charm baryon $$\Xi _{cc}^{++}$$
Ξ
cc
+
+
by LHCb, one of the most important topics is to search for the bottom-charm baryons which contain a b quark, a c quark and a light quark. In this work, we study the two-body non-leptonic weak decays of a bottom-charm baryon into a spin-1/2 bottomed baryon and a light pseudoscalar meson with the short-distance contributions calculated under the factorization hypothesis and the long-distance contributions considering the final-state-interaction effects. The branching fractions of all fifty-seven decay channels are estimated. The results indicate that $$\Xi _{bc}^+\rightarrow \Xi _b^0\pi ^+$$
Ξ
bc
+
→
Ξ
b
0
π
+
, $$\Xi _{bc}^{0}\rightarrow \Xi _{b}^{-}\pi ^+$$
Ξ
bc
0
→
Ξ
b
-
π
+
and $$\Omega _{bc}^0\rightarrow \Omega _b^-\pi ^+$$
Ω
bc
0
→
Ω
b
-
π
+
decay modes have relatively large decay rates and thus could be used to experimentally search for the bottom-charm baryons. The topological diagrams and the SU(3) symmetry of bottom-charm baryon decays are discussed.