Weak decays of bottom-charm baryons: $$\mathcal {B}_{bc}\rightarrow \mathcal {B}_bP$$
Jia-Jie Han (School of Nuclear Science and Technology, Lanzhou University, Lanzhou, 730000, China, Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing, Jiangsu, 210023, China); Rui-Xiang Zhang (Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing, Jiangsu, 210023, China); Hua-Yu Jiang (School of Nuclear Science and Technology, Lanzhou University, Lanzhou, 730000, China, Theoretische Physik 1, Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Siegen, 57068, Germany); Zhen-Jun Xiao (Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing, Jiangsu, 210023, China); Fu-Sheng Yu (Center for High Energy Physics, Peking University, Beijing, 100871, China, School of Nuclear Science and Technology, Lanzhou University, Lanzhou, 730000, China, Lanzhou Center for Theoretical Physics, Lanzhou University, Lanzhou, Gansu, 730000, China, Frontier Science Center for Rare Isotopes, Lanzhou University, Lanzhou, 730000, China)
After the discovery of the double-charm baryon $$\Xi _{cc}^{++}$$ 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 $$\Xi _{bc}^+\rightarrow \Xi _b^0\pi ^+$$ , $$\Xi _{bc}^{0}\rightarrow \Xi _{b}^{-}\pi ^+$$ and $$\Omega _{bc}^0\rightarrow \Omega _b^-\pi ^+$$ 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.
