Weak decays of doubly heavy baryons: four-body nonleptonic decay channels

Abstract

The LHCb Collaboration announced the observation of doubly charmed baryon through ${\Xi }_{cc}^{++}\to {\Lambda }_c^{+}{K}^{-}{\pi }^{+}{\pi }^{+}$ in 2017. Since then, a series of studies of doubly heavy baryons have been presented. ${\Xi }_{cc}^{++}$ was discovered through nonleptonic four-body decay mode, and experimental data has indicated that the decay modes of ${\Xi }_{cc}^{++}$ are not saturated by two and three-body intermediate states. In this work, we analyze the four-body weak decays of doubly heavy baryons ${\Xi }_{cc}^{++},{\Xi }_{cc}^{+}$, and ${\Omega }_{cc}^{+}$. Decay amplitudes for various channels are parametrized in terms of SU(3) irreducible amplitudes. We point out that branching fractions for Cabibbo-allowed processes ${\Xi }_{cc}^{+}\to {\Lambda }_c^{+}{\pi }^{+}{\pi }^0{K}^{-}$, ${\Omega }_{cc}^{+}\to {\Lambda }_c^{+}{\pi }^{+}{\overline{K}}^0{K}^{-}$ would be helpful to search for ${\Xi }_{cc}^{+}$ and ${\Omega }_{cc}^{+}$ in future measurements at experimental facilities like LHC, Belle II, and CEPC.

Comments: 15 pages, 3 figures and 3 tables