Weak Decays of Doubly Heavy Baryons: Multi-body Decay Channels

Abstract

The newly-discovered ${\Xi }_{cc}^{++}$ decays into the ${\Lambda }_c^{+}{K}^{-}{\pi }^{+}{\pi }^{+}$, but the experimental data has indicated that this decay is not saturated by any two-body intermediate state. In this work, we analyze the multi-body weak decays of doubly heavy baryons ${\Xi }_{cc}$, ${\Omega }_{cc}$, ${\Xi }_{bc}$, ${\Omega }_{bc}$, ${\Xi }_{bb}$ and ${\Omega }_{bb}$, in particular the three-body nonleptonic decays and four-body semileptonic decays. We classify various decay modes according to the quark-level transitions and present an estimate of the typical branching fractions for a few golden decay channels. Decay amplitudes are then parametrized in terms of a few SU(3) irreducible amplitudes. With these amplitudes, we find a number of relations for decay widths, which can be examined in future.

Comments: 47pages, 1figure. arXiv admin note: substantial text overlap with arXiv:1707.06570