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

TL;DR

This paper analyzes four-body nonleptonic weak decays of doubly heavy baryons, providing parametrizations of decay amplitudes and suggesting promising channels for future experimental searches at facilities like LHC and Belle II.

Contribution

It offers a detailed SU(3) symmetry-based analysis of four-body decay modes of doubly heavy baryons, highlighting potential observable channels for future experiments.

Findings

Decay amplitudes parametrized using SU(3) irreducible amplitudes.

Identification of promising decay channels for experimental detection.

Branching fractions for certain processes could guide future searches.

Abstract

The LHCb Collaboration announced the observation of doubly charmed baryon through $\Xi_{c c}^{++} \rightarrow \Lambda_{c}^{+} K^{-} \pi^{+} \pi^{+}$ 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 $\Xi_{c c}^{++}$ 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.