Test Flavor SU(3) symmetry in Exclusive $\Lambda_c$ decays

TL;DR

This paper discusses how exclusive $ ext{Lambda}_c$ decays, especially into neutron states, can test flavor SU(3) symmetry and explore final state interactions, despite the lack of experimental data.

Contribution

It highlights the importance of specific $ ext{Lambda}_c$ decay modes into neutrons for testing flavor symmetry and understanding final state interactions.

Findings

Emphasizes the potential of $ ext{Lambda}_c$ decays into neutrons for symmetry tests.

Identifies key decay modes relevant for future experimental validation.

Provides a theoretical framework for analyzing unobserved decay channels.

Abstract

Flavor SU(3) symmetry is a powerful tool to analyze charmed baryon decays, however its applicability remains to be experimentally validated. Since there is not much data on $\Xi_c$ decays, various exclusive $\Lambda_c$ decays especially the ones into a neutron state are essential for the test of flavor symmetry. These decay modes are also helpful to investigate final state interactions in charmed baryon decays. In this work, we discuss the explicit roles of $\Lambda_c$ decays into a neutron in testing the flavor symmetry and exploring final state interactions. The involved decay modes include semileptonic decays, two-body and three-body non-leptonic decays, but all of them have not been experimentally observed to date.