Weak Decays of Antitriplet Charmed Baryons from the Perspective of Flavor Symmetry

TL;DR

This paper performs a comprehensive analysis of weak decays of antitriplet charmed baryons using SU(3) flavor symmetry, fitting experimental data to predict decay observables and explore symmetry breaking effects.

Contribution

It introduces a global fitting approach incorporating SU(3) symmetry breaking, predicting decay parameters and proposing new experimental tests for charmed baryon decays.

Findings

Experimental data favor SU(3) symmetry breaking scenario.

Most predictions align with current experimental measurements.

Proposes new measurements to clarify decay asymmetries and symmetry effects.

Abstract

In this work, we carry out a global fitting for the two-body weak decays of antitriplet charmed baryons in both SU(3) respected and broken scenarios incorporating all the available data up to date. In the SU(3) irreducible representation approach (IRA), more amplitudes for irreducible representation terms are taken into account and the ranges for their coefficients in each scenarios are predicted. By a comparison among various fitting schemes in this work, experimental data prefer the SU(3) symmetry breaking scenario. Observables of interest, branching fractions and decay asymmetries of all the Cabibbo-favored (CF), singly Cabibbo-suppresed (SCS) and doubly Cabibbo-suppressed (DCS) channels are calculated in the chosen fitting scheme. Most of our predictions are consistent well with experimental data. We further propose more ways to explore the SU(3) symmetry in charmed baryon decays. An improved measurement for $\alpha(\Lambda_c^+\to p K_S)$ is called for since predictions from both fittings, including the one in current work and earlier works, and the pole model calculation prefer an opposite sign from previous experimental value. Given branching fractions of most of the CF modes and part of the SCS modes being measured, predictions for the remaining channels, including the DCS modes as well as more decay asymmetries, are anticipated to be checked by the upcoming experiments in BESIII, Belle/Belle-II and LHCb.