CP Violation in Hadronic Weak Decays of Charmed Baryons in the Topological Diagrammatic Approach

TL;DR

This paper investigates CP violation in charmed baryon decays using topological and SU(3) flavor symmetry approaches, predicting observable CP asymmetries at the per mille level due to long-distance effects.

Contribution

It introduces a detailed analysis of CP violation in charmed baryons focusing on flavor structures and contributions of various topologies within the topological diagram and SU(3) approaches.

Findings

CP violation at the per mille level predicted in specific decay modes.

Sizable CP asymmetries from SU(3)-flavor-singlet hairpin diagrams.

Identification of decay channels with significant CP violation signals.

Abstract

CP violation in the charmed baryon sector is generally expected to be very small, of order $10^{-4}$ or even smaller. Nevertheless, large long-distance penguin topologies can be induced through final-state rescattering. At the hadron level, they are manifested as the triangle and bubble diagrams. However, these diagrams consist of not only the penguin but also other tree topologies. Therefore, we focus on the flavor structure of the these diagrams and project out their contributions to penguin and tree topologies. The analysis is performed within the framework of the topological diagram approach and the irreducible SU(3) approach in which the SU(3) flavor symmetry of QCD is realized to describe the nonleptonic decays of charmed baryons. CP violation at the per mille level is found in the following decay modes: $\Lambda_c^+ \to p \pi^0,~\Lambda_c^+ \to p \eta', ~\Xi_c^0 \to \Sigma^0\eta$ and $\Xi_c^+ \to \Sigma^+ \eta$. CP asymmetries in the last three modes receive sizable contributions from the SU(3)-flavor-singlet hairpin diagram.