Identifying the two-pole structure of the $\Lambda(1405)$ using an SU(3) flavor filter

TL;DR

This paper introduces a new method using SU(3) flavor filtering in charmonium decays to distinguish the two-pole structure of the $ ext{Lambda}(1405)$, aiding in resolving a longstanding puzzle.

Contribution

The paper proposes a novel SU(3) flavor filter approach to identify the two-pole structure of $ ext{Lambda}(1405)$ in charmonium decay reactions, even with flavor symmetry breaking.

Findings

Flavor octet and singlet poles can be distinguished in specific decay modes.

The method remains effective despite flavor symmetry breaking.

Large charmonium datasets can potentially resolve the $ ext{Lambda}(1405)$ puzzle.

Abstract

We propose a novel method to identify the two-pole structure of the $\Lambda(1405)$. The two poles owe their origin to different quark flavor irreducible representations in the meson-baryon coupled-channel interactions, thus they should be individually manifested in reactions that provide good flavor eigenstate sources. Hadronic decays of charmonia into $\bar{\Lambda}\Sigma\pi$ and $\bar{\Lambda}(1520)\Sigma\pi$ are such reactions, and the flavor octet and singlet poles can be approximately singled out in these two decay modes. This SU(3) flavor filter works even considering the flavor symmetry breaking. With the huge charmonium data sets collected, it is therefore promising to solve the long-standing $\Lambda(1405)$ puzzle employing the proposed flavor filter.