On Lowest Lying $\frac{1}{2}^-$ Octet Baryons

TL;DR

This paper investigates the existence of the $N^*(890)$ 1/2^- baryon within a flavor $SU(3)$ framework using $K$ matrix unitarization, confirming its presence alongside other low-lying poles in different channels.

Contribution

It provides a theoretical analysis supporting the existence of the $N^*(890)$ baryon through $SU(3)$ symmetry and unitarization methods, adding evidence to its status in baryon spectroscopy.

Findings

$N^*(890)$ co-exists with other low-lying poles in different channels.

The existence of $N^*(890)$ is further verified within the $SU(3)$ scheme.

Multiple low-lying poles are identified in the analysis.

Abstract

The recently proposed $N^*(890)$ $1/2^-$ baryon is studied in a flavor $SU(3)$ scheme with $K$ matrix unitarization, by fitting to low energy cross section and phase shift data. It is found that $N^*(890)$ co-exists with low lying poles in other channels, which have been extensively discussed in the literature, though they belong to different octets, in the $SU(3)$ limit. Hence the existence of $N^*(890)$ is further verified.