Resonance model study on $K^+ N \rightarrow K N \eta$ near threshold

TL;DR

This study uses a resonance model to analyze $K^+ N ightarrow K N a$ reactions near threshold, highlighting the dominant exchange mechanisms and their potential to elucidate the properties of the $N^*(1535)$ resonance.

Contribution

It introduces a resonance model focusing on hyperon and $ ho$ exchange diagrams to study $K^+ N ightarrow K N a$ reactions near threshold, emphasizing the role of $N^*(1535)$ excitation.

Findings

Hyperon and $ ho$ exchange dominate the reactions.

Angular distributions reveal mechanisms of $N^*(1535)$ excitation.

Reactions are promising for studying $N^*(1535)$ couplings.

Abstract

By using resonance model, we investigate $K^+ N \rightarrow K N \eta$ reactions with the assumption that these reactions are dominated by the excitation of $N^*(1535)$ near threshold. It is found that the hyperon and $\rho$ exchange diagrams give the most important contributions to these reactions. Thus these reactions may be a good place to study the coupling of $N^*(1535)$ with $K\Lambda$, $K\Sigma$ and $N\rho$ channels. We demonstrate that the angular distributions of final particles provide useful information about the different mechanisms of the $N^*(1535)$ excitations, which could be useful for future experimental analysis on these reactions.