Investigation of the $\eta'N$ system using the linear sigma model

TL;DR

This study explores the $ ext{η'}N$ interaction using the linear sigma model, revealing a bound state influenced by flavor symmetry breaking, which could impact understanding of $ ext{η'}$-nucleus systems.

Contribution

It introduces a detailed analysis of the $ ext{η'}N$ system with flavor symmetry breaking effects within the linear sigma model, highlighting the potential for bound state formation.

Findings

The $ ext{η'}N$ interaction becomes more attractive with flavor symmetry breaking.

A bound state of $ ext{η'}N$ is predicted when including symmetry breaking and channel couplings.

Flavor symmetry breaking enhances mixing between scalar mesons.

Abstract

In this paper, we investigate the $\eta'N$ system using the three-flavor linear sigma model including the effect of flavor SU(3) symmetry breaking. The $\eta'N$ bound state is also found in the case including flavor symmetry breaking and coupling with the $\eta N$ and $\pi N$ channels. The $\eta'N$ interaction becomes more attractive with the inclusion of flavor symmetry breaking, which causes mixing between the singlet and octet scalar mesons. The existence of such a bound state would have some impact on the $\eta'$-nucleus system, which is of interest from both theoretical and experimental viewpoints.