Investigation of the ${\eta }^{\prime }N$ system using the linear sigma model

Abstract

In this paper, we investigate the ${\eta }^{\prime }N$ system using the three-flavor linear sigma model including the effect of flavor SU(3) symmetry breaking. The ${\eta }^{\prime }N$ bound state is also found in the case including flavor symmetry breaking and coupling with the $\eta N$ and $\pi N$ channels. The ${\eta }^{\prime }N$ 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 ${\eta }^{\prime }$-nucleus system, which is of interest from both theoretical and experimental viewpoints.

Comments: 15 pages, 2 figures