Investigation of $η'N$ system using linear sigma model

Shuntaro Sakai, Daisuke Jido

Published 2016-07-25Version 1

In this paper, we investigate the $\eta'N$ system using the three-flavor linear sigma model including the effect of the flavor SU(3) symmetry breaking. The $\eta'N$ bound state is found also in the case including the flavor symmetry braking and the coupling with the $\eta N$ and $\pi N$ channels. The $\eta'N$ interaction becomes more attractive with the inclusion of the flavor symmetry breaking which causes the 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 the theoretical and experimental viewpoint.