Effect of the final state interaction of ${\eta }^{\prime }N$ on the ${\eta }^{\prime }$ photoproduction off nucleon

Abstract

We investigate the ${\eta }^{\prime }$ photoproduction off the nucleon with a particular interest in the effect of the final-state interaction (FSI) of the ${\eta }^{\prime }$ meson and nucleon $({\eta }^{\prime }N)$ based on three-flavor linear sigma model. We find an enhancement in the cross section of the ${\eta }^{\prime }$ photoproduction near the ${\eta }^{\prime }N$-threshold energy owing to the ${\eta }^{\prime }N$ FSI. With the ${\eta }^{\prime }$ meson at forward angles, the energy dependence near the ${\eta }^{\prime }N$ threshold is well reproduced with the ${\eta }^{\prime }N$ FSI. The cross section at backward angles can also be a good probe to investigate the strength of the ${\eta }^{\prime }N$ interaction.

19 pages, 11 figures. Introduction is revised, and some considerations are added

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Cited by in corpus (2)

• Proton-${\eta }^{\prime }$ interactions at threshold
• Possible ${\eta }^{\prime }d$ bound state and its $s$-channel formation in the $\gamma d\to \eta d$ reaction