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In the present work we investigate the three-body systems of $\eta K \bar K$and $\eta' K \bar K$, by taking the fixed center approximation to Faddeevequations. We find a clear and stable resonance structure around 1490 MeV inthe squared $\eta K \bar K$ scattering amplitude, which is not sensitive to therenormalization parameters. Conversely, we get only an enhancement effect ofthe threshold in the $\eta' K \bar K$ amplitude that indicates the difficultyto bind the $\eta' K \bar K$ system as a consequence of a weaker $\eta' K$interaction than the $\eta K$ one. We associate the $\eta K \bar K$ state foundto the $\eta(1475)$.

A study of $\eta K \bar K$ and $\eta' K \bar K$ with the fixed center approximation to Faddeev equations