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Three-body calculations of $I=\frac{1}{2}$, $J^{\pi}=\frac{1}{2}^{+}$ stateof $K\bar{K}N$ system were performed. Using separable potentials for two-bodyinteractions in the Faddeev equation, different reaction process for$K\bar{K}N$ three-body system were studied. Within this method, the$\pi\Sigma{K}$ and $\pi\eta{N}$ mass spectra were extracted. Different types of$\bar{K}N-\pi\Sigma$ potentials based on phenomenological and chiral SU(3)approach were used and the dependence of the mass spectra to the $\bar{K}N$model of interaction were studied. It was shown that the $\pi\Sigma{K}$ and$\pi\eta{N}$ mass spectra could be a useful tool to study the properties of the$N^{\star}$ resonance.

Signature of $N^{\star}$ resonance in mass spectrum of the $K\bar{K}N$ decay channels