A Realistic Approach to the $$\varXi NN$$ Bound-State Problem Based on Faddeev Equation

The Faddeev equations for the $\Xi NN$ bound-state problem are solved where three $S$=$-2$ baryon-baryon interactions of J\"ulich-Bonn-M\"unchen chiral EFT, HAL QCD and Nijmegen ESC08c used. $T$-matrix $T_{\Xi N, \Xi N}$ obtained within original $\Lambda\Lambda$-$\Xi N$-$\Sigma\Sigma$ $/$ N$-$\Lambda \Sigma$-$\Sigma\Sigma$ coupled-channel framework is employed as an input to equations. We found no bound state EFT but generates a with total isospin spin-parity $(T,J^{\pi})=(1/2, 3/2^+)$ decays into $\Lambda\Lambda N$ suppressed.