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In the framework of the Faddeev equations in configuration space weperform an analysis of quasi-bound state of the   NN{\bar K}    N  N   K  ‾system within a particle model. In our approach, the system   NN{\bar K}(s_{NN}=0)    N  N   K  ‾   (   s   N  N    =  0  )(   NN{\bar K}(s_{NN}=1))    N  N   K  ‾   (   s   N  N    =  1  )  )is described as a superposition of    ppK^{-}    p  p   K  −and    pn{\bar K}^0    p  n    K  ‾   0(   nn{\bar K}^{0}    n  n    K  ‾   0and    pn{ K}^-    p  n   K  −)states, which is possible due to a particle transition. The relation ofthe particle model to the theory of a two-state quantum system isaddressed and discussed taking into account the possibilities of deepand shallow    NN{\bar K}(s_{NN}=0)    N  N   K  ‾   (   s   N  N    =  0  )quasi-bound states.

Particle representation for $NN{\bar K}$ system