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

In the framework of the Faddeev equations in configuration space we perform 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 ‾ 0 and pn{ K}^- p n K − ) states, which is possible due to a particle transition. The relation of the particle model to the theory of a two-state quantum system is addressed and discussed taking into account the possibilities of deep and shallow NN{\bar K}(s_{NN}=0) N N K ‾ ( s N N = 0 ) quasi-bound states.