Particle configurations in the \(NN\bar K\) system

Three-body \(AAB\) model for the \(NN{\bar K}(s_{NN}=0)\) kaonic cluster is considered based on the configuration space Faddeev equations. Within a single-channel approach, the difference between masses of nucleons and kaons and the charge independence breaking of nucleon-nucleon interaction are taken into consideration. We definite the particle configurations in the system according to the particle masses and pair potentials. There are two sets of the particle configurations, \( ppK^-\), \(np \bar{K^0}\) and \(nn {\bar K}^0\), \(npK^-\), charged and neutral. The three-body calculations are performed by applying \(NN\) and \(N\bar K\) phenomenological isospin-dependent potentials. The mass and energy spectra related to the particle configurations are presented. We evaluate the mass and energy uncertainties for the \(NN\bar K\) model. An analogy to \(NNN\) model for the \(^3\)H and \(^3\)He nuclei is proposed.