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Description
Three-body $NN\bar K$ model for the "$ppK^-$" quasi-bound kaonic cluster is considered on the basis of the configuration space Faddeev equations. A single-channel approach is used taking into account the difference of nucleon and kaon masses as well as the charge independence breaking of nucleon-nucleon interaction. Two sets of the particle configurations, $ ppK^-$, $np \bar {K^0}$ and $nn{\bar K}^0$, $npK^-$, are presented as charged and neutral systems according to total isospin projections. We formulate an $AAB$ model for each configuration.
The calculations are performed with $NN$ and $N\bar K$ phenomenological isospin dependent potentials. The mass and energy spectra are calculated. The mass deference effect was found to be not significant, less then 1 MeV.
The Coulomb force contribution of the $ppK^-$ configuration is computed. The attraction effect of the $NN$ interaction is shown
and exchange term related to permutation of identical particles is evaluated. The spatial distribution of the particles in the systems is given.