Isospin and Isospin-less Models for Kaonic Clusters

The kaonic clusters KKp and ppK are studied based on the configuration space Faddeev equations formulated for AAB system. We consider two models: isospin and isospin-less. The relations between the doubled binding energy of the AB subsystem 2B2 and the three-body binding energy B3(VAA$=$0), when the interaction between the identical particles is omitted, are different for these models. For the kaonic cluster described within isospin formalism the relation B3(VAA$=$0) \textless 2B2 is valid. The evaluation for the ppK binding energy B3 \textless 2B2 is result of a weak attraction of the spin singlet NN interaction. The isospin-less model leads to the relation B3(VAA$=$0) \textgreater 2B2. The results of calculations are presented.