Lower Bound for ppK- Quasi-Bound State Energy

The kaonic cluster ppK(-) is described as NN (K) over bar (s(NN) = 0) system within the isospin formalism based on the configuration space Faddeev equations. In the model, the isospin singlet N (K) over bar state is a deeply bound state associated with Lambda(1405) hyperon. The phenomenological isospin-dependent N (K) over bar potentials are used for the calculation of ppK(-) quasi-bound state energy. The existence of a lower bound for the energy is shown by theoretical and numerical analysis. In contrast to the isospin formalism based model, the isospinless model obtained by isospin averaging N (K) over bar potential is also considered. The results of both models are compared.