obtained :

1\) To account properly for the KN force range, short range KN correlations and the NN repulsion, a two step calculation is performed. First a wave function involving strongly correlated K-N subsystems is found in a fixed nucleon approximation. This step also allows one to find potentials due to the K meson which tend to contract the nucleons. Next, these correlated wave functions and contracting potentials are used as the input in variational calculations for the K-few nucleon binding. In the KNN case the binding energy and width are found by solving the Schrödinger equation.

2\) While the dominant mechanism of attraction is related to the $\Lambda(1405)$ state, it is found that another resonant state, the $\Sigma(1385)$, contributes significantly to the structure of the bound states but much less to the binding in KNN and K-few-N systems. In addition the $\Sigma(1385)$ generates new branches of nuclear states that could not be generated by the $\Lambda(1405)$ alone.

3\) The binding energy is determined to a large extent by the attraction and the repulsive core in NN interactions. With the Argonne NN potential [@ARG95] one obtains the lowest state of KNN bound by about 40-80 MeV and a KNNN state 