Realistic calculations of , , and quasibound states

Binding energies and widths of three-body K A= N N , and of four-body K A= N N N and K A= K A= N N nuclear quasibound states are calculated in the hyperspherical basis, using realistic NN potentials and subthreshold energy dependent chiral K A= N interactions. Results of previous K a p p calculations are reproduced and an upper bound is placed on the binding energy of a K a d quasibound state. A self-consistent handling of energy dependence is found to restrain binding, keeping the calculated four-body ground-state binding energies to relatively low values of about 30 MeV. The lightest strangeness a2 particle-stable K A= nuclear cluster is most probably K A= K A= N N . The calculated K A= N a I Y conversion widths range from approximately 30 MeV for the K A= N N N ground state to approximately 80 MeV for the K A= K A= N N ground state.