Three- and four-body kaonic nuclear states: Binding energies and widths

Using separable potentials for the K¯N - πΣ interaction, we investigated four-body kaonic nuclear systems, such as K-ppn and K-K-pp , with the Faddeev AGS method in the momentum representation. The Faddeev calculations are based on the quasi-particle method and the method of energy-dependent pole expansion was used to obtain the separable representation for the integral kernels in the three- and four-body equations. Different types of K¯N - πΣ potentials based on phenomenological and chiral SU(3) approach are used and it was shown that the kaonic nuclear systems under consideration are tightly bound.