Three- and four-body kaonic nuclear states: Binding energies and widths
Abstract.Using separable potentials for the $ \bar{K}N$K¯N - $ \pi\Sigma$πΣ interaction, we investigated four-body kaonic nuclear systems, such as $ K^{-}ppn$K-ppn and $ K^{-}K^{-}pp$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 $ \bar{K}N$K¯N - $ \pi\Sigma$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.