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

Abstract

Using separable potentials for $\bar{K}N-\pi \Sigma$ 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 the 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 $\bar{K}N-\pi \Sigma$ 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.

Comments: 17 pages, 3 figures, Eur. Phys. J. A (2019) 55: 43