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

## TL;DR

This study uses advanced Faddeev calculations with separable potentials to explore four-body kaonic nuclear states, revealing they are tightly bound systems with specific binding energies and widths.

## Contribution

It introduces a detailed four-body analysis of kaonic nuclear states using the Faddeev AGS method with separable potentials, comparing phenomenological and chiral models.

## Key findings

- Kaonic systems are tightly bound.
- Binding energies and widths are calculated.
- Different potential models yield consistent results.

## 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.