\(\bar{K}\)N Interactions in the Nuclear Medium and \(\bar{K}\) Nuclear Quasi-Bound States

Abstract

Recent calculations of K − nuclear quasi-bound states are reviewed. We focus on the role played by energy dependendence of theKN interactions constructed within chirally motivated coupled channel models that capture the physics of the Λ(1405) resonance. First, we discuss three-body and four-body systems and compare binding energies and widths of kaonic nuclear quasi-bound states calculated using chiral and phenomenologicalKN interactions. Then, we use in-mediumKN scattering amplitudes developed within chirally-based models to construct K − nuclear potentials for calculations of K − nuclear states in many-body systems. We demonstrate that correct self-consistent treatment of the strong energy dependence of the scattering amplitudes is crucial.