Three-body antikaon-nucleon systems

Abstract

The paper contains a review of the exact or accurate results achieved in the field of the three-body antikaon-nucleon physics. Different states and processes in $\bar{K}NN$ and $\bar{K}\bar{K}N$ systems are considered. In particular, quasi-bound states in $K^{-}pp$ and $K^{-}{K}^{-}p$ systems were investigated together with antikaonic deuterium atom. Near-threshold scattering of antikaons on deuteron, including the $K^{-}d$ scattering length, and applications of the scattering amplitudes are also discussed. All exact three-body results were calculated using some form of Faddeev equations. Different versions of $\bar{K}N$, $\Sigma N$, $\bar{K}\bar{K}$, and $NN$ potentials, specially constructed for the calculations, allowed investigation of the dependence of the three-body results on the two-body input. Special attention is paid to the antikaon-nucleon interaction, being the most important for the three-body systems. Approximate calculations, performed additionally to the exact ones, demonstrate accuracy of the commonly used approaches.

27 pages, 2 figures, 5 tables; modified version accepted for publication in Few-Body Systems journal

References in corpus (15)

• Faddeev calculation of a $K^{-}pp$ quasi-bound state
• Strange dibaryon resonance in the anti-KNN--piYN system
• Variational calculation of the ppK^- system based on chiral SU(3) dynamics
• Indication of a deeply bound compact K-pp state formed in the pp -> p Lambda K+ reaction at 2.85 GeV
• $\bar{K}NN$ quasi-bound state and the $\bar{K}N$ interaction: coupled-channel Faddeev calculations of the $\bar{K}NN-\pi \Sigma N$ system
• Measurement of the Sigma pi photoproduction line shapes near the Lambda(1405)
• Energy dependence of barKN interactions and resonance pole of strange dibaryons
• Kaon-nucleon scattering lengths from kaonic deuterium experiments
• anti-K anti-K N molecule state in three-body calculation
• The K+K+ Scattering Length from Lattice QCD
• Faddeev calculations of the $\bar{K}NN$ system with chirally-motivated $\bar{K}N$ interaction. II. The $K^{-}pp$ quasi-bound state
• Faddeev-Chiral Unitary Approach to the $K^{-}d$ scattering length
• Signature of the $\Lambda (1405)$ resonance in neutron spectra from the $K^{-}+d$ reaction
• Three-body calculation of the $1s$ level shift in kaonic deuterium
• $K^{-}d\to \pi \Sigma n$ reactions and structure of the $\Lambda (1405)$