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.

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

References in corpus (11)

• Effective Kbar N interaction based on chiral SU(3) dynamics
• Faddeev calculation of a $K^{-}pp$ quasi-bound state
• Strange dibaryon resonance in the anti-KNN--piYN system
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• $\bar{K}NN$ quasi-bound state and the $\bar{K}N$ interaction: coupled-channel Faddeev calculations of the $\bar{K}NN-\pi \Sigma N$ system
• $K^{-}pp$ system with chiral SU(3) effective interaction
• Energy dependence of barKN interactions and resonance pole of strange dibaryons
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• Coupled-channels Faddeev AGS calculation of $K^{-}ppn$ and $K^{-}ppp$ quasi-bound states
• Deeply quasi-bound state in single- and double-$\bar{K}$ nuclear clusters

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• Structure of $\Lambda$(1405) resonance and $\gamma p\to K^{+}+(\pi \Sigma {)}^0$ reaction
• Trace of $\Lambda (1405)$ resonance in low energy $K^{-}+{}^3\mathrm{He}\to ({\pi }^0{\Sigma }^0)+d$ reaction
• Possible Existence of ${}_{\varphi }^3$H, ${}_{\varphi }^4$H, ${}_{\varphi }^4$He, and ${}_{\varphi }^5$He Nuclei
• Investigation of the $\bar{K}$--${}^6$Li Interaction and the Search for the $\Lambda (1405)$ Resonance