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.

arXiv comment17 pages, 3 figures, Eur. Phys. J. A (2019) 55: 43

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• Structure, formation and decay of $\bar{K}NN$ system by Faddeev-AGS calculations
• Quasi-bound state in the $\bar{K}NNN$ system
• Signature of $N^{\star }$ resonance in mass spectrum of the $K\bar{K}N$ decay channels
• 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