Structure, formation and decay of $\bar{K}NN$ system by Faddeev-AGS calculations

Abstract

The Faddeev AGS equations are solved for coupled-channels $\bar{K}NN-\pi \Sigma N$ system with quantum numbers $I=1/2$ and $S=0$. Using separable potentials for $\bar{K}N-\pi \Sigma$ interaction, we have calculated the transition probability for the $(Y_K{)}_{I=0}+N\to \pi \Sigma N$ reaction. The possibility to observe the trace of $K^{-}pp$ quasi-bound state in the $\pi \Sigma N$ mass spectra was studied. Various types of chiral based and phenomenological potentials are used to describe the $\bar{K}N-\pi \Sigma$ interaction. It was shown that not only we can see the signature of the $K^{-}pp$ quasi-bound state in the mass spectra, but also, one can see the trace of branch points in the observables.

22 papges, 10 figures, to be published in Chinese Physics C

References in corpus (19)

• 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
• Variational calculation of the ppK^- system based on chiral SU(3) dynamics
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• $K^{-}pp$ system with chiral SU(3) effective interaction
• Energy dependence of barKN interactions and resonance pole of strange dibaryons
• Resonance energy of the barKNN-piYN system
• Three-body model calculations of Nucleon-Delta and Delta-Delta dibaryon resonances
• Super strong nuclear force caused by migrating Kbar mesons - Revival of the Heitler-London-Heisenberg scheme in kaonic nuclear clusters
• Calculation of the ${}^3$He(in-flight $K^{-}$,$n$) reaction for searching the deeply-bound $K^{-}pp$ state
• Formation spectra of light kaonic nuclei by in-flight ($\bar{K},N$) reactions with chiral unitary amplitude
• Three- and four-body kaonic nuclear states: Binding energies and widths
• Coupled-channels Faddeev AGS calculation of $K^{-}ppn$ and $K^{-}ppp$ quasi-bound states
• Signature of the $\Lambda (1405)$ resonance in neutron spectra from the $K^{-}+d$ reaction
• Deeply quasi-bound state in single- and double-$\bar{K}$ nuclear clusters
• What makes the peak structure of the $\Lambda p$ invariant-mass spectrum in the $K^{-}{}^3\mathrm{He}\to \Lambda pn$ reaction?

Cited by in corpus (3)

• 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