Signature of $N^{\star }$ resonance in mass spectrum of the $K\bar{K}N$ decay channels

Abstract

Three-body calculations of $I=\frac{1}{2}$, $J^{\pi }={\frac{1}{2}}^{+}$ state of $K\bar{K}N$ system were performed. Using separable potentials for two-body interactions in the Faddeev equation, different reaction process for $K\bar{K}N$ three-body system were studied. Within this method, the $\pi \Sigma K$ and $\pi \eta N$ mass spectra were extracted. Different types of $\bar{K}N-\pi \Sigma$ potentials based on phenomenological and chiral SU(3) approach were used and the dependence of the mass spectra to the $\bar{K}N$ model of interaction were studied. It was shown that the $\pi \Sigma K$ and $\pi \eta N$ mass spectra could be a useful tool to study the properties of the $N^{\star }$ resonance.

17 pages

References in corpus (20)

• 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
• 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
• Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model
• $K^{-}pp$ system with chiral SU(3) effective interaction
• Measurement of the Sigma pi photoproduction line shapes near the Lambda(1405)
• Energy dependence of barKN interactions and resonance pole of strange dibaryons
• Resonance energy of the barKNN-piYN system
• K anti-K N molecule state with I=1/2 and J^P=1/2^+ studied with three-body calculation
• Solution to Faddeev equations with two-body experimental amplitudes as input and application to J^P=1/2^+, S=0 baryon resonances
• anti-K anti-K N molecule state in three-body calculation
• Dynamical generation of pseudoscalar resonances
• Relevance of complex branch points for partial wave analysis
• 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
• Deeply quasi-bound state in single- and double-$\bar{K}$ nuclear clusters
• Structure, formation and decay of $\bar{K}NN$ system by Faddeev-AGS calculations

Cited by in corpus (2)

• 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