Searching for exotic states in the $N\pi K$ system

Abstract

We study the $N\pi K$ system in order to investigate the possibility of existence of strangeness +1 resonance(s). The formalism consists of solving the Faddeev equations with the $N\pi$, $\pi K$ and $KN$ $t$-matrices obtained from chiral dynamics. The same formalism, which leads to the finding of several $1/2^{+}$ resonances in the corresponding three-body $S$ = -1 channels in the 1400-2000 MeV energy region, results into only one broad bump around 1700 MeV with isospin 0. The amplitudes in isospin 1 and 2 configuration do not have any resonant structure.

References in corpus (10)

• A Structure at 2175 MeV in $e^{+}{e}^{-}\to \varphi f_0(980)$ Observed via Initial-State Radiation
• X(2175) as a resonant state of the $\varphi K\bar{K}$ system
• Observation of Y(2175) in $J/\psi \to \eta \varphi f_0(980)$
• The $e^{+}{e}^{-}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$, $K^{+}{K}^{-}{\pi }^0{\pi }^0$ and $K^{+}{K}^{-}{K}^{+}{K}^{-}$ Cross Sections Measured with Initial-State Radiation
• Evidence of the Θ^+ in the γd \to K^+K^-pn reaction
• Three body resonances in two meson-one baryon systems
• K anti-K N molecule state with I=1/2 and J^P=1/2^+ studied with three-body calculation
• The $N^{\ast }(1710)$ as a resonance in the $\pi \pi N$ system
• Solution to Faddeev equations with two-body experimental amplitudes as input and application to J^P=1/2^+, S=0 baryon resonances
• Three-body hadronic structure of low-lying $1/2^{+}$ $\Sigma$ and $\Lambda$ resonances

Cited by in corpus (6)

• The Y(4260) as a $J/\psi K\bar{K}$ system
• $K\Lambda (1405)$ configuration of the $K\bar{K}N$ system
• Theoretical study of the $KK\bar{K}$ system and dynamical generation of the K(1460) resonance
• Coupled channel Faddeev calculations of a (Kbar-N-pi) quasibound state
• A study of the $KN$-$K^{\ast }N$ coupled systems
• Dynamically generated states from the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$, and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems within the fixed-center approximation