A study of $\eta K\bar{K}$ and ${\eta }^{\prime }K\bar{K}$ with the fixed center approximation to Faddeev equations

Abstract

In the present work we investigate the three-body systems of $\eta K\bar{K}$ and ${\eta }^{\prime }K\bar{K}$, by taking the fixed center approximation to Faddeev equations. We find a clear and stable resonance structure around 1490 MeV in the squared $\eta K\bar{K}$ scattering amplitude, which is not sensitive to the renormalization parameters. Conversely, we get only an enhancement effect of the threshold in the ${\eta }^{\prime }K\bar{K}$ amplitude that indicates the difficulty to bind the ${\eta }^{\prime }K\bar{K}$ system as a consequence of a weaker ${\eta }^{\prime }K$ interaction than the $\eta K$ one. We associate the $\eta K\bar{K}$ state found to the $\eta (1475)$.

with comment on other work. scale in figures modified. arXiv admin note: text overlap with arXiv:1207.4030

References in corpus (24)

• Infrared Properties of QCD from Dyson-Schwinger equations
• Dynamically Generated Open and Hidden Charm Meson Systems
• Dynamically generated 0^+ heavy mesons in a heavy chiral unitary approach
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• Variational calculation of the ppK^- system based on chiral SU(3) dynamics
• Origin of resonances in the chiral unitary approach
• Axial Resonances in the Open and Hidden Charm Sectors
• D Mesons in Nuclear Matter: A DN Coupled-Channel Equations Approach
• Open charm in nuclear matter at finite temperature
• Energy dependence of barKN interactions and resonance pole of strange dibaryons
• 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
• Couplings in coupled channels versus wave functions in the case of resonances: application to the two $\Lambda (1405)$ states
• Solution to Faddeev equations with two-body experimental amplitudes as input and application to J^P=1/2^+, S=0 baryon resonances
• The $\bar{K}NN$ system with chiral dynamics
• Hidden beauty baryon states in the local hidden gauge approach with heavy quark spin symmetry
• Dynamical generation of pseudoscalar resonances
• On the ϕ(1020)f_0(980) S-wave scattering and the Y(2175) resonance
• Low-lying even parity meson resonances and spin-flavor symmetry
• Meson-baryon scattering lengths in HB$\chi$PT
• On the nature of the K*2(1430), K*3(1780), K*4(2045), K*5(2380) and K*6 as K*--multi-rho states
• Plausible explanation of the ${\Delta }_{5/2^{+}}(2000)$ puzzle
• Predicting the existence of a 2.9 GeV $D{f}_0(980)$ molecular state
• Chiral Unitary Dynamics of Hadrons and Hadrons in a Nuclear Medium

Cited by in corpus (14)

• Pentaquark and Tetraquark states
• $S$- and $P$-wave fully-strange tetraquark states from QCD sum rules
• Glueballs as the Ithaca of meson spectroscopy
• Study of the $DKK$ and $DK\bar{K}$ systems
• QCD sum rule studies on the $ss\bar{s}\bar{s}$ tetraquark states of $J^{PC}=0^{-+}$
• Possible bound states with hidden bottom from ${\bar{K}}^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ systems
• Tri-meson bound state $BB{B}^{\ast }$ via delocalized $\pi$~Bond
• Description of $\rho (1700)$ as a $\rho K\bar{K}$ system with the fixed center approximation
• Faddeev fixed center approximation to $\pi \bar{K}{K}^{\ast }$ system and the ${\pi }_1(1600)$
• Faddeev fixed-center approximation to the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$ and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems
• Looking for bound states and resonances in the ${\eta }^{\prime }K\bar{K}$ system
• States generated in the $K$-multi-$\rho$ interactions
• 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
• Three-body scattering problem in the fixed center approximation: the case of attraction