Improved Fixed Center Approximation of the Faddeev equations for the $\bar{K}NN$ system with S=0

Abstract

We extend the Fixed Center Approximation (FCA) to the Faddeev Equations for the $\bar{K}NN$ system with S=0, including the charge exchange mechanisms in the $\bar{K}$ rescattering which have been ignored in former works within the FCA. We obtain similar results to those found before, but the binding is reduced by 6 MeV. At the same time we also evaluate the explicit contribution the $\pi N\Sigma$ intermediate state in the three body system and find that it produces and additional small decrease in the binding of about 3 MeV. The system appears bound by about 35 MeV and the width omitting two body absorption, is about 50 MeV.

12 pages, 6 figures. arXiv admin note: substantial text overlap with arXiv:1102.2854

References in corpus (17)

• Chiral SU(3) theory of antikaon-nucleon interactions with improved threshold constraints
• Effective Kbar N interaction based on chiral SU(3) dynamics
• Faddeev calculation of a $K^{-}pp$ quasi-bound state
• K^- p scattering length from scattering experiments
• Strange dibaryon resonance in the anti-KNN--piYN system
• Variational calculation of the ppK^- system based on chiral SU(3) dynamics
• $\bar{K}NN$ quasi-bound state and the $\bar{K}N$ interaction: coupled-channel Faddeev calculations of the $\bar{K}NN-\pi \Sigma N$ system
• $K^{-}pp$ system with chiral SU(3) effective interaction
• X(2175) as a resonant state of the $\varphi K\bar{K}$ system
• On the Strangeness -1 S-wave Meson-Baryon Scattering
• Energy dependence of barKN interactions and resonance pole of strange dibaryons
• Resonance energy of the barKNN-piYN system
• Three body resonances in two meson-one baryon systems
• The $N^{\ast }(1710)$ as a resonance in the $\pi \pi N$ system
• The $\bar{K}NN$ system with chiral dynamics
• A new perspective on the Faddeev equations and the $\bar{K}NN$ system from chiral dynamics and unitarity in coupled channels
• Λ^{\ast}-hypernuclei in phenomenological nuclear forces

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• pK+Λfinal state: towards the extraction of the ppK- contribution
• Few-body systems consisting of mesons
• Few-body approach to structure of $\bar{K}$-nuclear quasi-bound states
• $\bar{K}NN$ Absorption within the Framework of the Fixed Center Approximation to Faddeev equations
• A prediction of $D^{\ast }$-multi-$\rho$ states
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• Possible bound states with hidden bottom from ${\bar{K}}^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ systems
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• Description of $\rho (1700)$ as a $\rho K\bar{K}$ system with the fixed center approximation
• Recent developments in antikaon-nucleon dynamics
• States generated in the $K$-multi-$\rho$ interactions
• Three-body scattering problem in the fixed center approximation: the case of attraction
• Possible Existence of ${}_{\varphi }^3$H, ${}_{\varphi }^4$H, ${}_{\varphi }^4$He, and ${}_{\varphi }^5$He Nuclei
• Narrow bound states of the DNN system