Low energy Kbar N interactions and Faddeev calculation of the K- d scattering length in isospin and particle bases

Abstract

$\Kbar N$ interactions are investigated {\it via} an effective non-linear chiral meson-baryon Lagrangian. The adjustable parameters are determined by a fitting procedure on the $K^{-}p$ threshold branching ratios and total cross-section data for $p_K^{lab}\le$ 250 MeV/c. We produce predictions for the $\Sigma \pi$ mass spectrum, and scattering lenghts $a_{K^{-}p}$, $a_n(K^{-}n\to K^{-}n)$, $a_n0(\Kbar0 n \to \Kbar0 n)$, and $a_{ex}(K^-p \to \Kbar0 n)$. The $\Kbar N$ amplitudes thus obtained, as well as those for other two-body channels ($\pi N$, $NN$, and $YN$) are used as input to predict the scattering length $A_{K^{-}d}$, for which we have devised a relativistic version of the three-body Faddeev equations. Results for all two- and three-body coupled channels are reported both in isospin and particle bases. All available $\Kbar N$ data are well reproduced and our best results for the $K^{-}p$ and $K^{-}d$ scattering lenghts are $a_{K^{-}p}=(-0.90+i0.87)fm$ and $A_{K^{-}d}=(-1.80+i1.55)fm$.

arXiv comment31 pages, submitted to Phys. Rev. C

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Cited by in corpus (21)

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• $\bar{K}NN$ quasi-bound state and the $\bar{K}N$ interaction: coupled-channel Faddeev calculations of the $\bar{K}NN-\pi \Sigma N$ system
• Chiral dynamics of kaon-nucleon interactions, revisited
• Kaon-nucleon scattering lengths from kaonic deuterium experiments
• Review of the $\mathbf{\Lambda }$(1405): A curious case of a strange-ness resonance
• Near-threshold $K^{-}d$ scattering and properties of kaonic deuterium
• Kaon-nucleon scattering lengths from kaonic deuterium experiments revisited
• $S=-1$ meson-baryon interaction and the role of isospin filtering processes
• On the scattering length of the K^- d system
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• The role of nucleon recoil in low-energy antikaon-deuteron scattering
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• Recoil corrections in antikaon-deuteron scattering
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• Determination of the \bar K^0 d scattering length from the reaction pp \to d \bar K^0 K^+
• Extraction of the KK-bar isovector scattering length from pp -> d K^+ K-bar^0 data near threshold
• Kaon-deuteron femtoscopy from unitarized chiral interactions
• Kaon-Nucleon scattering lengths from the experiments on kaonic hydrogen and kaonic deuterium