One- versus two-pole $\bar{K}N-\pi \Sigma$ potential: $K^{-}d$ scattering length

Abstract

We investigated the dependence of the $K^{-}d$ scattering length on models of $\bar{K}N$ interaction with one or two poles for $\Lambda (1405)$ resonance. The $\bar{K}NN-\pi \Sigma N$ system is described by coupled-channel Faddeev equations in AGS form. Our new two-body $\bar{K}N-\pi \Sigma$ potentials reproduce all existing experimental data on $K^{-}p$ scattering and kaonic hydrogen atom characteristics. New models of $\Sigma N-\Lambda N$ interaction were also constructed. Comparison with several approximations, usually used for scattering length calculations, was performed.

30 pages, 4 tables, 13 figures; corrected style and English, added 2 references and comments, shortened Section II and III A, more detailed discussion of the results, results unchanged

References in corpus (6)

• A New Measurement of Kaonic Hydrogen X rays
• Faddeev calculation of a $K^{-}pp$ quasi-bound state
• $\bar{K}NN$ quasi-bound state and the $\bar{K}N$ interaction: coupled-channel Faddeev calculations of the $\bar{K}NN-\pi \Sigma N$ system
• Extended-soft-core Baryon-Baryon Model II. Hyperon-Nucleon Interaction
• Kaon-nucleon scattering lengths from kaonic deuterium experiments
• Isospin mixing effects in low-energy $\bar{K}N-\pi \Sigma$ interaction

Cited by in corpus (31)

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• Chirally motivated $\bar{K}N$ amplitudes for in-medium applications
• Review of the $\mathbf{\Lambda }$(1405): A curious case of a strange-ness resonance
• Near-threshold $K^{-}d$ scattering and properties of kaonic deuterium
• Faddeev calculations of the $\bar{K}NN$ system with chirally-motivated $\bar{K}N$ interaction. II. The $K^{-}pp$ quasi-bound state
• Cross-channel constraints on resonant antikaon-nucleon scattering
• Few-body approach to structure of $\bar{K}$-nuclear quasi-bound states
• The $K^{-}d\to \pi \Sigma n$ reaction revisited
• Faddeev calculations of the $\bar{K}NN$ system with chirally-motivated $\bar{K}N$ interaction. I. Low-energy $K^{-}d$ scattering and antikaonic deuterium
• Improved Fixed Center Approximation of the Faddeev equations for the $\bar{K}NN$ system with S=0
• Faddeev-Chiral Unitary Approach to the $K^{-}d$ scattering length
• Structure of the $\Lambda (1405)$ and the $K^{-}d\to \pi \Sigma n$ reaction
• Comprehensive application of a coupled-channel complex scaling method to the KbarN-piY system
• Recoil corrections in antikaon-deuteron scattering
• Three-body antikaon-nucleon systems
• 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
• Exact calculations of a quasi-bound state in the $\bar{K}\bar{K}N$ system
• Signature of the $\Lambda (1405)$ resonance in neutron spectra from the $K^{-}+d$ reaction
• Deeply quasi-bound state in single- and double-$\bar{K}$ nuclear clusters
• Pole trajectories of the $\Lambda (1405)$ helps establish its dynamical nature
• On a quasi-bound state in the $K^{-}d$ system caused by strong interactions
• Investigation of $qqqs\bar{q}$ pentaquarks in a chiral quark model
• Structure, formation and decay of $\bar{K}NN$ system by Faddeev-AGS calculations
• Quasi-bound state in the $\bar{K}NNN$ system
• Kaon-deuteron femtoscopy from unitarized chiral interactions
• Signature of $N^{\star }$ resonance in mass spectrum of the $K\bar{K}N$ decay channels
• Light kaonic atoms: from "corrected" to "summed up" Deser formula
• $K^{-}d\to \pi \Sigma n$ reactions and structure of the $\Lambda (1405)$
• Trace of $\Lambda (1405)$ resonance in low energy $K^{-}+{}^3\mathrm{He}\to ({\pi }^0{\Sigma }^0)+d$ reaction
• Structure of $\Lambda$(1405) resonance and $\gamma p\to K^{+}+(\pi \Sigma {)}^0$ reaction