Signature of the $\Lambda (1405)$ resonance in neutron spectra from the $K^{-}+d$ reaction

Abstract

Neutron spectra from the reaction $K^{-}+d\to \pi +\Sigma +n$ were calculated in the energy range $E_{K^{-}}^{cm}=0-50MeV$ using coupled channel Faddeev equations for the description of the $\bar{K}NN-\pi \Sigma N$ three-body system. The aim was to trace the signature of the $\Lambda (1405)$ resonance in the spectra. We found, that while in the direct spectra kinematic effects mask completely the peak corresponding to the resonance, the deviation spectrum method [1] is able to eliminate kinematics and differentiate between different models of $\Lambda (1405)$. Four different phenomenological $\bar{K}N-\pi \Sigma$ interactions were used in order to study the effect of their pole positions on the neutron spectra.

arXiv commentFinal version to appear in Few Body Systems

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• One- versus two-pole $\bar{K}N-\pi \Sigma$ potential: $K^{-}d$ scattering length
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Cited by in corpus (11)

• Antikaon-nucleon interaction and Lambda(1405) in chiral SU(3) dynamics
• QCD and the Strange Baryon Spectrum
• 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
• Structure of the $\Lambda (1405)$ and the $K^{-}d\to \pi \Sigma n$ reaction
• Three-body antikaon-nucleon systems
• Are the chiral based $\bar{K}N$ potentials really energy dependent?
• Exact calculations of a quasi-bound state in the $\bar{K}\bar{K}N$ system
• Theoretical study of the Lambda(1405) resonance in Xi_b^0 -> D^0 pi Sigma decay
• Structure, formation and decay of $\bar{K}NN$ system by Faddeev-AGS calculations
• Investigation of the $\bar{K}$--${}^6$Li Interaction and the Search for the $\Lambda (1405)$ Resonance