Trace of $\Lambda (1405)$ resonance in low energy $K^{-}+{}^3\mathrm{He}\to ({\pi }^0{\Sigma }^0)+d$ reaction

Abstract

In present work, we investigated $K^{-}+{}^3\mathrm{He}$ reaction at low energies. The coupled-channel Faddeev AGS equations were solved for $\bar{K}Nd-\pi \Sigma d$ three-body system in momentum representation to extract the scattering amplitudes. To trace the signature of the $\Lambda$(1405) resonance in the $\pi \Sigma$ invariant mass, the deuteron energy spectrum for $K^{-}+{}^3\mathrm{He}\to \pi \Sigma d$ reaction was obtained. Different types of $\bar{K}N-\pi \Sigma$ potentials based on phenomenological and chiral SU(3) approaches were used. As a remarkable result of this investigation, it was found that the deuteron energy spectrum, reflecting the $\Lambda$(1405) mass distribution and width, depends quite sensitively on the $\bar{K}N-\pi \Sigma$ model of interaction. Hence accurate measurements of the $\pi \Sigma$ mass distribution have the potential to discriminate between possible mechanisms at work in the formation of the $\Lambda$(1405).

9 pages, 5 figures

References in corpus (18)

• 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
• The basic K nuclear cluster K- pp and its enhanced formation in the p + p -> K+ + X reaction
• $K^{-}pp$ system with chiral SU(3) effective interaction
• Constraints on the chiral unitary $\bar{K}N$ amplitude from $\pi \Sigma K^{+}$ photoproduction data
• Energy dependence of barKN interactions and resonance pole of strange dibaryons
• Photoproduction of Lambda(1405) and Sigma^{0}(1385) on the proton at E_γ= 1.5-2.4 GeV
• Resonance energy of the barKNN-piYN system
• Kaonic production of Lambda(1405) off deuteron target in chiral dynamics
• 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
• Deeply quasi-bound state in single- and double-$\bar{K}$ nuclear clusters
• Structure, formation and decay of $\bar{K}NN$ system by Faddeev-AGS calculations
• Signature of $N^{\star }$ resonance in mass spectrum of the $K\bar{K}N$ decay channels

Cited by in corpus (2)

• Structure of $\Lambda$(1405) resonance and $\gamma p\to K^{+}+(\pi \Sigma {)}^0$ reaction
• Investigation of the $\bar{K}$--${}^6$Li Interaction and the Search for the $\Lambda (1405)$ Resonance