Investigation of the $\bar{K}$--${}^6$Li Interaction and the Search for the $\Lambda (1405)$ Resonance

Abstract

We investigate the interaction of an antikaon ($K^{-}$) with the ${}^6$Li nucleus, described as an $\alpha +d$ cluster system. The study aims to explore the formation of the $\Lambda (1405)$ resonance through the $K^{-}d$ subsystem in the presence of a spectator $\alpha$ particle. In the absence of dedicated experimental data for this reaction, particular attention is given to providing quantitative predictions for the manifestation of the $\Lambda (1405)$ structure in low-energy $\bar{K}N$ dynamics within a light nuclear environment. Employing different models of the $\bar{K}N-\pi \Sigma$ interaction, we calculate the $\pi \Sigma n$ invariant-mass spectra and the $\alpha$-particle missing-mass spectra, thereby identifying robust features of the $\Lambda (1405)$ signal and offering guidance for future experimental investigations.

4 figures, Accepted for publication in PRC

References in corpus (15)

• Effective Kbar N interaction based on chiral SU(3) dynamics
• Faddeev calculation of a $K^{-}pp$ quasi-bound state
• Strange dibaryon resonance in the anti-KNN--piYN system
• $\bar{K}NN$ quasi-bound state and the $\bar{K}N$ interaction: coupled-channel Faddeev calculations of the $\bar{K}NN-\pi \Sigma N$ system
• Constraints on the chiral unitary $\bar{K}N$ amplitude from $\pi \Sigma K^{+}$ photoproduction data
• Measurement of the Sigma pi photoproduction line shapes near the Lambda(1405)
• 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
• The Physics of DAFNE and KLOE
• Pole position of $\Lambda (1405)$ measured in $d(K^{-},n)\pi \Sigma$ reactions
• Three- and four-body kaonic nuclear states: Binding energies and widths
• Signature of the $\Lambda (1405)$ resonance in neutron spectra from the $K^{-}+d$ reaction
• Quasi-bound state in the $\bar{K}NNN$ system
• 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