The $\bar{K}NN$ system with chiral dynamics

Abstract

We have performed a calculation of the scattering amplitude for the three body system $\bar{K}NN$ assuming $\bar{K}$ scattering against a $NN$ cluster, using the Fixed Center approximation to the Faddeev equations. The $\bar{K}N$ amplitudes, which we take from chiral unitary dynamics, govern the reaction and we find a $\bar{K}NN$ amplitude that peaks around 40 MeV below the $\bar{K}NN$ threshold, with a width in $|T{|}^2$ of the order of 50 MeV for spin 0 and has another peak around 27 MeV with similar width for spin 1. The results are in line with those obtained using different methods but implementing chiral dynamics. The simplicity of the approach allows one to see the important ingredients responsible for the results. In particular we show the effects from the reduction of the size of the $NN$ cluster due to the interaction with the $\bar{K}$ and those from the explicit considiration of the $\pi \Sigma N$ channel in the three body equations.

21 pages, 5 figures

References in corpus (17)

• 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
• $K^{-}pp$ system with chiral SU(3) effective interaction
• X(2175) as a resonant state of the $\varphi K\bar{K}$ system
• On the Strangeness -1 S-wave Meson-Baryon Scattering
• $\bar{K}$ nuclear bound states in a dynamical model
• Resonance energy of the barKNN-piYN system
• Three body resonances in two meson-one baryon systems
• Kaon-nucleon scattering lengths from kaonic deuterium experiments
• Kaonic production of Lambda(1405) off deuteron target in chiral dynamics
• Couplings in coupled channels versus wave functions in the case of resonances: application to the two $\Lambda (1405)$ states
• The $N^{\ast }(1710)$ as a resonance in the $\pi \pi N$ system
• Kaon induced Lambda(1405) production on a deuteron target at DAFNE