Strange dibaryon resonance in the anti-KNN--piYN system

Abstract

Three-body resonances in the \bar{K}NN system have been studied within a framework of the \bar{K}NN-πYN coupled hannel Faddeev equation. By solving the three-body equation the energy dependence of the resonant \bar{K}N amplitude is fully taken into account. The S-matrix pole has been investigated from the eigenvalue of the kernel with the analytic continuation of the scattering amplitude on the unphysical Riemann sheet. The \barKN interaction is constructed from the leading order term of the chiral Lagrangian using relativistic kinematics. The Λ(1405) resonance is dynamically generated in this model, where the \bar{K}N interaction parameters are fitted to the data of scattering length. As a result we find a three-body resonance of the strange dibaryon system with binding energy, B~79 MeV, and width, Γ~74 MeV. The energy of the three-body resonance is found to be sensitive to the model of the I=0 \barKN interaction.

22 pages, 10 figures; added extended KNN-piYN calculation, Appendix

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• Faddeev calculation of a $K^{-}pp$ quasi-bound state
• K^- p scattering length from scattering experiments
• $\bar{K}$ nuclear bound states in a dynamical model
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