Strange dibaryon resonance in the anti-KNN--piYN system
Abstract
Three-body resonances in the KNN system have been studied within a framework of the KNN-π YN coupled hannel Faddeev equation. By solving the three-body equation the energy dependence of the resonant KN 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 interaction is constructed from the leading order term of the chiral Lagrangian using relativistic kinematics. The (1405) resonance is dynamically generated in this model, where the KN 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, ~74 MeV. The energy of the three-body resonance is found to be sensitive to the model of the I=0 interaction.