Abstract
The recent advances in Hyperspherical Harmonics method to investigate Borromean (having no binary bound subsystems) three-body systems are discussed. The spatial and energy-momenta correlations in the three-body continuum revealed the physical nature and the unique structure for true three-body resonances, and for the case of a binary resonance in one of the subsystems. The correlation method has been applied to the low-lying resonances and the dipole soft mode in two-neutron halo nucleus 6He, having only α+n+n continuum in the excitation energy range < 13 MeV.
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