Abstract
We discuss the extension of the oscillator-basis J-matrix formalism on the case of true A-body scattering. The formalism is applied to loosely bound 11Li and 6He nuclei within three-body cluster models 9 Li+n+n and α+ n+ n. The J-matrix formalism is used not only for the calculation of the three-body continuum spectrum wave functions but also for the calculation of the S-matrix poles associated with the 11Li and 6He ground states to improve the description of the binding energies and ground state properties. The effect of the phase equivalent transformation of the n– α interaction on the properties of the 6He nucleus is examined.
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