Loosely bound three-body nuclear systems in the J-matrix approach
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
11
Li and
6
He 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
11
Li and
6
He 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
6
He nucleus is examined.