J-Matrix Approach to Loosely-Bound Three-Body Nuclear Systems

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.

Prediction for a Four-Neutron Resonance

“…Note, all possible HH are retained in the NCSM basis. The accuracy of this approximation was confirmed in studies of democratic decays in cluster models [37][38][39][40].…”