## Abstract

We review our papers devoted to the studies of three-body loosely-bound nuclear systems within the J-matrix approach. In particular, we discuss the extension of the oscillator-basis J-matrix formalism on the case of true few-body scattering. The formalism is applied to loosely-bound ^{11}Li and ^{6}He nuclei treated as three-body systems ^{11}Li= ^{9} Li+n+n and ^{6}He=α+n+n. The J-matrix formalism is used not only for the calculation of the continuum spectrum wave functions of ^{11}Li and ^{6}He nuclei excited in nuclear reactions and decaying via three-body channels ^{11} Li→^{9}Li+n+n and ^{6}He→α+n+n, 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 J-matrix formalism is also used to derive a phase equivalent transformation of two-body interactions. The effect of the phase equivalent transformation on the properties of the ^{6}He nucleus is examined.

Original language | English |
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Title of host publication | The J-Matrix Method |

Subtitle of host publication | Developments and Applications |

Publisher | Springer Netherlands |

Pages | 183-217 |

Number of pages | 35 |

ISBN (Print) | 9781402060724 |

DOIs | |

State | Published - 2008 |