Loosely bound three-body nuclear systems in the J-matrix approach

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 \({\rm {^9Li}}+n+n\) and \(\alpha+n+n\). The \(J\)-matrix formalism is used no...

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Bibliographic Details
Published in:arXiv.org 2003-12
Main Authors: Lurie, Yu A, Shirokov, A M
Format: Article
Language:English
Subjects:
Formalism
Ground state
Phase transitions
Wave functions
Online Access:Get full text
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Summary: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 \({\rm {^9Li}}+n+n\) and \(\alpha+n+n\). 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 \(n{-}\alpha\) interaction on the properties of the \(^6\)He nucleus is examined.
ISSN:2331-8422
DOI:10.48550/arxiv.0312028