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

2003/12/07 by Yu. A. Lurie, Yuri Lurie, A. M. Shirokov · 2 citations
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Atomic physics #Bound state #Few-body systems #Formalism (music) #Ground state #Many-body problem #Nuclear physics research studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #R-matrix #Scattering #Wave function #nucl-th

paper · pdf · doi:10.1016/j.aop.2004.02.002

published as Annals Phys.312:284-318,2004 · 41 pages, 16 figures

arxiv created 2003/12/07 · openalex publication_date 2004/04/14 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 \rm ⁹Li+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.

Citations

• P-Matrix and J-Matrix Approaches: Coulomb Asymptotics in the Harmonic Oscillator Representation of Scattering Theory
• Properties of12Cin theAb InitioNuclear Shell Model
• Supersymmetry and Quantum Mechanics

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