Three-Cluster Equation Using the Two-Cluster RGM Kernel

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Abstract

We propose a new type of three-cluster equation which uses two-cluster resonating-group-method (RGM) kernels. In this equation, the orthogonality of the total wave function to two-cluster Pauli-forbidden states is essential to eliminate redundant components admixed in the three-cluster systems. The explicit energy dependence inherent in the exchange RGM kernel is self-consistently determined. For bound-state problems, this equation is straight-forwardly transformed into the Faddeev equation, which uses a modified singularity-free T-matrix constructed from the two-cluster RGM kernel. The approximation of the present three-cluster formalism can be examined with a more complete calculation using the three-cluster RGM. As a simple example, we discuss three di-neutron (3d') and 3α systems in the harmonic-oscillator variational calculation. The result of the Faddeev calculation is also presented for the 3d' system.

Journal

  • Progress of Theoretical Physics

    Progress of Theoretical Physics 107(4), 745-757, 2002-04-25

    Published for the Research Institute for Fundamental Physics by Physical Society of Japan

References:  22

Codes

  • NII Article ID (NAID)
    110001207588
  • NII NACSIS-CAT ID (NCID)
    AA00791455
  • Text Lang
    ENG
  • Article Type
    ART
  • ISSN
    0033068X
  • NDL Article ID
    6149421
  • NDL Source Classification
    ZM35(科学技術--物理学)
  • NDL Call No.
    Z53-A468
  • Data Source
    CJP  NDL  NII-ELS 
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