Generator Coordinate Theory of Normalization Kernels of Cluster Systems. III : Application of Double Gel'fand Polynomials to General Cluster Systems

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概要

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• SU_3-scalar properties of normalization kernels of many-cluster systems are investigated by transforming the kernels into the generator coordinate space. We expand the kernel by the double Gel'fand polynomials which embody the canonical SU_3-coupling scheme of the harmonic oscillator wave functions in the complex generator coordinate space. By this procedure we can easily calculate the matrix elements of the antisymmetrization operator with respect to the SU_3-coupled basis states of the total system. Cluster systems involving non-SU_3-scalar clusters are also treated by constructing the SU_3 coherent states of the shell-model wave functions, which is another application of the double Gel'fand polynomials. Numerical examples are given with respect to 4α, 2α+^<20>Ne, ^8Be+^8Be and ^<24>Mg+α systems.

• 理論物理学刊行会の論文
• 1981-06-25

著者

• HORIUCHI Hisashi

  Department of Physics, Kyoto University

• Horiuchi Hisashi

  Department Of Physics Kyoto University

• FUJIWARA Yoshikazu

  Cyclotron Laboratory, Department of Physics The University of Manitoba

• Fujiwara Yoshikazu

  Cyclotron Laboratory Department Of Physics The University Of Manitoba : Research Institute For Funda

• FUJIWARA Yoshikazu

  Research Institute for Fandamental Physics, Kyoto University

• FUJIWARA Yoshikazu

  Institute of Theoretical Physics, University of Regensburg : Department of Physics, Kyoto University

• FUJIWARA Yoshikazu

  Cyclotron Laboratory, Department of Physics The University of Manitoba : Research Institute for Fundamental Physics, Kyoto University

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