Generator Coordinate Theory of Normalization Kernels of Cluster Systems. IV : Application of Double Gel'fand Polynomials to SU_4 Symmetry of Cluster Wave Functions
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概要
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The theory of double Gel'fand polynomial is applied to describe the irreducible representation of SU_4 group with respect to spin-isospin wave function of many-cluster systems. Utilizing an expansion formula of the determinant associated with a matrix tensor product, it is shown that generator coordinate normalization kernels classified by SU_4 symmetry are compactly represented by double Gel'fand polynomials and their expansion coefficients in a power series. Combining the explicit expressions of generator coordinate kernels thus obtained with SU_3 classification technique of spatial wave functions, we can solve the eigenvalue problem of normalization kernels for a very wide class of cluster systems described by SU_3-shell-model wave functions having a common harmonic oscillator parameter. Numerical examples are given for 3N + 3N + 3N, α+3N+n, ^<16>O+3N+N systems, where N represents a nucleon.
- 理論物理学刊行会の論文
- 1983-09-25
著者
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Horiuchi Hisashi
Department Of Physics Kyoto University
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Tang Y.c.
School Of Physics University Of Minneapolis
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Tang Y.
School Of Physics University Of Minnesota
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FUJIWARA Yoshikazu
School of Physics, University of Minnesota
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FUJIWARA Yoshikazu
Research Institute for Fandamental Physics, Kyoto University
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Fujiwara Yoshikazu
School Of Physics University Of Minnesota
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TANG Y.C.
School of Physics, University of Minnesota
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FUJIWARA Yoshikazu
Institute of Theoretical Physics, University of Regensburg : Department of Physics, Kyoto University
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