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Chinese Physics C> 1983, Vol. 7> Issue(4) : 489-499 

THE SU2×SU2 BASIS AND THE PHYSICAL BASES FOR THE STATE VECTORS OF d-BOSON SYSTEM AND THE TRACELESS BOSON OPERATORS(Ⅲ)

  •  Peking University

  • The methods and results of papers (Ⅰ) and (Ⅱ) are applied to the interacting boson model (IBM) of nuclei. With the use of the SU6U5O5O3 representation the matrix elements of the phenomenological IBM Hamiltonian are expressed in terms of some "elementary matrix elements" of d-dosons. In accordance with the existing physical bases for d-boson systems and taking the SU2×SU2 representation as an intermediate representation, two types of formulas are constructed for the elementary matrix elements.
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    [1] 杨泽森, 高能物理与核物理, 本文中称为(1),6 (1982),630.[2] 杨泽森, 高能物理与核物理, 本文中称为(II),7(1983),245.[3] E. Chacon, M. Moshinsky and R. T. Sharp, J. Math. Phys., 17(1976). 668.[4] E. T. Hecht, Nucl. Phys,, 63(1965), 177.[5] E. Chason and M. Moshinsky, J. Math. Phys., 18(1977), 870.[6] S. Szpikowski and A. Gozdz, Nucl. Phys., A340(1980), 76.[7] 孙洪洲, 高能物理与核物理, 4(1980),478.

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YANG Ze-Sen (Tse Sen Yang). THE SU2×SU2 BASIS AND THE PHYSICAL BASES FOR THE STATE VECTORS OF d-BOSON SYSTEM AND THE TRACELESS BOSON OPERATORS(Ⅲ)[J]. Chinese Physics C, 1983, 7(4): 489-499.
YANG Ze-Sen (Tse Sen Yang). THE SU2×SU2 BASIS AND THE PHYSICAL BASES FOR THE STATE VECTORS OF d-BOSON SYSTEM AND THE TRACELESS BOSON OPERATORS(Ⅲ)[J]. Chinese Physics C, 1983, 7(4): 489-499. shu
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Received: 1900-01-01
Revised: 1900-01-01
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THE SU2×SU2 BASIS AND THE PHYSICAL BASES FOR THE STATE VECTORS OF d-BOSON SYSTEM AND THE TRACELESS BOSON OPERATORS(Ⅲ)

    Corresponding author: YANG Ze-Sen (Tse Sen Yang),
  • Peking University
  • Received Date: 1900-01-01
  • Accepted Date: 1900-01-01
  • Available Online: 1983-08-05

Abstract: The methods and results of papers (Ⅰ) and (Ⅱ) are applied to the interacting boson model (IBM) of nuclei. With the use of the SU6U5O5O3 representation the matrix elements of the phenomenological IBM Hamiltonian are expressed in terms of some "elementary matrix elements" of d-dosons. In accordance with the existing physical bases for d-boson systems and taking the SU2×SU2 representation as an intermediate representation, two types of formulas are constructed for the elementary matrix elements.

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