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

YANG Ze-Sen (Tse Sen Yang)

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2024年10月30日

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)

YANG Ze-Sen (Tse Sen Yang) ^,

Peking University

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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 SU₆U₅O₅O₃representation 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 SU_2^×SU₂ representation as an intermediate representation, two types of formulas are constructed for the elementary matrix elements.

References

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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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[18]	Ge Mo-lin , Duan Yi-shi . SPACE OF CONSTANT CURVATURE AND SU₂-DUAL CHARGES. Chinese Physics C, 1980, 4(2): 173-178.
[19]	Ge Mo-lin , Duan Yi-shi . ON THE GAUGE VACUUM EFFECTS IN SU₂ GAUGE THEORY. Chinese Physics C, 1980, 4(5): 539-544.
[20]	WU YONG-SHI , CHEN SHIH , TU TUNG-SHENG , GUO HAN-YING . DUAL CHARGES OF A SUBGROUP IN GAUGE THEORIES——MAGNETIC MONOPOLES OF SU₂ & SO₃ GAUGE FIELD. Chinese Physics C, 1977, 1(1): 52-64.

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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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沈阳化工大学材料科学与工程学院沈阳 110142

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

YANG Ze-Sen (Tse Sen Yang) ^,

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 SU₆U₅O₅O₃representation 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 SU_2^×SU₂ representation as an intermediate representation, two types of formulas are constructed for the elementary matrix elements.