CONTINUOUS VARIABLE REPRESENTATION OF ELLIOTT <EM>SU</EM>(3) MODEL

WANG Shun-Jin; CAO Jian-Min; XU Gong-Ou

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2024年10月30日

Chinese Physics C> 1987, Vol. 11> Issue(1) : 111-119

CONTINUOUS VARIABLE REPRESENTATION OF ELLIOTT SU(3) MODEL

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Abstract：
The continuous variable representation and the geometrical interpretation of the Elliott SU(3) model are given by virtue of the generator coordinate method. It is pointed out that the carrier subspace of collective states of the dynamical group SU(3) in the Elliott model is spanned by the β and γ vibration states as well as the rotation states.

References

[1]

A. Bohr, Mat. Fys. Medd. Dan. Vid. Selrk, 26(1952), No. 14;A. Bohr and B. R. Mottelson, Mat. Eys. Medd. Dan. Yid. Selsk, 27(1953), No. 16.[2] J. P. Elliott, Proc. Roy. Soc., Londom, A245(1958), 128, 562.[3] M. Harvey, in Advances in Nuclear Physics, Vol. 1, (M. Baranger and E. Vogt, eds.),Plenum PressNew York (1968).[4] 徐躬祸, 中国科学, No. 6(1974), P567;徐躬辐, Progr part. Nacl. Phys., 9(1983), 573 徐躬藕, Nacl.Phys., A421(1984), 275c.[5] 陈金全, 群表示论的新途径, 上海科技出版社, 1984;J.Q. Chen, F. Wang and M. J. Gao, J. Phys A. Math. Gen., 16(1983), 1347.[6] 徐躬藕, 王顺金, 杨亚天, 李福利, 生成坐标方法与原子核集体运动:集体自由度的选取高能物理与核物理, (待发表).[7] 徐躬祸, 高能物理与核物理, 8(1984), p. 207.[8] 本文中(15), (16)两式可经直接计算证明:因保持原来的厄米共辘关系, 故(15), (16)式成立(见附录1)一般证明见徐躬藕, 王顺金, 杨亚天的总结性文章:生成坐标方法与原子核集体运动, 《物理学进展》, (待发表).[9] B. G. Wybourne, Classical Groups for Physicists, John Wiley Sons, New York, 1974.

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WANG Shun-Jin, CAO Jian-Min and XU Gong-Ou. CONTINUOUS VARIABLE REPRESENTATION OF ELLIOTT SU(3) MODEL[J]. Chinese Physics C, 1987, 11(1): 111-119.

WANG Shun-Jin, CAO Jian-Min and XU Gong-Ou. CONTINUOUS VARIABLE REPRESENTATION OF ELLIOTT SU(3) MODEL[J]. Chinese Physics C, 1987, 11(1): 111-119. 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

CONTINUOUS VARIABLE REPRESENTATION OF ELLIOTT SU(3) MODEL

Corresponding author: WANG Shun-Jin,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1987-02-05

Abstract: The continuous variable representation and the geometrical interpretation of the Elliott SU(3) model are given by virtue of the generator coordinate method. It is pointed out that the carrier subspace of collective states of the dynamical group SU(3) in the Elliott model is spanned by the β and γ vibration states as well as the rotation states.