THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅷ) THE CHOICE AND REPRESENTATION OF COLLECTIVE DEGREES OF FREEDOM

XU Gong-Ou; WANG Shun-Jin; YANG Ya-Tian; LI Fu-Li

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1987, Vol. 11> Issue(3) : 384-391

THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅷ) THE CHOICE AND REPRESENTATION OF COLLECTIVE DEGREES OF FREEDOM

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Abstract：
The choice and representation of degrees of freedom of collective motions are thoroughly discussed. Starting from the dynamical group of a shematic model, it is pointed out that the number of independent collective degrees of freedom is uniquely determined, although there exist different continuous variable or boson representations. If more collective degrees of freedom were involved, there must be accompanied conditions.

References

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徐躬藕, 中国科学, 6(1974), 567.[2] 徐躬藕, 杨亚天, 王顺金, 中国科学, 4(1981), 427.[3] 徐躬棍, 高能物理与核物理, S(1991),358.[4] 徐躬棍, 高能物理与核物理, 7(1983), 510.[5] 徐躬棍, 高能物理与核物理, 8(1984), 207.[6] Xu Gong-ou(徐躬辊), Nucl. Phys., A421 (1984), 275c.[7] R. Gilmore and D. H. Feng, Progress in Particle and Nuclear Physics, 9(1983), 479.[8] 李福利, 兰州大学硕士学位论文, 1984.[9] 杨亚天, 杨溢, 徐躬辐, 高能物理与核物理, k-能级Lipkia模型的玻色子表示, 待发表.

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[6]	Shi Zongren , Wan Shuying . Negative Parity States of Collective Motion in Actinide Nuclei. Chinese Physics C, 1995, 19(5): 438-446.
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[19]	XU GONG-OU , WANG SHUN-JIN . THE CENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS——V. THE RELATIVE TRANSLATIONAL MOTION IN HEAVY-ION COLLIONS. Chinese Physics C, 1982, 6(2): 243-246.
[20]	Xu GoNG-ou . THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅳ) TDGCM VERSUS ATDHF. Chinese Physics C, 1981, 5(3): 358-363.

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XU Gong-Ou, WANG Shun-Jin, YANG Ya-Tian and LI Fu-Li. THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅷ) THE CHOICE AND REPRESENTATION OF COLLECTIVE DEGREES OF FREEDOM[J]. Chinese Physics C, 1987, 11(3): 384-391.

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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 GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅷ) THE CHOICE AND REPRESENTATION OF COLLECTIVE DEGREES OF FREEDOM

Corresponding author: XU Gong-Ou,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1987-06-05

Abstract: The choice and representation of degrees of freedom of collective motions are thoroughly discussed. Starting from the dynamical group of a shematic model, it is pointed out that the number of independent collective degrees of freedom is uniquely determined, although there exist different continuous variable or boson representations. If more collective degrees of freedom were involved, there must be accompanied conditions.