THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅶ) THE PRESERVATION OF SYMMETRY PRORERTIES

XU Gong-Ou

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2024年10月30日

Chinese Physics C> 1984, Vol. 8> Issue(2) : 207-214

THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅶ) THE PRESERVATION OF SYMMETRY PRORERTIES

XU Gong-Ou ^,

Lanzhou University

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Abstract：
In order to preserve all the symmetry properties for the effective collective hamiltonian obtained with the generator coordinate method, it is necessary for the trial wave function to have proper transformation properties. The generator coordinates should then transform in the same way as the represented collective operators respectively. And the mass-centre motion should be independent with respect to the internal motion in conformity with the invariance of the nuclear hamiltonian with respect to space rotation and Galilean transformation.

References

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(a)徐躬祸, 中国科学, No, 6 (1974), p, 567.(b)徐躬耗, 杨亚天, 王顺金, 中国科学, No. 4(1981), p, 427.(c)徐躬棍, 高能物理与核物理, 5(1981), 358.(d)徐躬棍, 高能物理与核物理, 7(1983), 510,[2] R. E. Peierls and D. J. Thouless, Nucl. Phys., 38(1962), 154.[3] P. Ring and P. Schuck, The Nuclear Many-Body Problem, Springer-Verlag;(1980)一Chapter 10.[4] F. Villars. Nucl. Phys., A285(1977), 269.

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XU Gong-Ou. THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅶ) THE PRESERVATION OF SYMMETRY PRORERTIES[J]. Chinese Physics C, 1984, 8(2): 207-214.

XU Gong-Ou. THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅶ) THE PRESERVATION OF SYMMETRY PRORERTIES[J]. Chinese Physics C, 1984, 8(2): 207-214. 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 GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅶ) THE PRESERVATION OF SYMMETRY PRORERTIES

XU Gong-Ou ^,

Corresponding author: XU Gong-Ou,

Lanzhou University

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1984-04-05

Abstract: In order to preserve all the symmetry properties for the effective collective hamiltonian obtained with the generator coordinate method, it is necessary for the trial wave function to have proper transformation properties. The generator coordinates should then transform in the same way as the represented collective operators respectively. And the mass-centre motion should be independent with respect to the internal motion in conformity with the invariance of the nuclear hamiltonian with respect to space rotation and Galilean transformation.