Chinese Physics C > 1984, Vol. 8 > Issue(5): 602-610

THE SOLUTIONS FOR j³SYSTEM FROM SHELL MODEL AND GENERATOR COORDINATE METHOD

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Abstract：
The solutions for the problem of 3 particles moving in a single-j shell are given from the shell model and the generator coordiuate method (GCM) respectively. After taking all possible contractions of fermions as well as bosons, GCM can produce the same exact solution as the shell model. So it is quite reasonable to expect that GCM is an effective theory in treating coupling between boson and fermion degrees of freedom in nuclei microscopically.

References

[1]

徐躬耦, 中国科学, 1974, 6: 567, [2] 徐躬耦, 杨亚天, 王顺金, 中国科学, 1981,4:428.[3] Xu Gong-ou and Wang Shun-jin, Nucl. Phys., A380 (1982), 529.[4] Broglia, R. A. et al., Nucl. Phys., A348 (1980), 237.[5] Vitturi, A. Interacting Bose-Fermi System in Nuclei; Proc. of the Seminar. Erice, Sicily, June 12-19, 1980.[6] A de-shalit and I. Talmi, Nuclear Shell Theory; Academic, New York, 1963, P. 270.[7] Fu Deji, Xia Keding, Nuclear Physics A (in Press).

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FU De-Ji, XIA Ke-Ding and PAN Wei-Ping. THE SOLUTIONS FOR j ³SYSTEM FROM SHELL MODEL AND GENERATOR COORDINATE METHOD[J]. Chinese Physics C, 1984, 8(5): 602-610.

FU De-Ji, XIA Ke-Ding and PAN Wei-Ping. THE SOLUTIONS FOR j ³SYSTEM FROM SHELL MODEL AND GENERATOR COORDINATE METHOD[J]. Chinese Physics C, 1984, 8(5): 602-610. 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 SOLUTIONS FOR j³SYSTEM FROM SHELL MODEL AND GENERATOR COORDINATE METHOD

Corresponding author:FU De-Ji,

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1984-10-05

Abstract:The solutions for the problem of 3 particles moving in a single-j shell are given from the shell model and the generator coordiuate method (GCM) respectively. After taking all possible contractions of fermions as well as bosons, GCM can produce the same exact solution as the shell model. So it is quite reasonable to expect that GCM is an effective theory in treating coupling between boson and fermion degrees of freedom in nuclei microscopically.