APPROXIMATE ANGULAR MOMENTUM PROJECTION OF THE DEFORMED HARTREE-FOCK STATE FOR K=1

LIAO Ji-Zhi

Chinese Physics C> 1987, Vol. 11> Issue(5) : 682-689

APPROXIMATE ANGULAR MOMENTUM PROJECTION OF THE DEFORMED HARTREE-FOCK STATE FOR K=1

LIAO Ji-Zhi ^,

Sichuan University

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Abstract：
Using our approximate angular momentum projection method with one parameter, the projection spectra of the axially symmetric Hartree-Fock intrinsic states are studied. The approximate and the exact projection matrix elements are obtained and compared each other. The projection integrals for angular momentum J=1 to 11 are given. The energy spectra of the nuclei ⁴⁴Ti and ⁵⁰Ti are calculated, and the results coincide with the observed energy levels fairly well.

References

[1]

廖继志, 原子核物理, 7(19B5), 338.[2] 廖继志, 原子核物理, K=2形变HF态的近似角动最投影, 待发表.[3] D. H. Kong-A-Siou et al., Nucl. Phys., A19,(1972). 568.[4] J. J. Simpson et al., Phys. Rev., C12(1975), 468.[5] J. Britz et al.Proceedings of the International Conference on Nuclear Physics, Edited by J and H. J. Mang,Munich, 1973, p. 208.[6] 廖继志, 高能物理与核物理, 3(1979), 734.[7] 廖继志, 高能物理与核物理, 10(1986), 486.[8] D.E. Alburger et al., Phys. Rev., C30(1984), 1005.[9] J.Styczen et al., Nucl. Phys., A327 (1979), 295.[10] K.Lips et al., Phys. Rev., Cl(1970), 1009.

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LIAO Ji-Zhi. APPROXIMATE ANGULAR MOMENTUM PROJECTION OF THE DEFORMED HARTREE-FOCK STATE FOR K=1[J]. Chinese Physics C, 1987, 11(5): 682-689.

LIAO Ji-Zhi. APPROXIMATE ANGULAR MOMENTUM PROJECTION OF THE DEFORMED HARTREE-FOCK STATE FOR K=1[J]. Chinese Physics C, 1987, 11(5): 682-689. 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

APPROXIMATE ANGULAR MOMENTUM PROJECTION OF THE DEFORMED HARTREE-FOCK STATE FOR K=1

LIAO Ji-Zhi ^,

Corresponding author: LIAO Ji-Zhi,

Sichuan University

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1987-10-05

Abstract: Using our approximate angular momentum projection method with one parameter, the projection spectra of the axially symmetric Hartree-Fock intrinsic states are studied. The approximate and the exact projection matrix elements are obtained and compared each other. The projection integrals for angular momentum J=1 to 11 are given. The energy spectra of the nuclei ⁴⁴Ti and ⁵⁰Ti are calculated, and the results coincide with the observed energy levels fairly well.