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Sun, Y; Sun, Y (reprint author), Shanghai Jiao Tong Univ, Dept Phys & Astron, Shanghai 200240, Peoples R China.; Sun, Y (reprint author), Shanghai Jiao Tong Univ, Collaborat Innovat Ctr IFSA CICIFSA, Shanghai 200240, Peoples R China.; Sun, Y (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China.
Projection techniques to approach the nuclear many-body problem
Source PublicationPHYSICA SCRIPTA
Language英语
KeywordShell Model Angular Momentum Projection Deformed Basis
AbstractOur understanding of angular-momentum-projection goes beyond quantum-number restoration for symmetry-violated states. The angular-momentum-projection method can be viewed as an efficient way of truncating the shell-model space which is otherwise too large to handle. It defines a transformation from the intrinsic system, where dominant excitation modes in the low-energy region are identified with the concept of spontaneous symmetry breaking, to the laboratory frame with well-organized configuration states according to excitations. An energydictated, physically-guided shell-model truncation can then be carried out within the projected space and the Hamiltonian is thereby diagonalized in a compact basis. The present article reviews the theory of angular-momentum-projection applied in the nuclear many-body problem. Angular momentum projection emerges naturally if a deformed state is treated quantum-mechanically. To demonstrate how different physical problems in heavy, deformed nuclei can be efficiently described with different truncation schemes, we introduce the projected shell model and show examples of calculation in a basis with axial symmetry, a basis with triaxiality, and a basis with both quasiparticle and phonon excitations. Technical details of how to calculate the projected matrix elements and how to build a workable model with the projection techniques are given in the appendix.
2016
Volume91Issue:4Pages:43005
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1088/0031-8949/91/4/043005
Indexed BySCI
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/21707
CollectionSCI期刊论文
Corresponding AuthorSun, Y (reprint author), Shanghai Jiao Tong Univ, Dept Phys & Astron, Shanghai 200240, Peoples R China.; Sun, Y (reprint author), Shanghai Jiao Tong Univ, Collaborat Innovat Ctr IFSA CICIFSA, Shanghai 200240, Peoples R China.; Sun, Y (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Sun, Y,Sun, Y ,Sun, Y ,et al. Projection techniques to approach the nuclear many-body problem[J]. PHYSICA SCRIPTA,2016,91(4):43005.
APA Sun, Y,Sun, Y ,Sun, Y ,&Sun, Y .(2016).Projection techniques to approach the nuclear many-body problem.PHYSICA SCRIPTA,91(4),43005.
MLA Sun, Y,et al."Projection techniques to approach the nuclear many-body problem".PHYSICA SCRIPTA 91.4(2016):43005.
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