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Projection techniques to approach the nuclear many-body problem
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.
2016
发表期刊PHYSICA SCRIPTA
卷号91期号:4页码:43005
文章类型Editorial Material
摘要Our 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.
关键词Shell Model Angular Momentum Projection Deformed Basis
学科领域Physics
DOIhttp://dx.doi.org/10.1088/0031-8949/91/4/043005
关键词[WOS]ANGULAR-MOMENTUM PROJECTION ; HIGH-SPIN STATES ; RARE-EARTH NUCLEI ; QUANTUM NUMBER PROJECTION ; SHELL-MODEL CALCULATIONS ; PLUS-QUADRUPOLE MODEL ; ODD-MASS NUCLEI ; MATRIX-ELEMENTS ; COLLECTIVE MOTION ; SHAPE COEXISTENCE
收录类别SCI
语种英语
WOS类目Physics, Multidisciplinary
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/21707
专题理论物理所SCI论文
通讯作者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.
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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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