Projection techniques to approach the nuclear many-body problem

doi:http://dx.doi.org/10.1088/0031-8949/91/4/043005

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	Projection techniques to approach the nuclear many-body problem
	Sun, Y 1,2
刊名	PHYSICA SCRIPTA
	2016
卷号	91 期号:4 页码:43005
关键词	shell model ANGULAR-MOMENTUM PROJECTION angular momentum projection HIGH-SPIN STATES deformed basis RARE-EARTH NUCLEI QUANTUM NUMBER PROJECTION SHELL-MODEL CALCULATIONS PLUS-QUADRUPOLE MODEL ODD-MASS NUCLEI MATRIX-ELEMENTS COLLECTIVE MOTION SHAPE COEXISTENCE
DOI	http://dx.doi.org/10.1088/0031-8949/91/4/043005
英文摘要	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.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/23267]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Shanghai Jiao Tong Univ, Collaborat Innovat Ctr IFSA CICIFSA, Shanghai 200240, Peoples R China 2.Shanghai Jiao Tong Univ, Dept Phys & Astron, Shanghai 200240, Peoples R China 3.Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Sun, Y. Projection techniques to approach the nuclear many-body problem[J]. PHYSICA SCRIPTA,2016,91(4):43005.
APA	Sun, Y.(2016).Projection techniques to approach the nuclear many-body problem.PHYSICA SCRIPTA,91(4),43005.
MLA	Sun, Y."Projection techniques to approach the nuclear many-body problem".PHYSICA SCRIPTA 91.4(2016):43005.