Correlations of the SO(8)–Pairing and SU(3)–Quadrupole Bases in the Algebraic Shell Model

	Correlations of the SO(8)–Pairing and SU(3)–Quadrupole Bases in the Algebraic Shell Model
刊名	Nuclear Physics Review
	2017
卷号	34
关键词	代数模型对相互作用四极-四极相互作用壳模型自旋-同位旋空间
ISSN号	1007-4627
其他题名	Correlations of the SO(8)–Pairing and SU(3)–Quadrupole Bases in the Algebraic Shell Model
英文摘要	We establish a correspondence between the SO(8) isoscalar, isovector and total pairing bases and the Elliott's SU(3) basis in the algebraic structure of the spatial part of the microscopic shell model. It is derived from the complementarity of these algebras to the same T, S, (S,T) irreducible representations (irreps) of the Wigners supermultiplets, contained in the shell-model number-conserving algebra U(4Ω). This important result allows for the evaluation of the content of SU(3) irreps into the different types of pairing bases which leads to an investigation of the complementarity and competitive effects of pairing and the quadrupole-quadrupole interactions on the energy spectra of the nuclear systems. The theory is valid for any shell and for a number of shells as well, but we illustrate it with the results for a single ds– shell.
语种	英语
CSCD记录号	CSCD:5950164
内容类型	期刊论文
源URL	[http://ir.hfcas.ac.cn:8080/handle/334002/65103]
专题	中国科学院合肥物质科学研究院
推荐引用方式 GB/T 7714	. Correlations of the SO(8)–Pairing and SU(3)–Quadrupole Bases in the Algebraic Shell Model[J]. Nuclear Physics Review,2017,34.
APA	(2017).Correlations of the SO(8)–Pairing and SU(3)–Quadrupole Bases in the Algebraic Shell Model.Nuclear Physics Review,34.
MLA	"Correlations of the SO(8)–Pairing and SU(3)–Quadrupole Bases in the Algebraic Shell Model".Nuclear Physics Review 34(2017).