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建立了SO(8)同位旋标量、同位旋矢量及总的配对基与微观壳模型坐标空间部分的Elliott SU(3)基之间的对应关系。从该代数间的互补关系导出了在壳模型的粒子数守恒代数U(4?)中所包含的具有同位旋T及自旋S的Wigner超多重态(不可约)表示。其重要性在于,该结果能用于研究对相互作用和四极-四极相互作用在核谱中的竞争效应并揭示其配对基中的SU(3)组份。虽然仅展示了该理论对ds壳的计算,其方法也适用于研究多壳的情形。
The co-rotating IS (8) isospin, isospin vector and the corresponding relation between the Elliott SU (3) basis of the coordinate space and the coordinate space of the microscopic shell model are established. The Wigner hypersensitive (irreducible) representation with isospin T and spin S contained in the conserved particle number U (4?) Of the shell model is derived from the complementary relationship between the algebras. It is important that this result be used to study the competitive effect on interactions and quadrupole-quadrupole interactions in the nucleus and to reveal the SU (3) component in its pairing. Although only the calculation of ds shell by this theory is shown, the method is also applicable to the study of shell case.