原子核的赝自旋对称性近似

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基于相对论平均场理论 ,讨论了Dirac方程中严格的赝自旋对称性 ,以及实际原子核中的近似赝自旋对称性 .在严格的赝自旋对称性下 ,除赝自旋单态外 ,所有的态都有简并的赝自旋伙伴态 ,而且赝自旋双重态的径向量子数相同 .以正常核2 0 8Pb和奇特核2 64Pb为例 ,分析了赝离心势和赝自旋 -轨道耦合势的贡献 ,发现对于赝自旋单态 ,赝离心势恒为零 ;对赝自旋双重态 ,赝自旋 -轨道耦合势的贡献很小 ,赝自旋对称性近似满足 ;但对于闯入态 ,相对于赝离心势 ,赝自旋 -轨道耦合势的贡献很大 ,赝自旋对称性被完全破坏 ,也即闯入态不具有赝自旋伙伴态的可能原因 Based on the theory of relativistic mean field, we discuss the strict pseudo-spin symmetry in the Dirac equation and the approximate pseudo-spin symmetry in the actual nuclei. Under the strict pseudo-spin symmetry, all States have degenerate pseudospin partner states, and the quasi- spin doublet states have the same radial quantum numbers.The normal nuclei 208Pb and odd nuclei 264Pb are taken as an example to analyze the pseudoclinic potential and the pseudo-spin- The results show that for pseudospark singlet, the pseudocoevibration constant is zero, the contribution to pseudospin dual state and the pseudospin-orbit coupling potential is small, and the pseudospin symmetry is approximately satisfied. However, Intruding state, relative to the pseudo-centrifugal potential, the contribution of the pseudospin-orbit coupling potential is very large, the pseudospin symmetry is completely destroyed, that is, the intruding state does not have the possible reason for the pseudospin partner
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