Shell model description of normal parity bands in odd-mass heavy deformed nuclei
Shell model description of normal parity bands in odd-mass heavy deformed nuclei
复制标题
奇质量重变形核正常宇称带的壳模型描述
DOI：
10.1103/physrevc.61.031301
复制
发表时间：
2000
影响因子：
3.1
通讯作者：
LSU
中科院分区：
文献类型：
--
作者：
C. E. Vargas;J. G. Hirsch;T. Beuschel;J. P. D. Cinvestav;ICN;LSU
壳模型是一个适用于原子核、原子和非相对论夸克物理的基础理论，它以最简单的形式给出了幻数作为壳闭包的自然解释，并给出了闭合壳层61个奇质量核@2，3 #的能谱。强大的计算机和对角化大矩阵的特殊算法，使我们能够系统地研究sd壳层@4 ~#和pf壳层直到A556@5 ~#的核。在6 ~#区还发展了求解中质量核壳模型问题的新方法。壳模型描述的重核需要进一步的假设，包括一个系统的和适当的截断模型空间@1#。在轻形变核中，四极-四极相互作用的主导作用导致SU~3！shell模型@7#，并且使用它可以非常自然地截断大型模型空间。尽管现实的交互混合了不同的不可约表示~irreps！，大变形轻核的基态波函数通常只包含少量的SU~3！irreps@8 ‐11#。强的自旋轨道相互作用使通常的SU~3！该方案在重核中无用，但同时赝自旋出现为良好的对称性@12 - 14#。赝自旋对称性指的是这样的实验事实，即在壳层h中具有j5（l22）11/2和j5（l22）11/2的单粒子轨道在能量上非常接近，因此可以被标记为量子数为j的赝自旋二重态
The shell model is a fundamental theory that is applicable in nuclear, atomic, and nonrelativistic quark physics @1# .I n its simplest formulation it provides a natural explanation of magic numbers as shell closures and the energy spectra of closed shell 61 odd-mass nuclei @2,3#. Powerful computers and special algorithms for diagonalizing large matrices have allowed systematic studies of nuclei of the sd shell @4# and pf shell up to A556 @5#. New methods for solving large scale shell-model problems in medium mass nuclei have also been developed @6#. A shell-model description of heavy nuclei requires further assumptions that include a systematic and proper truncation of the model space @1#. In light deformed nuclei the dominance of the quadrupole-quadrupole interaction led to the introduction of the SU~3! shell model @7#, and with it a very natural means to truncate large model spaces. Although realistic interactions mix different irreducible representations ~irreps!, the ground state wave function of well-deformed light nuclei normally consists of only a few SU~3! irreps @8‐11#. The strong spinorbit interaction renders the usual SU~3! scheme useless in heavy nuclei, but at the same time pseudospin emerges as a good symmetry @12‐14#. Pseudospin symmetry refers to the experimental fact that single-particle orbitals with j5l21/2 and j5(l22)11/2 in the shell h lie very close in energy and can therefore be labeled as pseudospin doublets with quantum numbers j