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Nucleon-pair coupling scheme in Elliott's SU(3) model
Physical Review C ( IF 3.2 ) Pub Date : 2021-02-15 , DOI: 10.1103/physrevc.103.l021302
G. J. Fu , Calvin W. Johnson , P. Van Isacker , Zhongzhou Ren

Elliott's SU(3) model is at the basis of the shell-model description of rotational motion in atomic nuclei. We demonstrate that SU(3) symmetry can be realized in a truncated shell-model space if constructed in terms of a sufficient number of collective S, D, G,...pairs (i.e., with angular momentum zero, two, four,...) and if the structure of the pairs is optimally determined either by a conjugate-gradient minimization method or from a Hartree-Fock intrinsic state. We illustrate the procedure for six protons and six neutrons in the pf (sdg) shell and exactly reproduce the level energies and electric quadrupole properties of the ground-state rotational band with SDG (SDGI) pairs. The SD-pair approximation without significant renormalization, on the other hand, cannot describe the full SU(3) collectivity. A mapping from Elliott's fermionic SU(3) model to systems with s, d, g,... bosons provides insight into the existence of a decoupled collective subspace in terms of S, D, G,... pairs.

中文翻译:

Elliott SU(3)模型中的核子对偶联方案

Elliott的SU(3)模型是原子核中旋转运动的壳模型描述的基础。我们证明,如果根据足够多的集合体构造,SU(3)对称性可以在截断的壳模型空间中实现小号dG,...对(即角动量为零,两个,四个...),以及是否通过共轭梯度最小化方法或从Hartree-Fock本征态最佳确定了对的结构。我们说明了六种质子和六个中子的过程pFsdG)并精确地再现基态旋转带的能级和四极电性质 小号dG小号dG一世)对。这小号d另一方面,没有显着重新归一化的双对逼近不能描述完整的SU(3)集合。从Elliott的Fermionic SU(3)模型到具有sdG,...玻色子从以下方面提供了对解耦集合子空间的存在的见解 小号dG,...对。
更新日期:2021-02-15
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