原子核八极形变代数模型SU(3)算法与简单应用  

The SU(3)algorithm and simple application of the algebraic model for octupole-deformed nuclei

作　　者：滕威 王胜男 那贵秀 张宇[1] TENG Wei;WANG ShengNan;NA GuiXiu;ZHANG Yu(School of Physics and Electronic Technology,Liaoning Normal University,Dalian 116029,China)

机构地区：[1]辽宁师范大学物理与电子技术学院,大连116029

出　　处：《中国科学：物理学、力学、天文学》2023年第4期37-42,共6页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：国家自然科学基金(编号:11875158)资助项目。

摘　　要：偶偶核低激发态中出现负宇称转动带被认为是八极形变的重要信号.描述核四极集体结构的相互作用玻色子模型(简称IBM)在引入f玻色子后,可以同时描述正宇称态(四极激发)和负宇称态(八极激发).为研究该八极形变代数模型(简称IBM+f),本文引入基于SU(3)基底构建模型哈密顿量矩阵的算法,利用该算法进一步求解IBM+f模型,并对^(224)Ra和<sup>^(222)Rn的低激发结构进行理论分析.结果表明,这两个同中异核素的低激发转动带能级和电多极跃迁几率能够在IBM+f模型中得到较为满意的理论描述,证实IBM+f可以提供一个简单有效的统一描述原子核低激发正负宇称态的代数模型.The appearance of the low-lying negative-parity rotational band in even-even nuclei is considered an important signal of the octupole deformation.Thus,with the f-boson involved,the interacting boson model(IBM),which is traditionally used to describe quadrupole collectivities in nuclei,can be applied to describe both positive-parity(quadrupole)and negative-parity(octupole)states.Furthermore,to study the resulting model(IBM+f),an algorithm for constructing the Hamiltonian matrix in the SU(3)basis is introduced and applied to solve the IBM+f Hamiltonian;subsequently,a theoretical analysis of the low-lying structures of ^(224)Ra and ^(222)Rn is presented.The results indicate that the low-lying levels and B(Eλ)transitional rates in the two isotones can be satisfactorily described by the model calculations,which verifies that the IBM+f model can provide a simple and effective algebraic frame with a unified description of positiveand negative-parity states innuclei.

关 键 词：八极形变 相互作用玻色子模型 f玻色子 SU(3)代数 

分 类 号：O571[理学—粒子物理与原子核物理]