复动量格林函数方法研究^(198)Ce的单粒子能级结构  

Exploration of the structure of the single-particle energy level in^(198)Ce by the complex momentum representation with Green's function method

作　　者：仕敏 刘沁雪 SHI Min;LIU QinXue(School of Mathematics and Physics,Anhui Jianzhu University,Hefei 230601,China;Key Laboratory of Architectural Acoustic Environment of Anhui Higher Education Institutes,Hefei 230601,China;Key Laboratory of Advanced Electronic Materials and Devices,Hefei 230601,China)

机构地区：[1]安徽建筑大学数理学院,合肥230601 [2]安徽省建筑声环境重点实验室,合肥230601 [3]先进电子材料与器件重点实验室,合肥230601

出　　处：《中国科学：物理学、力学、天文学》2023年第8期150-157,共8页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：国家自然科学基金(编号:11805004);安徽省高校优秀青年科研项目(编号:2022AH030039);安徽省高校研究项目(编号:KJ2020A0485,gxyq2022028)资助。

摘　　要：本文首先介绍了单粒子共振态的研究意义和研究方法以及Ce原子核的研究意义,其次给出了复动量格林函数(RMF-CMR-GF)方法的理论框架.重点采用此方法研究了^(198)Ce原子核包含束缚态和共振态的单粒子能级分布,详细研究了复动量空间的单粒子共振态分布、共振态对应的能级密度分布以及坐标空间内单粒子态密度分布,并证实了与共振态相关的参数均不随复动量空间中积分路径的改变而改变.采用RMF-CMR-GF方法计算得到的共振态能级密度,是在总哈密顿量对应的能级密度中,除去背景能量对应能级密度而得到的,并且通过共振峰可直观地展示出共振态的能量和宽度,这些共振态参数更加准确.由于费米面附近的单粒子共振态对奇特现象的形成有着重要作用,还计算研究了费米面附近共振态密度分布.本文较为准确地获取的共振态参数,对下一步研究奇特现象有着重要的意义.In this paper,the significance and methods for investigating single-particle resonances and the significance of studying Ce are introduced.Furthermore,the theoretical framework of RMF-CMR-GF(the complex momentum representation method was combined with Green's function in the relativistic mean-field framework)method is also introduced.This paper focuses on the structure of the single-particle energy level in ^(198)Ce,which contains the bound and resonant states.Moreover,the distribution of single-particle resonances in the complex momentum space,the corresponding energy-level density distribution of resonances,and the density of single-particle state distribution in coordinate space are investigated in detail,and the parameters related to resonances are confirmed to remain unchanged with the change in the integration path in the complex momentum space.In this paper,the energy-level density of resonances calculated using the RMFCMR-GF method is obtained after subtracting the corresponding energy-level density of the background energy from the energy-level density corresponding to the total Hamiltonian.Meanwhile,the energy and width of resonances can be intuitively displayed through resonance peaks,and the parameters related to resonances become more accurate.Since the resonances near the Fermi surface play an important role in the occurrence of exotic phenomena,the density of these resonances is also calculated.The parameters of resonances obtained accurately in this paper are significant for further research on exotic phenomena.

关 键 词：单粒子能级 RMF-CMR-GF方法 能级密度 

分 类 号：O571.412[理学—粒子物理与原子核物理]