相对论框架下原子核单粒子共振态的研究

发布时间：2018-01-08 04:24

本文关键词：相对论框架下原子核单粒子共振态的研究　出处：《安徽大学》2017年博士论文　论文类型：学位论文

【摘要】：原子核单粒子共振态在晕、能级反转和幻数移动等奇特现象中扮演着重要角色。本文将复标度方法(CSM)、复标度格林函数(CGF)方法和复动量表象(CMR)方法与相对论平均场理论(RMF)结合,发展了RMF-CSM、RMF-CGF和RMF-CMR理论方法,并用这些方法研究了原子核的单粒子共振。主要内容如下:一、将复标度方法和描述形变核的相对论平均场理论结合,发展了描述形变核的RMF-CSM理论方法。以A=31原子核为例,研究了原子核的单粒子共振态,获得了共振态的能量和宽度等共振参数,分析了共振参数与原子核形变的关系,给出了单粒子束缚和共振态的能级结构及其随形变的变化规律,解释了 31Ne晕现象的形成根源。二、为了消除CSM方法计算结果对复标度参数的依赖,以获得更加准确的结果,本文将复标度格林函数方法拓展到相对论平均场理论,发展了RMF-CGF理论方法。通过消去连续谱的干扰,将反映共振态的共振峰清晰地表现在连续能级密度上,从而可以更加方便和准确地确定共振态和相应的共振参数。用RMF-CGF方法研究了 120Sn的单粒子共振态,获得与其它理论方法一致的结果。比较而言,本文的结果更加准确。三、尽管RMF-CGF方法可以相当准确地确定共振参数,由于复标度方法的局限性,RMF-CGF方法不能很好地确定宽共振,而连续阈附近的宽共振在奇特现象中扮演着关键角色。为此,本文进一步将CMR方法拓展到相对论平均场理论,发展了RMF-CMR理论方法,研究了原子核的单粒子共振态,发现RMF-CMR方法不仅能够统一描述束缚态、共振态和连续谱,而且能够很好地描述窄共振态和宽共振态,解决了其它方法难以同时描述窄共振态和宽共振态的困难,展现了RMF-CMR理论方法的优越性。
[Abstract]:Single particle resonance plays an important role in strange phenomena such as halo, energy level inversion and magic number shift. In this paper, the complex scaling method (CSM) is introduced. RMF-CSM is developed by combining the complex scaling Green's function method and the complex momentum representation method with the relativistic mean field theory (RMF). RMF-CGF and RMF-CMR theory and methods are used to study the single particle resonance of the nucleus. The main contents are as follows: 1. By combining the complex scaling method with the relativistic mean field theory for describing deformed nuclei, the RMF-CSM theory method for describing deformed nuclei is developed. The resonance parameters such as energy and width of the resonance state are obtained. The relationship between the resonance parameters and the nuclear deformation is analyzed. The energy level structure of the single particle binding and the resonance state and its variation with the deformation are given. The origin of the 31Ne halo phenomenon is explained. Secondly, in order to eliminate the dependence of the CSM calculation results on the complex scaling parameters, more accurate results can be obtained. In this paper, the complex scaling Green's function method is extended to the relativistic mean field theory, and the RMF-CGF theory method is developed. The resonance peak reflecting the resonance state is clearly expressed in the continuous energy level density. Thus, the resonance state and the corresponding resonance parameters can be determined more conveniently and accurately. The single-particle resonance state of 120Sn is studied by RMF-CGF method. Compared with other theoretical methods, the results obtained in this paper are more accurate. Third, although the RMF-CGF method can determine the resonance parameters quite accurately, because of the limitation of complex scaling method. The RMF-CGF method can not determine the wide resonance well, and the wide resonance near the continuous threshold plays a key role in the strange phenomena. Therefore, the CMR method is further extended to the relativistic mean field theory. The RMF-CMR theory method is developed and the single particle resonance state of the nucleus is studied. It is found that the RMF-CMR method can not only describe the bound state, the resonance state and the continuum spectrum in a unified way. It can well describe the narrow resonance state and the wide resonance state, which solves the difficulty of other methods to describe the narrow resonance state and the wide resonance state simultaneously, and shows the superiority of the RMF-CMR theory method.
【学位授予单位】：安徽大学
【学位级别】：博士
【学位授予年份】：2017
【分类号】：O571.2

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