本文關(guān)鍵詞：相對(duì)論框架下原子核單粒子共振態(tài)的研究　出處：《安徽大學(xué)》2017年博士論文　論文類(lèi)型：學(xué)位論文

  更多相關(guān)文章： 單粒子共振態(tài) 復(fù)標(biāo)度方法 復(fù)標(biāo)度格林函數(shù)方法 復(fù)動(dòng)量表象方法 相對(duì)論平均場(chǎng)

【摘要】：原子核單粒子共振態(tài)在暈、能級(jí)反轉(zhuǎn)和幻數(shù)移動(dòng)等奇特現(xiàn)象中扮演著重要角色。本文將復(fù)標(biāo)度方法(CSM)、復(fù)標(biāo)度格林函數(shù)(CGF)方法和復(fù)動(dòng)量表象(CMR)方法與相對(duì)論平均場(chǎng)理論(RMF)結(jié)合,發(fā)展了RMF-CSM、RMF-CGF和RMF-CMR理論方法,并用這些方法研究了原子核的單粒子共振。主要內(nèi)容如下:一、將復(fù)標(biāo)度方法和描述形變核的相對(duì)論平均場(chǎng)理論結(jié)合,發(fā)展了描述形變核的RMF-CSM理論方法。以A=31原子核為例,研究了原子核的單粒子共振態(tài),獲得了共振態(tài)的能量和寬度等共振參數(shù),分析了共振參數(shù)與原子核形變的關(guān)系,給出了單粒子束縛和共振態(tài)的能級(jí)結(jié)構(gòu)及其隨形變的變化規(guī)律,解釋了 31Ne暈現(xiàn)象的形成根源。二、為了消除CSM方法計(jì)算結(jié)果對(duì)復(fù)標(biāo)度參數(shù)的依賴(lài),以獲得更加準(zhǔn)確的結(jié)果,本文將復(fù)標(biāo)度格林函數(shù)方法拓展到相對(duì)論平均場(chǎng)理論,發(fā)展了RMF-CGF理論方法。通過(guò)消去連續(xù)譜的干擾,將反映共振態(tài)的共振峰清晰地表現(xiàn)在連續(xù)能級(jí)密度上,從而可以更加方便和準(zhǔn)確地確定共振態(tài)和相應(yīng)的共振參數(shù)。用RMF-CGF方法研究了 120Sn的單粒子共振態(tài),獲得與其它理論方法一致的結(jié)果。比較而言,本文的結(jié)果更加準(zhǔn)確。三、盡管RMF-CGF方法可以相當(dāng)準(zhǔn)確地確定共振參數(shù),由于復(fù)標(biāo)度方法的局限性,RMF-CGF方法不能很好地確定寬共振,而連續(xù)閾附近的寬共振在奇特現(xiàn)象中扮演著關(guān)鍵角色。為此,本文進(jìn)一步將CMR方法拓展到相對(duì)論平均場(chǎng)理論,發(fā)展了RMF-CMR理論方法,研究了原子核的單粒子共振態(tài),發(fā)現(xiàn)RMF-CMR方法不僅能夠統(tǒng)一描述束縛態(tài)、共振態(tài)和連續(xù)譜,而且能夠很好地描述窄共振態(tài)和寬共振態(tài),解決了其它方法難以同時(shí)描述窄共振態(tài)和寬共振態(tài)的困難,展現(xiàn)了RMF-CMR理論方法的優(yōu)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.
【學(xué)位授予單位】：安徽大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：O571.2

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