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Applications of effective field theory/density functional theory to ground-state properties of nuclei far from stability.

机译：有效场论/密度泛函理论在远离稳定性的核基态性质中的应用。

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The applicability of a new approach, developed by Furnstahl, Serot and Tang, to describe the nuclear many-body system is studied for nuclei far from stability. This approach combines elements of effective field theory (EFT) and density functional theory (DFT) and has already been tested in the stability region. In this thesis, several steps are taken to address the question of the applicability of the EFT/DFT formulation to nuclei far from stability. First the convergence of the approach is studied by applying it directly to selected doubly-magic nuclei far from stability. An independently developed code, which can incorporate various levels of approximation of the chiral effective lagrangian, is used to solve the self-consistent relativistic Hartree equations. This program is used to obtained results for ground-state properties such as binding energies, single-particle level structure, and densities of the doubly-magic nuclei 132,100Sn and 48,78Ni. Second, the accuracy of the calculation of the ground-state density is indirectly studied by using the single-particle (Kohn-Sham) wave functions to calculate weak transitions. The weak currents used correspond to the Noether currents derived from the effective lagrangian. The calculations use a general expression for single-particle transition matrix elements, derived here, from which any semi-leptonic weak rate can be calculated. Attention is focused on beta-decay processes in nuclei neighboring 132Sri and the results are compared with available experimental data. Finally calculations are extended to determine total binding energies and single-particle and single-hole binding energies, spins, and parities for isotopes with magic numbers N = 28, 50, 82, 126, and isotopes with Z = 28, 50, 82. The results of this thesis indicate that the EFT/DFT formulation of Furnstahl, Serot and Tang is capable of reproducing the relevant ground-state binding energies to within 1%, chemical-potentials with an average accuracy of 10%, and ground-state spins and parities, at least if the neutron level density is not too high.
机译：由Furnstahl，Serot和Tang开发的描述核多体系统的新方法的适用性研究的核心远非稳定性。这种方法结合了有效场论（EFT）和密度泛函理论（DFT）的要素，并且已经在稳定区域进行了测试。在本文中，采取了几个步骤来解决EFT / DFT制剂对核的稳定性远非适用性的问题。首先，通过将方法直接应用于远离稳定性的选定双磁核研究方法的收敛性。可以结合手性有效拉格朗日函数的各种近似水平的独立开发的代码来求解自洽相对论的Hartree方程。该程序用于获得基态性质的结果，例如结合能，单粒子能级结构以及双磁性核 132,100 Sn和 48,78 镍。其次，通过使用单粒子（Kohn-Sham）波函数来计算弱跃迁，间接研究了基态密度的计算精度。使用的弱电流对应于从有效拉格朗日算式得出的Noether电流。计算使用此处导出的单粒子过渡矩阵元素的一般表达式，由此可以计算出任何半轻子弱速率。注意力集中在与 132 Sri相邻的原子核中的β衰变过程上，并将结果与​​可用的实验数据进行比较。最后扩展计算以确定魔术数N = 28、50、82、126的同位素和Z = 28、50、82的同位素的总结合能以及单粒子和单孔结合能，自旋和奇偶性。本文的结果表明，Furnstahl，Serot和Tang的EFT / DFT配方能够将相关的基态结合能重现到1％以内，化学势的平均准确度为10％，并且基态自旋和平价，至少在中子能级密度不太高的情况下。

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