论文标题
有效的壳模式汉密尔顿人和操作员的扰动方法
Perturbative Approach to Effective Shell-Model Hamiltonians and Operators
论文作者
论文摘要
这项工作的目的是概述在多体扰动理论中有效的壳模型哈密顿和衰减算子的推导，并根据其利用来展示所选壳模型研究的结果。更确切地说，我们报告了非专家所需的一些技术细节，以接近从逼真的核能开始的壳模型哈密顿量和运营商的推导，以便为单粒子能量提供一些指导，在这些计算中，单个粒子能量，即残差相互作用的两体矩阵元素，有效的电源和衰减矩阵，而不必予以调整。从上面的角度来看，我们将介绍重质核的双β衰变的研究结果，其中壳模成分是从理论得出的，因此可以评估这种对壳模型研究的方式的可靠性。注意还将集中在与扰动扩张相关的相关方面上，这些方面需要知识来建立这种核结构计算方法的限制和观点。
The aim of this work is to present an overview of the derivation of the effective shell-model Hamiltonian and decay operators within many-body perturbation theory, and to show the results of selected shell-model studies based on their utilisation. More precisely, we report some technical details that are needed by non-experts to approach the derivation of shell-model Hamiltonians and operators starting from realistic nuclear potentials, in order to provide some guidance to shell-model calculations where the single-particle energies, two-body matrix elements of the residual interaction, effective charges and decay matrix elements, are all obtained without resorting to empirical adjustments. On the above grounds, we will present results of studies of double-beta decay of heavy-mass nuclei where shell-model ingredients are derived from theory, so to assess the reliability of such a way to shell-model investigations. Attention will be also focussed on the relevant aspects that are connected to the behavior of the perturbative expansion, whose knowledge is needed to establish limits and perspectives of this approach to nuclear structure calculations.
