变分多粒子-多空穴组态混合方法在核配对关联中的应用

用多粒子-多孔Gogny能量密度泛函研究几种偶-偶硅同位素的低激发能谱

Low-lying spectroscopy of a few even-even silicon isotopes investigated by means of the multiparticle-multihole Gogny energy density functional

本文采用多组态微观方法，结合Gogny有效相互作用，计算了$^{26-28}$ Si同位素的低宇称态。研究的目的是比较这种方法的结果与GCM类型的标准方法，并深入了解多组态方法的预测能力，采用有效的核子-核子力泰勒平均场计算。发现多组态方法能很好地描述$^{26}$ Si、$^{28}$ Si和$^{32}$ Si的低激发能谱，但在$^{30}$ Si中产生了系统的能移.对这种现象的仔细分析表明，这种差异源于Gogny相互作用提供的质子-中子剩余相互作用中的矩阵元太大。最后，在$^{28}$ Si的高激发态配置的统计分析进行，揭示指数收敛与以前的工作中的壳模型方法的上下文中。后者的结果提供了强有力的论据对高激发配置的隐式治疗。

用转动γ射线探测复合态的宽度

Probing the width of compound states with rotational gamma rays

（多粒子-多空穴）复合态的固有宽度是一个难以捉摸的量，难以直接获得，因为它被控制原子核集体响应的阻尼机制所掩盖。通过微观推转壳模型计算，发现二维γ符合谱的强度函数是一个由转动阻尼宽度（宽分量）和复合阻尼宽度（窄分量）控制的双分量结构。这最后一个组件被发现是直接相关的多粒子多孔自相关函数的宽度。

描述核关联的粒子-空穴展开的收敛性

Convergence of Particle-Hole Expansions for the Description of Nuclear Correlations

在精确可解的配对哈密顿量的情况下，研究了描述原子核中基态关联的多粒子-多空穴组态混合方法的收敛性质.两种不同的截断方案进行了测试，通过查看相关能量和单粒子占据概率的数量。结果表明，配对相关存在于通常的超流核可以准确地描述使用多达6个粒子-6个空穴激发，收敛速度快，足以设想扩展到全微观计算。

Description of nuclear systems with a self-consistent configuration-mixing approach. I: Theory, algorithm, and application to the $^{12}$C test nucleus

Although self-consistent multi-configuration methods have been used for decades to address the description of atomic and molecular many-body systems, only a few trials have been made in the context of nuclear structure. This work aims at the development of such an approach to describe in a unified way various types of correlations in nuclei, in a self-consistent manner where the mean-field is improved as correlations are introduced. The goal is to reconcile the usually set apart Shell-Model and Self-Consistent Mean-Field methods. This approach is referred as "variational multiparticle-multihol…

对上sd壳层原子核的认识

Understanding Nuclei in the upper sd - shell

在上$sd$壳层中的核通常表现出球形单粒子激发的特征。近年来，采用先进的伽马能谱技术，观测到了A $\simeq$ 40附近几个原子核的高自旋态。在其中的一些多粒子，多空穴旋转状态与单粒子性质的状态共存。我们已经研究了几个原子核在这个质量区域的实验，使用各种活动的印度国家伽玛阵列设置。我们将实验观测结果与大尺度壳模型结果进行了比较和结合，以解释这些核的结构。在我们的数据中发现了大变形态布居的指示。这给了我们一个机会来研究这个质量区域中单个粒子和集体自由度的相互作用。

Description of nuclear systems with a self-consistent configuration-mixing approach. II: Application to structure and reactions in even-even sd-shell nuclei

The variational multiparticle-multihole configuration mixing approach (MPMH) to nuclei has been proposed about a decade ago. While the first applications followed rapidly, the implementation of the full formalism of this method has only been recently completed and applied in [C. Robin, N. Pillet, D. Peña Arteaga and J.-F. Berger, Phys. Rev. C 93, 024302 (2016)] to $^{12}$C as a test-case. The main objective of the present paper is to carry on the study that was initiated in that reference, in order to put the MPMH method to more stringent tests. To that aim we perform a systematic study of eve…