Nuclear Structure With Renormalization Group Improved Interactions and Operators

我们寻求发展计算上可行的理论方法，提供一个模型独立的，原子核的微观描述，在广泛的原子核范围内具有可控的理论误差。该项目与核物理学中的前沿问题高度相关，例如远离稳定的原子核物理学，其中远离稳定的受控外推是必不可少的，但迄今为止缺乏理论方法。有必要发展改进的理论误差条计算，为下一代稀有同位素束流设施提供指导，并为天体物理应用提供可靠的核物理输入。我们完成这个项目目标的主要工具将是重整化小组，它使核子之间的力演变成更软的形式，更便于大规模计算，以及有效场论，它提供了一个独立于模型和系统的核子间力组织。该项目将通过促进跨学科联系和帮助在美国建立一个强大和年轻的科学界，产生更广泛的影响。有效场论和重整化群的互补技术由于其通用性和简化能力而广泛应用于理论物理的许多领域。因此，我们对这些现代和通用技术的使用将加强与其他学科如凝聚态物质、原子和高能理论的相互作用。同样，在这项工作中，原子核的耦合簇和能量密度泛函方法的使用将促进与量子化学的联系。最后，目前的项目将为研究生和博士后提供正式（分析）和实际（数值）工作的良好平衡，这将为工业界或学术界的职业生涯做好准备。

We seek to develop computationally feasible theoretical methods that provide a model-independent, microscopic description of atomic nuclei with controllable theoretical errors across a wide range of nuclei. This project is highly relevant to forefront problems in nuclear physics, such as the physics of nuclei far from stability, where controlled extrapolations away from stability are essential but have been lacking in theoretical approaches to date. The development of improved calculations with theoretical error bars will be necessary to provide guidance for the next generation of rare isotope beam facilities and reliable nuclear physics input for astrophysical applications. Our primary tools to accomplish the objectives of this project will be the Renormalization Group, which enables the forces between nucleons to be evolved to a softer form that is more convenient for large-scale computations, and Effective Field Theory, which provides a model-independent and systematic organization of inter-nucleon forces.This project will have broader impacts by fostering inter-disciplinary connections and helping to build a strong and youthful scientific community in the United States. The complementary techniques of Effective Field Theory and the Renormalization Group are widely used in many areas of theoretical physics due to their universality and power of simplification. Therefore, our use of these modern and general techniques will enhance interactions with other disciplines such as condensed matter, atomic, and high energy theory. Similarly, the use of coupled-cluster and energy density functional methods for nuclei in this work will foster connections with quantum chemistry. Finally, the current project will provide graduate students and postdocs with a good balance of formal (analytical) and practical (numerical) work, which will serve as excellent preparation for a career in industry or academia.