Nuclear Structure With Renormalization Group Improved Interactions and Operators

具有重正化组的核结构改进了交互作用和操作员

• 批准号: 0758125
• 负责人: Scott Bogner
• 金额: $ 23.4万
• 依托单位: Michigan State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-09-01 至 2011-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0758125&HistoricalAwards=false
• 关键词: Nuclear; Structure; Renormalization; Group; Improved

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.

我们寻求开发计算上可行的理论方法，提供一个模型无关的，微观的原子核的描述与可控的理论误差在广泛的核。 该项目与核物理学的前沿问题高度相关，例如远离稳定性的核物理学，其中远离稳定性的受控外推是必不可少的，但迄今为止缺乏理论方法。 有必要开发具有理论误差条的改进计算方法，以便为下一代稀有同位素束设施提供指导，并为天体物理应用提供可靠的核物理输入。 我们实现这个项目目标的主要工具将是重整化群，它使核子之间的力能够演化为更便于大规模计算的更软形式，以及有效场论，它提供了一个独立于模型的系统化的核子间力组织。该项目将通过促进核子间力的相互作用产生更广泛的影响，学科联系，并帮助建立一个强大的和年轻的科学界在美国。 有效场论和重整化群的互补技术由于其普适性和简化能力而被广泛应用于理论物理的许多领域。 因此，我们使用这些现代和通用的技术将加强与其他学科，如凝聚态，原子和高能理论的相互作用。 同样，在这项工作中使用耦合团簇和能量密度泛函方法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）和实践（数值）工作的良好平衡，这将为工业或学术界的职业生涯做好准备。