Nuclear Structure Theory and Related

本项目的主要重点是开发用于核结构的密度矩阵重整化群的角动量守恒变体。这种方法有潜力极大地扩大原子核的范围，可以用壳层模型在微观上描述。特拉华大学的一名研究生将全面参与该项目，作为其博士论文研究的一部分。通过他的参与，学生不仅可以接触到核结构理论的前沿研究，还可以接触到最现代的计算方法。该项目的第二个重点涉及使用精确可解模型，以获得对原子核和其他强相互作用量子系统所表现出的集体特征的新见解。将讨论的与原子核特别相关的问题包括质子-中子对在N=Z附近的原子核中的作用，以及在微观平均场理论中精确处理配对的重要性。

The principal focus of this project is on the development of an angular-momentum-conserving variant of the Density Matrix Renormalization Group for application to nuclear structure. This method has the potential of dramatically expanding the range of nuclei that can be described microscopically using the shell model. A graduate student at the University of Delaware will participate fully in this project, as part of his Ph.D. thesis research. Through his involvement, the student will not only be exposed to forefront research in nuclear structure theory but also to the most modern computational methodologies.A second focus of the project involves the use of exactly solvable models to gain new insight into the collective features exhibited by nuclei and other strongly-interacting quantum systems. Issues of particular relevance to nuclei that will be addressed include the role of proton-neutron pairing in nuclei near N=Z and the importance of treating pairing exactly in microscopic mean field theories.