Green's Functions and the Nuclear Many-Body Problem

这个研究项目的总体目标是增加我们对有限(核)和无限的核系统的了解。特别强调具有大的中子或质子过剩的原子核的物理学，目的是为稀有同位素设施的实验提供理论支持和预测，包括东京理化学研究所、达姆施塔特研究所和密歇根州立大学东兰辛的新一代设施。由于这些设施中的大多数实验都使用了强相互作用的探测器，因此提出了一种改进的对此类反应的分析，以提取新的物理学。重离子敲除反应和转移反应之间的严重差异使得这一框架的继续发展迫在眉睫。这个研究项目的工具是基于格林函数方法的色散光学模型，它为核反应和核结构信息之间提供了一座桥梁。基于自洽格林函数的Fadeev随机相近似(FRPA)公式，对重核和奇异核进行了从头算微观计算。这种多体方法似乎是处理中、重原子核计算基态和光谱数据的最有前途的策略之一。该提案还概述了澄清作为密度、温度和核子不对称性函数的核物质饱和密度附近相图的具体步骤。这项研究旨在提高核反应分析的标准，并旨在对计划中的稀有同位素束设施(FRIB)等设施的实验计划产生重大影响。该小组实施的从头算FRPA方法提供了与其他领域的跨学科联系，并涉及与英国、日本、西班牙和比利时的机构的国际合作。世界各地的研究生和年轻科学家继续接触到PI的多体理论书籍，促进了对其他学科核物理中令人兴奋的新现象的理解。对研究生助理和博士后助理进行科学研究过程和道德方面的指导是该项目的一个组成部分。他们作为原创和多产的科学家走向独立是该计划的核心目标，并将继续帮助他们为行业或学术机构做好准备。

This research project has the overall goal of increasing our knowledge of nuclear systems both finite (nuclei) and infinite. Particular emphasis is placed on the physics of nuclei with large neutron or proton excess with the intent to provide theoretical support and predictions for experiments at rare isotope facilities, including the new generation at RIKEN Tokyo, GSI Darmstadt, and NSCL/MSU East Lansing. Because most experiments at such facilities employ strongly interacting probes, an improved analysis of such reactions is proposed in order to extract new physics. The serious discrepancies between heavy-ion knockout and transfer reactions make the continued development of this framework urgent. The tool for this research project is the dispersive optical model, based on the Green's function method, which provides a bridge between nuclear reactions and nuclear structure information. Ab initio microscopic calculations of heavier and exotic nuclei are proposed based on the Fadeev random phase approximation (FRPA) formulation of the self-consistent Green's function method. This many-body approach appears to be one of the most promising strategies to deal with medium and heavy nuclei for the calculation of the ground state as well as spectroscopic data. The proposal also outlines concrete steps to clarify the phase diagram of nuclear matter around saturation density, as a function of density, temperature and nucleon asymmetry. The research aims to raise the standard of the analysis of nuclear reactions and is intended to have a significant impact on the experimental program at facilities like the planned Facility for Rare Isotope Beams (FRIB). The ab initio FRPA method practiced in the group provides interdisciplinary links with other fields and involves international collaborations with institutions in England, Japan, Spain, and Belgium. The continued exposure of graduate students and young scientists all over the world to the many-body theory book of the PI fosters improved understanding of exciting new phenomena in nuclear physics in other disciplines. The mentoring of graduate assistants and post-doctoral associates in the process and ethic of scientific research is an integral part of the project. Their development toward independence as original and productive scientists is a central objective of the program and will continue to prepare them for industry or academic institutions.