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和无限核系统的了解。 特别强调的是与大的中子或质子过剩的核物理学的意图提供理论支持和预测的实验在罕见的同位素设施，包括新一代在东京理研，GSI达姆施塔特，和NSCL/MSU东兰辛。 由于大多数实验在这样的设施采用强相互作用的探针，提出了一种改进的分析，这样的反应，以提取新的物理。 重离子敲除反应和转移反应之间的严重差异使得这一发展迫在眉睫。 该研究项目的工具是基于绿色函数方法的色散光学模型，它提供了核反应和核结构信息之间的桥梁。 基于自洽绿色函数方法的Faddeev无规相位近似（FRPA），提出了重核和奇异核的从头算微观计算。 这种多体方法似乎是最有前途的策略之一，以处理中，重核的基态计算以及光谱数据。 该提案还概述了澄清饱和密度附近核物质相图的具体步骤，作为温度和核子不对称性的函数。 该研究旨在提高核反应分析的标准，并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。 该小组实践的从头开始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。 研究生和年轻的科学家在世界各地的继续接触到PI的多体理论书促进了对其他学科的核物理中令人兴奋的新现象的理解。 指导研究生助理和博士后同事在科学研究的过程和道德是该项目的一个组成部分。 他们作为原创和多产科学家的独立发展是该计划的核心目标，并将继续为工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 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. Since 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 this development 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 Faddeev 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 temperature and nucleon asymmetry. The research intends 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.