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系统和无限核系统的认识。特别强调的是原子核的物理与大中子或质子过剩的意图提供理论支持和预测在稀有同位素设施的实验，包括新一代在理研东京，GSI达姆施塔特，和NSCL/MSU东兰辛。由于在这类设施中进行的大多数实验都使用强相互作用探针，因此提出了一种改进的反应分析方法，以便提取新的物理现象。重离子敲除和转移反应之间的严重差异使得该框架的继续发展迫在眉睫。本研究项目的工具是色散光学模型，基于格林函数方法，它提供了核反应和核结构信息之间的桥梁。基于自洽格林函数法的Fadeev随机相近似（FRPA）公式，提出了重核和奇异核的从头算微观计算。对于计算基态和光谱数据，这种多体方法似乎是处理中重核的最有前途的策略之一。该建议还概述了具体步骤，以澄清核物质的相图围绕饱和密度，作为密度，温度和核子不对称性的函数。这项研究旨在提高核反应分析的标准，并打算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不断接触到PI的多体理论书，促进了对其他学科中核物理学中令人兴奋的新现象的更好理解。对研究生助理和博士后在科研过程和伦理方面的指导是该项目不可分割的一部分。培养他们成为具有独创性和生产力的独立科学家是该计划的中心目标，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 (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.