Green's Functions and The Nuclear Many-Body Problem

格林函数和核多体问题

• 批准号: 0968941
• 负责人: Willem Dickhoff
• 金额: $ 49.5万
• 依托单位: Washington University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-07-01 至 2013-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0968941&HistoricalAwards=false
• 关键词: Green; Functions; Nuclear; Many; Body

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.

该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。 特别强调具有大量中子或质子过剩的原子核物理，旨在为稀有同位素设施的实验提供理论支持和预测，包括 RIKEN Tokyo、GSI Darmstadt 和 NSCL/MSU East Lansing 的新一代稀有同位素设施。 由于此类设施的大多数实验都采用强相互作用的探针，因此提出了对此类反应的改进分析，以提取新的物理现象。 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刻不容缓。 该研究项目的工具是基于格林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。 基于自洽格林函数方法的 Faddeev 随机相位近似 (FR​​PA) 公式，提出了较重和奇异核的从头算微观计算。 这种多体方法似乎是处理中重核以计算基态和光谱数据的最有前途的策略之一。 该提案还概述了阐明饱和密度附近核物质相图的具体步骤，该相图是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（FRIB）设施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 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在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。 他们作为具有原创性和生产力的科学家的独立发展是该计划的核心目标，并将继续为他们进入工业或学术机构做好准备。