CAREER: Three-body Analysis in the Finite Volume

职业：有限体积中的三体分析

• 批准号: 1452055
• 负责人: Michael Doering
• 金额: $ 44.92万
• 依托单位: George Washington University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-08-01 至 2020-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1452055&HistoricalAwards=false
• 关键词: CAREER; Three; body; Analysis; Finite

Strong forces are responsible for the formation of matter as we know it, but the detailed understanding of the underlying mechanism remains a challenge in the physics of hadrons, elementary particles most susceptible to the strong force. The origin of mass and the patterns of resonance phenomena within hadrons can be addressed in principle using ab-initio simulations of the strong force. Yet the connection between simulation data and the physical world represents a major conceptual problem. In this context, this project will develop and apply theoretical and computational methods intended to support the experimental program at the Jefferson National Accelerator Facility and close the gap between observed phenomena and their explanation from first principles. The PI will also develop a computer programming workshop for local high schools and will develop a course at the George Washington University to provide undergraduates with the skills necessary to analyze data in physics and other disciplines.The underlying theory of the strong force, Quantum Chromodynamics (QCD), can be simulated using Lattice QCD methods on supercomputers. However, the small volumes probed in these calculations lead to numerical artefacts generally referred to as finite-volume effects. For the three particles case, these effects are not understood. As such, this project aims to develop three-body methods to enable the extrapolation of Lattice QCD results to the physical world and to help answer the fundamental question regarding the QCD predictions for the properties of excited mesons and baryons. The PI and his students will use the Faddeev formalism in the isobar approximation to addresses conceptual challenges such as three-body unitarity. Widely usable analysis tools, designed for minimal model dependence, will be developed and will be applied to the study of systems of high current interest, such as exotics, the X(3872), and the Roper resonance that exhibits notorious problems in QCD simulations.

正如我们所知，强力是物质形成的原因，但对基本机制的详细理解仍然是强子物理学中的一个挑战，强子是最容易受到强力影响的基本粒子。原则上可以使用强力的从头算模拟来解决强子内质量的起源和共振现象的模式。然而，模拟数据和物理世界之间的联系是一个主要的概念问题。在此背景下，该项目将开发和应用理论和计算方法，旨在支持杰斐逊国家加速器设施的实验计划，并缩小观察到的现象与第一原理的解释之间的差距。 PI 还将为当地高中开发一个计算机编程研讨会，并将在乔治华盛顿大学开发一门课程，为本科生提供分析物理和其他学科数据所需的技能。强力的基础理论，量子色动力学（ QCD），可以在超级计算机上使用莱迪思 QCD 方法进行模拟。然而，这些计算中探测的小体积会导致通常称为有限体积效应的数值假象。对于三个粒子的情况，这些影响尚不清楚。因此，该项目旨在开发三体方法，将晶格 QCD 结果外推到物理世界，并帮助回答有关激发介子和重子特性的 QCD 预测的基本问题。 PI 和他的学生将使用等压线近似中的 Faddeev 形式来解决三体幺正性等概念挑战。将开发旨在最小化模型依赖性的广泛可用的分析工具，并将其应用于当前感兴趣的系统的研究，例如奇异系统、X(3872) 和在 QCD 模拟中表现出臭名昭著问题的 Roper 共振。