CAREER: Three-body Analysis in the Finite Volume

正如我们所知，强作用力是物质形成的原因，但对其潜在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作用力影响的基本粒子。质量的起源和强子内部共振现象的模式，原则上可以用强力的从头算模拟来解决。然而，模拟数据和物理世界之间的联系代表了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从第一原理解释它们之间的差距。PI还将为当地高中开设一个计算机编程讲习班，并将在乔治华盛顿大学开设一门课程，为本科生提供分析物理学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），可以用晶格QCD方法在超级计算机上模拟。然而，在这些计算中探测的小体积导致通常被称为有限体积效应的数值伪影。对于三粒子的情况，这些效应还不清楚。因此，本项目旨在开发三体方法，使晶格QCD结果能够外推到物理世界，并帮助回答有关激发介子和重子性质的QCD预测的基本问题。PI和他的学生将在等压线近似中使用Faddeev形式来解决概念性挑战，例如三体统一性。广泛使用的分析工具，为最小的模型依赖而设计，将被开发并将应用于高电流兴趣系统的研究，例如exotics， X（3872）和在QCD模拟中表现出臭名昭着的问题的Roper共振。

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.