CAREER: Three-body Analysis in the Finite Volume

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。强子内部的质量起源和共振现象的模式原则上可以用强作用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。在这种情况下，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，并关闭观察到的现象和它们的解释之间的差距从第一原则。PI还将为当地高中开设计算机编程讲习班，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和其他学科数据所需的技能。强有力的基础理论量子色动力学（QCD）可以在超级计算机上使用格点QCD方法进行模拟。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。对于三个粒子的情况，这些影响是不理解的。因此，该项目旨在发展三体方法，使格点QCD结果能够外推到物理世界，并帮助回答关于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形式主义来解决概念上的挑战，例如三体幺正性。广泛使用的分析工具，设计最小的模型依赖，将被开发，并将被应用到研究系统的高电流的兴趣，如exotics，X（3872），和罗珀共振，表现出臭名昭著的问题，在QCD模拟。

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.