Bound State Theory and High Precision QED: Muonium, Positronium, Hydrogen, and Pentaquarks

物理学中一个活跃的基础研究领域是研究类氢原子和奇异原子，其中一个粒子（如电子）被另一个粒子（如μ子）取代。这些系统的性质的理论研究是该项目的主要目标。近年来，这一领域的实验达到了前所未有的精确度，在越来越强的水平上挑战理论。为了应对这一挑战，该项目将提供理论输入，以更高的精度确定许多基本物理常数，如电子-μ子和电子-质子质量比，质子电荷半径和里德伯常数。在这里开发的新的理论理解将用于基本物理常数的下一个CODATA分析。CODATA基本常数的汇编被用于每个科学教室，以及从基础研究到消费电子产品的许多科学和工程领域。该项目还将提供五夸克性质的理论见解，五夸克是欧洲核研究组织（CERN）LHCb合作最近发现的五种夸克的束缚态。参加这项研究的研究生和本科生将获得研究，计算机，解决问题和演讲技巧。类氢束缚态的高精度量子电动力学是一个活跃的理论研究领域，其动力来自于近年来取得的惊人实验进展和内在的智力挑战。尽管轻氢类束缚态理论取得了重大进展，但仍存在一些具有挑战性的问题，并将在本研究中解决：1）完成了对μ素超精细分裂的所有三圈辐射反冲修正的计算，2）完全计算了两圈辐射插入费米线对正电子偶素超精细分裂的硬三圈修正。光子交换非湮灭图; 3）对氢和μ介子兰姆位移的所有相关三圈非反冲修正的完整计算。以上是原子物理学中兰姆位移的最大未知贡献。分别计算了氢和μ介子超精细分裂的三圈非反冲修正。PI将进一步发展五夸克的强子夸克偶素解释。该项目将提供其属性的定量描述。

An area of active fundamental research in physics is the study of the hydrogen-like atoms and exotic atoms, atoms where one particle such as an electron is replaced by another such as a muon. Theoretical research of the properties of these systems represents the main goal of this project. In recent years, experiments in this area have reached an unprecedented level of accuracy, challenging the theory at a stronger and stronger level. Responding to this challenge, this project will provide theoretical input to the determination with higher precision of many fundamental physical constants, such as the electron-muon and electron-proton mass ratios, the proton charge radius, and the Rydberg constant. The new theoretical understanding developed here will be used in the next CODATA analysis of the fundamental physical constants. CODATA compilations of the fundamental constants are used in every science classroom, as well as in numerous fields of science and engineering, from fundamental research to consumer electronics. This project will also provide theoretical insight in the properties of pentaquarks, the bound states of five quarks recently discovered by the LHCb Collaboration at the European Organization for Nuclear Research (CERN). Graduate and undergraduate students participating in this research will acquire research, computer, problem solving, and presentation skills. High precision quantum electrodynamics of hydrogen-like bound states is an active field of theoretical research motivated both by the spectacular experimental progress achieved in recent years and the intrinsic intellectual challenge. Despite significant progress in the theory of light hydrogen-like bound states, a number of challenging problems remain and will be addressed in this research: 1) Complete calculation of all three-loop radiative-recoil corrections to hyperfine splitting in muonium, 2) Complete calculation of hard three-loop corrections to hyperfine splitting in positronium due to two-loop radiative insertions in the fermion lines in two-photon exchange nonannihilation diagrams, 3) Complete calculation of all relevant three-loop nonrecoil corrections to the Lamb shift in hydrogen and muonium. The above represent the largest unknown contributions to the Lamb shift in atomic physics. Respective three-loop nonrecoil corrections to hyperfine splitting in hydrogen and muonium will be calculated also. The PI will further develop the hadrocharmomium interpretation of pentaquarks. The project will provide quantitative description of their properties.