Theory of Light Hydrogenlike Bound States: High Order Corrections in Muonic and Electronic Atoms and Ions

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，既有壮观的实验进展，也有智力挑战。 尽管在轻，类氢束缚态的理论取得了重大进展，有一些具有挑战性的问题，在这个领域，在这个项目中解决。主要目标之一是寻找从μ介子氢实验中获得的质子电荷半径值与从氢光谱和电子-质子散射中获得的质子电荷半径值之间差异的理论解释。计划改进μ子氢和氘以及轻μ子氦离子的兰姆位移理论。其他目标包括计算极化率贡献的兰姆位移和超精细分裂的μ子原子和离子，和其他未知的μ子原子的修正。进一步发展和完善μ介子的超精细分裂理论和电子氢的Lamb位移理论是本项目的目标之一，本研究所获得的理论结果将应用于分析即将到来的μ介子和电子原子和离子的实验结果。这种分析将导致更精确的基本物理常数值，特别是质子半径，以及氘和α粒子的半径。这些值将在计量学和核物理学中得到应用。新的理论表达式将用于基本物理常数的新CODATA分析中，而基本常数的CODATA编译则用于每个科学教室，以及从基础研究到消费电子产品的众多科学和工程领域。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。研究生的研究活动预计将导致博士论文。该项目将促进国际合作，因为计划与外国科学家合作。拟议研究的结果将发表在参考期刊上，将在国内和国际会议和研讨会上发表，并将用于研究生课程的教学。

High precision quantum electrodynamics of hydrogenlike bound states is an active field of theoretical research, motivated both by the spectacular experimental progress and the intellectual challenge. Despite significant progress in the theory of light, hydrogenlike bound states, there are a number of challenging problems in this field that are addressed in this project. Search for a theoretical explanation of the discrepancy between the value of the proton charge radius obtained from the experiment with muonic hydrogen and the proton charge radius derived from hydrogen spectroscopy and electron-proton scattering is one of the main objectives. Improvement of the theory of the Lamb shift in muonic hydrogen and deuterium, and in light muonic helium ions is planned. Other objectives include calculation of polarizability contributions to the Lamb shift and hyperfine splitting in muonic atoms and ions, and of other unknown corrections in muonic atoms. Further development and improvement of the theory of hyperfine splitting in muonium and the theory of the Lamb shift in electronic hydrogen are among the goals of this project.The theoretical results obtained in this research will find applications in the analysis of the forthcoming experimental results on muonic and electronic atoms and ions. This analysis will result in more precise values of the fundamental physical constants, especially the proton radius, as well as radii of the deuteron and alpha particles. These values will find applications in metrology and nuclear physics. New theoretical expressions will be used in the new CODATA analysis of the fundamental physical constants, and in its turn CODATA compilations of the fundamental constants are used in every science classroom, and in numerous fields of science and engineering, from fundamental research to consumer electronics. Graduate and undergraduate students participating in this research will acquire research, computer, problem solving, and presentation skills. Research activity of a graduate student is expected to lead to a PhD thesis. This project will promote international collaboration, as collaboration with foreign scientists is planned. The results of the proposed research will be published in refereed journals, will be presented at domestic and international conferences and workshops, and will be used in teaching graduate courses.