Theory of Loosely Bound Composite Systems: Multiloop Corrections to Lamb Shift, Hyperfine Splitting, and g-Factors

松散结合复合系统理论：Lamb 位移、超精细分裂和 g 因子的多环修正

• 批准号: 0456462
• 负责人: Michael Eides
• 金额: --
• 依托单位: University of Kentucky Research Foundation
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-06-01 至 2008-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0456462&HistoricalAwards=false
• 关键词: Theory; Loosely; Bound; Composite; Systems

High precision experiments with two-body bound systems have achieved a new level of accuracy in recent years and further progress is expected. The experimental errors of measurements of energy shifts in hydrogen, muonium and other simple hydrogenlike ions were reduced by orders of magnitude. These recent developments opened new perspectives for precise determination of many fundamental constants (the Rydberg constant, electron-muon mass ratio, electron mass in atomic units, proton charge radius,deuteron structure radius, etc.), and for comparison of the experimental and theoretical results on the Lamb shifts and hyperfinne splitting.The experimental progress poses new theoretical challenges. Reduction of the theoretical error of the value of the 1S Lamb shift in hydrogen to the level below 1 kHz (and, respectively, of the 2S Lamb shift to below several tenth of kHz) should be considered as a next stage of the theory. The theoretical error of the hyperfine splitting in muonium should be reduced to about 10 Hz. The theoretical error of the 2S 2P Lamb shift in muonic hydrogen should be reduced below 0:001 meV. The problem of the spin dependence of the bound state corrections to g factors should be resolved.The following major problems in the theory of low Z systems will be addressed in the proposed research: Three-loop nonrecoil corrections to the Lamb shift and hyperfine splitting in hydrogen and muoinium. Three-loop radiative-recoil corrections to hyperfine splitting in muonium. Nonrecoil high-order corrections to the Lamb shift in muonic hydrogen and the binding and recoil corrections to the bound g factor in systems including particles with spins j 6= 1=2.Modern methods of perturbative quantum electrodynamics will be used to perform all of the calculations.

近年来，二体系统高精度实验的精度达到了一个新的水平，并有望进一步发展。测量氢、介子离子和其他简单类氢离子的能量位移的实验误差减小了几个数量级。这些最新进展为精确测定许多基本常数（里德伯常数、电子-介子质量比、原子单位电子质量、质子电荷半径、氘核结构半径等）以及比较兰姆位移和超精细分裂的实验和理论结果开辟了新的前景。实验进展对理论提出了新的挑战。将氢中1S兰姆位移值的理论误差降低到1khz以下（分别将2S兰姆位移值降低到十分之一kHz以下）应被认为是该理论的下一个阶段。子离子中超细分裂的理论误差应减小到10 Hz左右。介子氢的2S - 2P Lamb位移的理论误差应减小到0∶001 meV以下。需要解决束缚态修正对g因子的自旋依赖问题。提出的研究将解决低Z体系理论中的以下主要问题：对兰姆位移的三环非反冲修正和氢和muoinium的超精细分裂。对介子粒子超细分裂的三环辐射反冲修正。介子氢中Lamb位移的非反冲高阶修正和自旋为j6 = 1=2的粒子系统中g因子的结合和反冲修正。现代微扰量子电动力学方法将用于执行所有的计算。