Nrqed Approach to the Hyperfine Structure of the Muonium Ground State
نویسنده
چکیده
The method of NRQED is an adaptation of QED to bound systems. While it is fully equivalent to QED, it enables us to explore the QED bound states systematically as an expansion in the fine structure constant α and velocity (∼ Zα) of the bound electron. I describe how to construct the NRQED Hamiltonian choosing recent works on the α(Zα), α (Zα), α(Zα), α(Zα), and α(Zα) radiative corrections to the hyperfine structure of the muonium ground state as examples.
منابع مشابه
O ( α 3 ln α ) corrections to muonium and positronium hyperfine splitting
The perturbative series for binding energies of a QED bound state are non-analytic in the fine structure constant and the expansion contains powers of α1 ln2 α, where n1 and n2 are some integer numbers. The appearance of logarithms of α is best explained by the fact that different scales, such as the mass m, the momentum mα and the typical energy mα control dynamics of the bound state. In a rec...
متن کاملRadiative Corrections to the Muonium Hyperfine Structure . II . The α ( Zα ) 2 Correction
This is the second of a series of papers on the radiative corrections of order α2(Zα), α(Zα)2, and various logarithmic terms of order α4, to the hyperfine structure of the muonium ground state. This paper deals with the α(Zα)2 correction. Based on the NRQED bound state theory, we isolated the term of order α(Zα)2 exactly. Our result +16.904 2 (11)α(Zα)EF /π for the nonlogarithmic part is consis...
متن کاملHadronic effects in leptonic systems: muonium hyperfine structure and anomalous magnetic moment of muon
Contributions of hadronic effects to the muonium physics and anomalous magnetic moment of muon are considered. Special attention is paid to higher-order effects and the uncertainty related to the hadronic contribution to the hyperfine structure interval in the ground state of muonium. PACS Nos.: 12.20.-m, 36.10.Dr, 31.30.Jv and 13.65.+i Résumé : French version of abstract (supplied by CJP) [Tra...
متن کاملCorrections to the Muonium Hyperfine Splitting of Relative Order
We present the results of an analytic calculation of the corrections of relative order a2(me/mll) to the muonium ground state hyperfine splitting due to exchanged photons. We compare theory and experiment, taking into account these corrections and some radiative-recoil contributions described in an accompanying paper.
متن کاملMuonium Spectroscopy
The electromagnetic interactions of electrons and muons can be described to very high accuracy within the framework of standard theory, in particular within the hydrogen-like muonium atom. Therefore precision measurements allow to test basic interactions in physics and to search for yet unknown forces. Accurate values for fundamental constants can be obtained. Results from experiments on the gr...
متن کامل