Hyperfine spin-spin interaction and Zeeman effect in the pure bound field theory

Abstract

We carry out a joint analysis of the hyperfine spin-spin splitting (HFS) and the Zeeman effect in the framework of Pure Bound Field Theory (PBFT) we recently suggested (A.L. Kholmetskii et al. Eur. Phys. J. Plus 126 (2011) 33; 126 (2011) 35), where the PBFT corrections to the known results have a similar form due to the common physical origin of both effects. We consequently consider the hydrogen atom, positronium, muonium and muonic hydrogen atom and show that for the Zeeman effect in muonic hydrogen, the PBFT correction occurs measurable and its presence/absence can be subjected to an experimental test, which thus will be crucial for the verification of PBFT versus the common theory. Concurrently we derive the PBFT correction to the muon mass, which is cancelled in the joint analysis of HFS and Zeeman effect, but can be revealed in muon-spin-precession-resonance experiments with enhanced precision. As a result, we achieve better agreement between the estimations of the muon mass in different experiments. In addition, we have shown that the PBFT correction to the proton Zemach radius is one order of magnitude smaller than the measurement uncertainty and can be well ignored, unlike the case of the proton charge radius. © Società Italiana di Fisica/Springer-Verlag 2012.