Hyperfine Structure and Zeeman Splitting in Two-Fermion Bound-State Systems
High Energy Physics - Phenomenology
2007-05-23 v1
Abstract
A relativistic wave equation for bound states of two fermions with arbitrary masses which are exposed to a magnetic field is derived from quantum electrodynamics. The interaction kernels are based upon the generalized invariant M-matrices for inter-fermion and fermion-field interactions. As an application we calculate the energy corrections in a weak homogeneous B field to obtain the Zeeman splitting of the hyperfine structure and g-factors in the lowest order (i.e. to alpha^4). Lande g-factors are presented for several of the first excited states of hydrogen, muonium, and muonic-hydrogen.
Cite
@article{arxiv.hep-ph/0701239,
title = {Hyperfine Structure and Zeeman Splitting in Two-Fermion Bound-State Systems},
author = {Andrei G. Terekidi and Jurij W. Darewych and Marko Horbatsch},
journal= {arXiv preprint arXiv:hep-ph/0701239},
year = {2007}
}
Comments
18 pages, 1 figure