2010/08/31 by F. Garcia Daza, F García Daza, N. G. Kelkar +3 · 10 citations
Physics and Astronomy · #Atomic and Molecular Physics #Coulomb #Dipole #Hydrogen #Hydrogen atom #Hyperfine structure #Observable #Proton #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #hep-ph #physics.atom-ph
paper · pdf · doi:10.1088/0954-3899/39/3/035103
published in Journal of Physics G Nuclear and Particle Physics 39(3), 035103 (IOP Publishing) · 24 pages, Latex, extended version, title changed
arxiv created 2011/11/21 · openalex publication_date 2012/02/02 · arxiv updated 2015/05/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The Breit equation with two electromagnetic form factors is studied to obtain a potential with finite-size corrections. This potential with proton structure effects includes, apart from the standard Coulomb term, the Darwin term, retarded potentials, spin–spin and spin–orbit interactions corresponding to the fine and hyperfine structures in the hydrogen atom. Analytical expressions for the hyperfine potential with form factors and the subsequent energy levels including the proton structure corrections are given using the dipole form of the form factors. Numerical results are presented for the finite-size corrections in the 1S and 2S hyperfine splittings in the hydrogen atom, the Sternheim observable D 21 and the 2S and 2P hyperfine splittings in muonic hydrogen. Finally, a comparison with some other existing methods in the literature is presented.