Investigation on radiative corrections related to the fine structure and hyperfine structure

Abstract

Radiative corrections related to the fine structure, Lamb shift and hyperfine structure of atomic energy levels are studied. Since the perturbation Hamiltonian is very small compared to zero order Hamiltonian first order perturbation is used theory to find the respective corrections. The expressions obtained for the fine structure of hydrogen atom using the relativistic approach coincides with those obtained using the Dirac equation and the fine structure correction is proportional to 𝛼 2 𝐸𝑛𝑜, which is a small fraction of the Bohr energy. The Lamb shift correction is proportional to 𝛼 3 𝐸𝑛𝑜. While the hyperfine structure correction is proportional to 10-3 𝛼 2 𝐸𝑛𝑜. The implications of fine structure and hyperfine structure are seen as an outcome of very small corrections. Coincidence of this result with spectroscopic measurements will be a welcome confirmation.