Nonperturbative evaluation of some QED contributions to the muonic hydrogen n=2 Lamb shift and hyperfine structure

The largest contributions to the n = 2 Lamb shift, fine structure interval and 2s hyperfine structure of muonic hydrogen are calculated by accurate numerical evaluations of the Dirac equation rather than by a perturbation expansion in powers of 1/c, in the framework of nonrelativistic quantum electrodynamics. Previous calculations and the validity of the perturbation expansion for light elements are confirmed. The dependence of the various effects on the nuclear size and model are studied. DOI: 10.1103/PhysRevA.87.022501