Nuclear Structure Correction to Hyperfine Splitting in Light Muonic Ions

Abstract

Within the framework of the quasipotential method in quantum electrodynamics, the corrections for the structure of the nucleus are calculated from two-photon exchange diagrams in the hyperfine splitting of energy levels in muon ions of lithium, beryllium and boron. The particle interaction operator is constructed using the method of projection operators on particle states with certain values of the total atomic momentum F and muon j. Corrections to the structure of the nucleus are presented in integral form containing the electromagnetic form factors of the nuclei. After the decomposition of form factors at small momentum transfers, the studied contribution is expressed in terms of the nuclear charge radii. The corrections obtained must be taken into account in the precision calculation of the transition frequencies between the 2S and 2P levels.