Abstract
The effects of the nuclear structure from two-photon exchange amplitudes in the hyperfine structure of P-states in muonic ions of lithium, beryllium, and boron are calculated. The operator of particle interaction in momentum space is constructed using the method of projection operators on states with certain total momenta of the atom F and muon J. Corrections to the nucleus structure are expressed in terms of electromagnetic form factors of nuclei and nuclear charge radii.
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