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.

中文翻译：

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轻质离子中超细分裂的核结构校正。

在量子电动力学的准电势方法的框架内，通过锂，铍和硼的μ离子能级的超细分裂中的双光子交换图，计算原子核结构的校正量。粒子相互作用算子是使用投影算子在具有总原子动量F和μ子j的特定值的粒子状态下构造的。对原子核结构的校正以包含原子核电磁形状因数的整体形式表示。在小动量传递下形状因子分解后，所研究的贡献以核电荷半径表示。在2S和2P电平之间的转换频率的精确计算中，必须考虑获得的校正。