The problem of determining the main parameters of light nuclei from precision atomic spectroscopy is considered. Within the framework of the quasipotential method in quantum electrodynamics, the energy interval [Formula: see text] in muonic ions of lithium, beryllium and boron is calculated. Corrections of orders [Formula: see text], which are determined by relativistic effects, effects of vacuum polarization, nuclear structure and recoil, as well as combined corrections, including the above, are taken into account. Nuclear structure effects are expressed in terms of the nuclear charge radius in the case of one-photon interaction and the electromagnetic form factors of nuclei in the case of two-photon interaction. The obtained numerical values for the [Formula: see text] interval can be used for comparison with future experimental data and for a more accurate determination of the nucleus charge radii.

中文翻译：

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锂、铍和硼的μ子离子的精密物理

考虑了从精密原子光谱中确定轻核主要参数的问题。在量子电动力学的准电势方法的框架内，计算了锂、铍和硼的μ子离子的能量区间[公式：见正文]。考虑到由相对论效应、真空极化效应、核结构和反冲效应以及包括上述在内的组合修正确定的阶次修正[公式：见正文]。核结构效应在单光子相互作用的情况下用核电荷半径表示，在双光子相互作用的情况下用原子核的电磁形状因子表示。[公式：