Abstract
We reviewed a new effective consistent approach to determination of the cross-section for the negative muon capture by an atomic system. The approach is based on the relativistic many-body perturbation (PT) theory with using the Feynman diagram technique and a generalized relativistic energy approach in a gauge-invariant formulation. The corresponding capture cross-section is connected with an imaginary (scattering) part of the electron subsystem energy shift ImδE (till the QED perturbation theory order). The some calculation results for cross-section of the negative muon m-capture by He atom are listed and reviewed. The theoretical and experimental studying the muon-g-nuclear interaction effects opens prospects for nuclear quantum optics, probing the structural features of a nucleus and muon spectroscopy in atomic and molecular photophysics.
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