Abstract
A microscopic approach to analyzing the excited states of magic nuclei is described. It is based on the systematic use of the method of quantum Green functions. When applied to the theory of giant multipole resonances, the approach explicitly includes the three principle mechanisms of resonance formation in a finite nucleus: decay via particle–hole configurations of the discrete spectrum, decay via particle–hole configurations with a particle in the continuum, and decay via more complicated configurations of the particle–hole⊗phonon type. The results of a numerical realization of this approach for describing giant resonances in magic stable and unstable nuclei are discussed.
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