The Green function formalism with a consistent account for phonon coupling (PC), based on the self-consistent theory of finite Fermi systems, is applied for pygmy- and giant multipole resonances in magic nuclei with the aim to consider particle–hole (ph) and complex 1p1h\(\otimes \)phonon configurations. A new equation for the effective field, which describes nuclear polarizability, is obtained. It contains new PC contributions, which are of interest in the energy region under consideration. They are due to: (1) the tadpole effect in the standard ph-propagator, (2) two new induced interactions (caused by the exchange of the ph-phonon) in the second ph-channel and in the particle–particle channels, and (3) the first and second variations of the effective interaction in the phonon field. The general expressions for energies and probabilities of transitions between the ground and excited states are obtained. The qualitative analysis and discussion of the new terms are performed.

在有限费米系统的自洽理论的基础上，格林函数形式主义具有对声子耦合（PC）的一致解释，被应用于魔术原子核中的侏儒和巨型多极共振，目的是考虑粒子-空穴（ph）和复杂的1p1h \（\ otimes \）声子配置。获得了一个有效场的新方程，该方程描述了核的极化率。它包含新的PC贡献，这在所考虑的能源领域中令人关注。它们是由于：（1）标准ph传播剂中的the效应；（2）第二个ph通道和质点-质点通道中的两个新的诱导相互作用（由ph声子的交换引起）， （3）声子场中有效相互作用的第一和第二变化。获得了基态和激发态之间跃迁的能量和概率的一般表达式。对新术语进行定性分析和讨论。