Abstract
This paper attempts to develop a general theory of self-consistent effective interactions in nuclei which are reliable for describing the anharmonicities in nuclear collective motions caused by couplings between various modes of motion. Based on the concept of nuclear saturation and the self-consistency between the shape of an average potential and that of a density distribution (nuclear self-consistency), higher-order effective interactions (e.g. a three-body interaction, etc.) are derived in order to satisfy the nuclear self-consistency in higher-order accuracy when more than one mode is simultaneously excited in the system. The physical meaning of the interactions thus derived and the effect of them on the mode-mode couplings are discussed.
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