Unitary-Model-Operator Approach to Nuclear Effective Interaction. II: Effects of Three-Body Cluster Term
Author(s) -
K. Suzuki
Publication year - 1982
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.68.1999
Subject(s) - physics , unitary state , hamiltonian (control theory) , term (time) , coupled cluster , cluster (spacecraft) , unitary operator , cluster expansion , operator (biology) , valence (chemistry) , unitary transformation , theoretical physics , quantum mechanics , mathematics , biochemistry , chemistry , repressor , hilbert space , political science , computer science , transcription factor , law , quantum , gene , programming language , mathematical optimization , molecule
The problem of the short-range correlations in nuclei is studied in the framework of the unitary-model-operator approach. A unitary-transformed Hamiltonian is introduced and given in a cluster expansion form. A general theory of treating the effects of the three-body cluster teim is proposed. It is emphasized that the one-body average field representing the dispersive effect of medium plays an important role in the evaluation of the contributions of the three-body cluster term to the oneand two-body effective interactions acting among valence particles. It is shown that the core-polarization term with rather high 3P-1h intermediate states is derived naturally from the analysis of the three-body cluster term and it appears as the leading correction term to the oneand two-body effective interactions. The relation is discussed between the present approach and the usual linked-diagram theory based on the G matrix.
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