Unitary-Model-Operator Approach to Nuclear Many-Body Problem. I : The Ground-State and One-Body Energies of ^<16>O : Nuclear Physics

概要

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A theory is formulated to derive an effective interaction in nuclei in the framework of the unitary-model-operator approach. A unitary operator is introduced to describe two-body correlations, and it is determined from the condition that the effective interaction should be decoupled between the low-momentum model space and the high-momentum space. The unitary-transformed Hamiltonian is represented in a cluster expansion form. The one- and two-body cluster terms are mainly discussed. The theory is applied to the calculation of the energies of the ground- and one-body states with the Reid soft core potential. A large gain of the energy has been obtained for the ground state in comparison with the result of the usual G-matrix theory. As for the one-body energies obtained, agreement with the experimental values is fairly good. Although the discrepancies with the experiments still remain at the 10〜15% level, the present approach shows to have some desirable features compared with the nuclear many-body theories proposed so far.
理論物理学刊行会の論文
1986-06-25