Elsevier

Nuclear Physics A

Volume 260, Issue 2, 5 April 1976, Pages 253-268
Nuclear Physics A

The Brueckner-Goldstone method and its application in light nuclei

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Abstract

A new method for solving the reaction matrix equation is described. In this method the Pauli operator is treated exactly and the reaction matrix is found straightforwardly from systems of differential and algebraic equations. The three-body cluster contribution is discussed. The low truncation used in computation of it in other papers is shown to be unsatisfactory. A dependence of computed binding energy on the formally introduced parameter λ, corresponding to the shift of the single-particle spectrum of unoccupied states, is studied. In principle, the exact results should not depend on λ and therefore in an approximate calculation one must achieve a weak dependence on this parameter. It is shown that in this case the consideration of the third order in the Goldstone series is necessary. Various conditions are suggested for choosing the parameter λ. As an example of light nuclei, the 4He nucleus is chosen. Its binding energy is found to be about 20 MeV, both for the Reid potential and the RHEL potential.

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